Demo 6Demo 6 is a speed test, which can be explicitly analysed using this execution protocol. While runningthe speed test the LaTeX output is deactivated and the root finding process iterated a large numberof times to better measure the average execution time. The measurement results are saved as rawdata in the file demo6speed.txt.In this demo or speed test the following polynomials with a single root at 13 are used (Example 9from Bartoň and Jüttler):

f2 := (t− 13)(3− t)f4 := (t− 13)(2− t)(t+ 5)

2

f8 := (t− 13)(2− t)3(t+ 5)4

f16 := (t− 13)(2− t)5(t+ 5)10

Contents

I Numeric = double 37

1 Running BezClip on f2 with epsilon 2 371.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 371.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 381.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 381.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

2 Running QuadClip on f2 with epsilon 2 402.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 402.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 412.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42

3 Running CubeClip on f2 with epsilon 2 433.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 433.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

4 Running BezClip on f2 with epsilon 4 464.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 464.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 464.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 474.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 474.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

5 Running QuadClip on f2 with epsilon 4 495.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 495.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 505.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

6 Running CubeClip on f2 with epsilon 4 526.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 526.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54

1

7 Running BezClip on f2 with epsilon 8 557.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 557.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 557.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 567.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 577.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 577.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

8 Running QuadClip on f2 with epsilon 8 598.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 598.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 608.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

9 Running CubeClip on f2 with epsilon 8 629.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 629.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

10 Running BezClip on f2 with epsilon 16 6510.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 6510.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 6510.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 6610.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 6710.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 6710.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 6710.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

11 Running QuadClip on f2 with epsilon 16 6911.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 6911.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 7011.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 7111.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

12 Running CubeClip on f2 with epsilon 16 7312.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 7312.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

13 Running BezClip on f2 with epsilon 32 7613.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 7613.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 7613.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 7713.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 7813.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 7813.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 7813.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79

14 Running QuadClip on f2 with epsilon 32 8014.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 8014.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 8114.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 8214.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 8414.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85

2

15 Running CubeClip on f2 with epsilon 32 8615.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 8615.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

16 Running BezClip on f2 with epsilon 64 8916.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 8916.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 8916.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 9016.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 9116.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 9116.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 9116.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92

17 Running QuadClip on f2 with epsilon 64 9317.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 9317.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 9417.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 9517.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 9717.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98

18 Running CubeClip on f2 with epsilon 64 9918.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 9918.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101

19 Running BezClip on f2 with epsilon 128 10219.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 10219.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 10219.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 10319.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 10419.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 10419.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 10419.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

20 Running QuadClip on f2 with epsilon 128 10620.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 10620.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 10720.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 10820.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 11020.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

21 Running CubeClip on f2 with epsilon 128 11221.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 11221.2 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114

22 Running BezClip on f4 with epsilon 2 11522.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 11522.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 11522.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 11622.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

23 Running QuadClip on f4 with epsilon 2 11823.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 118

3

23.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 11923.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 12023.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

24 Running CubeClip on f4 with epsilon 2 12224.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 12224.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 12324.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124

25 Running BezClip on f4 with epsilon 4 12525.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 12525.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 12525.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 12625.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 12625.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

26 Running QuadClip on f4 with epsilon 4 12826.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 12826.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 12926.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 13026.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131

27 Running CubeClip on f4 with epsilon 4 13227.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 13227.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 13327.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 13427.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135

28 Running BezClip on f4 with epsilon 8 13628.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 13628.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 13628.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 13728.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 13728.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138

29 Running QuadClip on f4 with epsilon 8 13929.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 13929.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 14029.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 14129.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 14229.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

30 Running CubeClip on f4 with epsilon 8 14430.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 14430.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 14530.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 14630.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

31 Running BezClip on f4 with epsilon 16 14831.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 14831.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 14831.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 149

4

31.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 15031.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 15031.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

32 Running QuadClip on f4 with epsilon 16 15232.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 15232.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 15332.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 15432.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 15632.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 15732.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158

33 Running CubeClip on f4 with epsilon 16 15933.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 15933.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 16033.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 16133.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 16333.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164

34 Running BezClip on f4 with epsilon 32 16534.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 16534.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 16534.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 16634.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 16734.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 16734.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168

35 Running QuadClip on f4 with epsilon 32 16935.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 16935.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 17035.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 17135.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 17335.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 17435.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175

36 Running CubeClip on f4 with epsilon 32 17636.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 17636.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 17736.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 17836.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 18036.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181

37 Running BezClip on f4 with epsilon 64 18237.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 18237.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 18237.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 18337.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 18437.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 18437.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185

38 Running QuadClip on f4 with epsilon 64 186

5

38.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 18638.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 18738.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 18838.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 19038.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 19138.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192

39 Running CubeClip on f4 with epsilon 64 19339.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 19339.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 19439.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 19539.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 19739.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198

40 Running BezClip on f4 with epsilon 128 19940.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 19940.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 19940.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 20040.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 20140.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 20140.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202

41 Running QuadClip on f4 with epsilon 128 20341.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 20341.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 20441.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 20541.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 20741.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 20841.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209

42 Running CubeClip on f4 with epsilon 128 21042.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 21042.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 21142.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 21242.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 21442.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215

43 Running BezClip on f8 with epsilon 2 21643.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 21643.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 21743.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 21743.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 21843.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

44 Running QuadClip on f8 with epsilon 2 22044.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 22044.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 22144.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 22244.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223

45 Running CubeClip on f8 with epsilon 2 224

6

45.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 22445.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 22545.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 22645.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227

46 Running BezClip on f8 with epsilon 4 22846.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 22846.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 22946.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 22946.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 23046.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231

47 Running QuadClip on f8 with epsilon 4 23247.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 23247.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 23347.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 23447.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235

48 Running CubeClip on f8 with epsilon 4 23648.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 23648.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 23748.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 23848.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239

49 Running BezClip on f8 with epsilon 8 24049.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 24049.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 24149.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 24149.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 24249.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 24249.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243

50 Running QuadClip on f8 with epsilon 8 24450.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 24450.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 24550.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 24750.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 24850.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249

51 Running CubeClip on f8 with epsilon 8 25051.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 25051.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 25151.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 25251.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253

52 Running BezClip on f8 with epsilon 16 25452.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 25452.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 25552.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 25552.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 25652.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 256

7

52.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 25752.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 258

53 Running QuadClip on f8 with epsilon 16 25953.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 25953.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 26053.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 26253.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 26353.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264

54 Running CubeClip on f8 with epsilon 16 26554.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 26554.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 26654.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 26854.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 26954.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 270

55 Running BezClip on f8 with epsilon 32 27155.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 27155.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 27255.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 27255.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 27355.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 27355.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 27455.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275

56 Running QuadClip on f8 with epsilon 32 27656.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 27656.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 27756.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 27956.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 28056.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281

57 Running CubeClip on f8 with epsilon 32 28257.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 28257.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 28357.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 28557.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 28657.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287

58 Running BezClip on f8 with epsilon 64 28858.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 28858.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 28958.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 28958.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 29058.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 29058.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 29158.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292

59 Running QuadClip on f8 with epsilon 64 29359.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 293

8

59.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 29459.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 29659.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 29759.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298

60 Running CubeClip on f8 with epsilon 64 29960.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 29960.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 30060.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 30260.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 30360.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304

61 Running BezClip on f8 with epsilon 128 30561.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 30561.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 30661.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 30661.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 30761.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 30761.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 30861.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309

62 Running QuadClip on f8 with epsilon 128 31062.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 31062.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 31162.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 31362.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 31462.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315

63 Running CubeClip on f8 with epsilon 128 31663.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 31663.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 31763.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 31963.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 32063.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 321

64 Running BezClip on f16 with epsilon 2 32264.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 32264.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 32364.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 32364.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 32464.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325

65 Running QuadClip on f16 with epsilon 2 32665.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 32665.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 32865.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 32965.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 330

66 Running CubeClip on f16 with epsilon 2 33166.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 33166.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 333

9

66.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 33466.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335

67 Running BezClip on f16 with epsilon 4 33667.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 33667.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 33767.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 33767.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 33867.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339

68 Running QuadClip on f16 with epsilon 4 34068.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 34068.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 34268.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 34368.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344

69 Running CubeClip on f16 with epsilon 4 34569.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 34569.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 34769.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 34869.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349

70 Running BezClip on f16 with epsilon 8 35070.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 35070.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 35170.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 35170.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 35270.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 35370.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354

71 Running QuadClip on f16 with epsilon 8 35571.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 35571.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 35771.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 35871.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 35971.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360

72 Running CubeClip on f16 with epsilon 8 36172.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 36172.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 36372.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 36472.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365

73 Running BezClip on f16 with epsilon 16 36673.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 36673.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 36773.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 36773.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 36873.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 36973.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 36973.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370

10

74 Running QuadClip on f16 with epsilon 16 37174.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 37174.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 37374.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 37474.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 37574.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 37774.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378

75 Running CubeClip on f16 with epsilon 16 37975.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 37975.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 38175.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 38275.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 38475.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 38575.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386

76 Running BezClip on f16 with epsilon 32 38776.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 38776.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 38876.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 38876.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 38976.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 39076.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 39076.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391

77 Running QuadClip on f16 with epsilon 32 39277.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 39277.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 39477.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 39577.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 39677.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 39877.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 39977.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400

78 Running CubeClip on f16 with epsilon 32 40178.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 40178.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 40378.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 40478.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 40678.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 40778.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 408

79 Running BezClip on f16 with epsilon 64 40979.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 40979.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 41079.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 41079.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 41179.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 41279.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 41279.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413

11

80 Running QuadClip on f16 with epsilon 64 41480.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 41480.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 41680.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 41780.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 41880.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 42080.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 42180.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 422

81 Running CubeClip on f16 with epsilon 64 42381.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 42381.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 42581.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 42681.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 42881.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 42981.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 430

82 Running BezClip on f16 with epsilon 128 43182.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 43182.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 43282.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 43282.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 43382.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 43482.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 43482.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435

83 Running QuadClip on f16 with epsilon 128 43683.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 43683.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 43883.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 43983.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 44083.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 44283.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 44383.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 444

84 Running CubeClip on f16 with epsilon 128 44584.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 44584.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 44784.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 44884.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 45084.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 45184.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452

II Numeric = long double 453

85 Running BezClip on f2 with epsilon 2 45385.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 45385.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 45485.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 45485.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455

12

86 Running QuadClip on f2 with epsilon 2 45686.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 45686.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 45786.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 458

87 Running CubeClip on f2 with epsilon 2 45987.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 45987.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 46087.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 46187.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 463

88 Running BezClip on f2 with epsilon 4 46488.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 46488.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 46488.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 46588.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 46588.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466

89 Running QuadClip on f2 with epsilon 4 46789.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 46789.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 46889.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 469

90 Running CubeClip on f2 with epsilon 4 47090.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 47090.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 47190.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 47290.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 474

91 Running BezClip on f2 with epsilon 8 47591.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 47591.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 47591.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 47691.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 47791.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 47791.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 478

92 Running QuadClip on f2 with epsilon 8 47992.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 47992.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 48092.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481

93 Running CubeClip on f2 with epsilon 8 48293.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 48293.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 48393.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 48493.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486

94 Running BezClip on f2 with epsilon 16 48794.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 48794.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 48794.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 488

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94.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 48994.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 48994.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 48994.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 490

95 Running QuadClip on f2 with epsilon 16 49195.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 49195.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 49295.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 493

96 Running CubeClip on f2 with epsilon 16 49496.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 49496.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 49596.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 49696.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498

97 Running BezClip on f2 with epsilon 32 49997.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 49997.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 49997.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 50097.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 50197.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 50197.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 50197.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 502

98 Running QuadClip on f2 with epsilon 32 50398.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 50398.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 50498.3 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 506

99 Running CubeClip on f2 with epsilon 32 50799.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 50799.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 50899.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 50999.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 511

100 Running BezClip on f2 with epsilon 64 512100.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 512100.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 512100.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 513100.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 514100.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 514100.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 514100.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515

101 Running QuadClip on f2 with epsilon 64 516101.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 516101.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 517101.3 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519

102 Running CubeClip on f2 with epsilon 64 520102.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 520

14

102.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 521102.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 522102.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524

103 Running BezClip on f2 with epsilon 128 525103.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 525103.2 Recursion Branch 1 1 in Interval 1: [0.3, 0.428571] . . . . . . . . . . . . . . . . . . 525103.3 Recursion Branch 1 1 1 in Interval 1: [0.332927, 0.334552] . . . . . . . . . . . . . . 526103.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333334] . . . . . . . . . . . . . 527103.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 527103.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 527103.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 528

104 Running QuadClip on f2 with epsilon 128 529104.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 529104.2 Recursion Branch 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . . 530104.3 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532

105 Running CubeClip on f2 with epsilon 128 533105.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 533105.2 Recursion Branch 1 1 on the First Half [0, 0.5] . . . . . . . . . . . . . . . . . . . . 534105.3 Recursion Branch 1 2 on the Second Half [0.5, 1] . . . . . . . . . . . . . . . . . . . 535105.4 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 537

106 Running BezClip on f4 with epsilon 2 538106.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 538106.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 538106.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 539106.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 540

107 Running QuadClip on f4 with epsilon 2 541107.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 541107.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 542107.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 543107.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 544

108 Running CubeClip on f4 with epsilon 2 545108.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 545108.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 546108.3 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 547

109 Running BezClip on f4 with epsilon 4 548109.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 548109.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 548109.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 549109.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 549109.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 550

110 Running QuadClip on f4 with epsilon 4 551110.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 551110.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 552110.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 553

15

110.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554

111 Running CubeClip on f4 with epsilon 4 555111.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 555111.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 556111.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 557111.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 558

112 Running BezClip on f4 with epsilon 8 559112.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 559112.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 559112.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 560112.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 560112.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 561

113 Running QuadClip on f4 with epsilon 8 562113.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 562113.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 563113.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 564113.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 565113.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 566

114 Running CubeClip on f4 with epsilon 8 567114.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 567114.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 568114.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 569114.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 570

115 Running BezClip on f4 with epsilon 16 571115.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 571115.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 571115.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 572115.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 573115.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 573115.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574

116 Running QuadClip on f4 with epsilon 16 575116.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 575116.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 576116.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 577116.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 578116.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 579

117 Running CubeClip on f4 with epsilon 16 580117.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 580117.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 581117.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 582117.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 584117.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 585

118 Running BezClip on f4 with epsilon 32 586118.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 586

16

118.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 586118.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 587118.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 588118.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 588118.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 589

119 Running QuadClip on f4 with epsilon 32 590119.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 590119.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 591119.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 592119.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 594119.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 595119.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 596119.7 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 597

120 Running CubeClip on f4 with epsilon 32 598120.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 598120.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 599120.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 600120.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 602120.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 603

121 Running BezClip on f4 with epsilon 64 604121.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 604121.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 604121.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 605121.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 606121.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 606121.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 607

122 Running QuadClip on f4 with epsilon 64 608122.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 608122.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 609122.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 610122.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 612122.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 613122.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 614122.7 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 615

123 Running CubeClip on f4 with epsilon 64 616123.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 616123.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 617123.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 618123.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 620123.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621

124 Running BezClip on f4 with epsilon 128 622124.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 622124.2 Recursion Branch 1 1 in Interval 1: [0.324834, 0.409836] . . . . . . . . . . . . . . . 622124.3 Recursion Branch 1 1 1 in Interval 1: [0.333317, 0.333491] . . . . . . . . . . . . . . 623124.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 624

17

124.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 624124.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 625

125 Running QuadClip on f4 with epsilon 128 626125.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 626125.2 Recursion Branch 1 1 in Interval 1: [0.307477, 0.351097] . . . . . . . . . . . . . . . 627125.3 Recursion Branch 1 1 1 in Interval 1: [0.333332, 0.333335] . . . . . . . . . . . . . . 628125.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 630125.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 631125.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 632125.7 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 633

126 Running CubeClip on f4 with epsilon 128 634126.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 634126.2 Recursion Branch 1 1 in Interval 1: [0.331524, 0.335136] . . . . . . . . . . . . . . . 635126.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 636126.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 638126.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 639

127 Running BezClip on f8 with epsilon 2 640127.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 640127.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 641127.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 641127.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 642127.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 643

128 Running QuadClip on f8 with epsilon 2 644128.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 644128.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 645128.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 646128.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 647

129 Running CubeClip on f8 with epsilon 2 648129.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 648129.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 649129.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 650129.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 651

130 Running BezClip on f8 with epsilon 4 652130.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 652130.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 653130.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 653130.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 654130.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 655

131 Running QuadClip on f8 with epsilon 4 656131.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 656131.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 657131.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 658131.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 659

132 Running CubeClip on f8 with epsilon 4 660

18

132.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 660132.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 661132.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 662132.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 663

133 Running BezClip on f8 with epsilon 8 664133.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 664133.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 665133.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 665133.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 666133.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 666133.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 667

134 Running QuadClip on f8 with epsilon 8 668134.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 668134.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 669134.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 671134.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 672134.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673

135 Running CubeClip on f8 with epsilon 8 674135.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 674135.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 675135.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 676135.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 677

136 Running BezClip on f8 with epsilon 16 678136.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 678136.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 679136.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 679136.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 680136.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 680136.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 681136.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 682

137 Running QuadClip on f8 with epsilon 16 683137.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 683137.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 684137.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 686137.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 687137.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 688

138 Running CubeClip on f8 with epsilon 16 689138.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 689138.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 690138.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 692138.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 693138.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694

139 Running BezClip on f8 with epsilon 32 695139.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 695

19

139.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 696139.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 696139.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 697139.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 697139.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 698139.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 699

140 Running QuadClip on f8 with epsilon 32 700140.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 700140.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 701140.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 703140.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 704140.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 705

141 Running CubeClip on f8 with epsilon 32 706141.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 706141.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 707141.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 709141.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 710141.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 711

142 Running BezClip on f8 with epsilon 64 712142.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 712142.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 713142.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 713142.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 714142.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 714142.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 715142.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 716

143 Running QuadClip on f8 with epsilon 64 717143.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 717143.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 718143.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 720143.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 721143.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 722

144 Running CubeClip on f8 with epsilon 64 723144.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 723144.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 724144.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 726144.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 727144.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 728

145 Running BezClip on f8 with epsilon 128 729145.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 729145.2 Recursion Branch 1 1 in Interval 1: [0.306796, 0.658588] . . . . . . . . . . . . . . . 730145.3 Recursion Branch 1 1 1 in Interval 1: [0.332635, 0.34642] . . . . . . . . . . . . . . 730145.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333343] . . . . . . . . . . . . . 731145.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 731145.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 732

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145.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 733

146 Running QuadClip on f8 with epsilon 128 734146.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 734146.2 Recursion Branch 1 1 in Interval 1: [0.326917, 0.344255] . . . . . . . . . . . . . . . 735146.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 737146.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 738146.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 739

147 Running CubeClip on f8 with epsilon 128 740147.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 740147.2 Recursion Branch 1 1 in Interval 1: [0.328258, 0.338551] . . . . . . . . . . . . . . . 741147.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 743147.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 744147.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745

148 Running BezClip on f16 with epsilon 2 746148.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 746148.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 747148.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 747148.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 748148.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 749

149 Running QuadClip on f16 with epsilon 2 750149.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 750149.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 752149.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 753149.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 754

150 Running CubeClip on f16 with epsilon 2 755150.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 755150.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 757150.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 758150.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 759

151 Running BezClip on f16 with epsilon 4 760151.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 760151.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 761151.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 761151.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 762151.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 763

152 Running QuadClip on f16 with epsilon 4 764152.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 764152.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 766152.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 767152.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 768

153 Running CubeClip on f16 with epsilon 4 769153.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 769153.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 771153.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 772

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153.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 773

154 Running BezClip on f16 with epsilon 8 774154.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 774154.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 775154.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 775154.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 776154.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 777154.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 778

155 Running QuadClip on f16 with epsilon 8 779155.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 779155.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 781155.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 782155.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 783155.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 784

156 Running CubeClip on f16 with epsilon 8 785156.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 785156.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 787156.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 788156.4 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 789

157 Running BezClip on f16 with epsilon 16 790157.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 790157.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 791157.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 791157.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 792157.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 793157.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 793157.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 794

158 Running QuadClip on f16 with epsilon 16 795158.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 795158.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 797158.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 798158.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 799158.5 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 800

159 Running CubeClip on f16 with epsilon 16 801159.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 801159.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 803159.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 804159.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 805159.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 806

160 Running BezClip on f16 with epsilon 32 807160.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 807160.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 808160.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 808160.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 809

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160.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 810160.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 810160.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 811

161 Running QuadClip on f16 with epsilon 32 812161.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 812161.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 814161.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 815161.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 817161.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 818161.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 819

162 Running CubeClip on f16 with epsilon 32 820162.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 820162.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 822162.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 823162.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 825162.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 827

163 Running BezClip on f16 with epsilon 64 828163.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 828163.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 829163.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 829163.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 830163.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 831163.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 831163.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 832

164 Running QuadClip on f16 with epsilon 64 833164.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 833164.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 835164.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 836164.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 838164.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 839164.6 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 840

165 Running CubeClip on f16 with epsilon 64 841165.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 841165.2 Recursion Branch 1 1 in Interval 1: [0.324143, 0.342913] . . . . . . . . . . . . . . . 843165.3 Recursion Branch 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . . 844165.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . . 846165.5 Result: 0 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 848

166 Running BezClip on f16 with epsilon 128 849166.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 849166.2 Recursion Branch 1 1 in Interval 1: [0.317999, 0.720989] . . . . . . . . . . . . . . . 850166.3 Recursion Branch 1 1 1 in Interval 1: [0.333081, 0.346096] . . . . . . . . . . . . . . 850166.4 Recursion Branch 1 1 1 1 in Interval 1: [0.333333, 0.333337] . . . . . . . . . . . . . 851166.5 Recursion Branch 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . . 852166.6 Recursion Branch 1 1 1 1 1 1 in Interval 1: [0.333333, 0.333333] . . . . . . . . . . . 852166.7 Result: 1 Root Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 853

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167 Running QuadClip on f16 with epsilon 128 854167.1 Recursion Branch 1 for Input Interval [0, 1] . . . . . . . . . . . . . . . . . . . . . . 854167.2 Recursion Branch 1 1 in Interval 1: [0.323946, 0.343615] . . . . . . . . . . . . . . . 85616