Herbie results

Average Percentage Accurate: 73.4% → 91.5%

Time: 25.9min

Bad Runs: 2/53

Speedup: 4.1×

Output vs Input Accuracy

Each point represents a Herbie run below. Its horizontal position shows initial accuracy, and vertical position shows final accuracy. Points above the line are improved by Herbie.

Accuracy vs Speed

A joint speed-accuracy pareto curve. Accuracy is on the vertical axis, speed is on the horizontal axis. Up and to the right is better. The initial program is shown by the red square.

Test	Start	Result ?	Target ?	Time
symmetry log of sum of exp	30.5%	73.7%		12.1s	»
raw-angle from scale-rotated-ellipse				2.5min	»
b parameter of renormalized beta distribution	99.9%	99.9%		20.6s	»
b from scale-rotated-ellipse				2.5min	»
ab-angle->ABCF D	82.4%	99.7%		7.3s	»
ab-angle->ABCF C	79.8%	79.7%		33.3s	»
ab-angle->ABCF B	54.8%	67.2%		31.1s	»
ab-angle->ABCF A	79.8%	78.9%		34.9s	»
a parameter of renormalized beta distribution	99.8%	99.8%		32.1s	»
a from scale-rotated-ellipse	2.7%	39.3%		2.4min	»
Trigonometry B	99.5%	99.5%		20.1s	»
Trigonometry A	99.8%	99.8%		12.4s	»
Spherical law of cosines	74.3%	93.8%		43.1s	»
Simplification of discriminant from scale-rotated-ellipse	25.5%	95.5%		1.7min	»
Quadratic roots, wide range				2.6s	»
Quadratic roots, narrow range				0.1s	»
Quadratic roots, medium range				1.5s	»
Quadratic roots, full range	51.6%	90.6%		19.1s	»
Midpoint on a great circle	98.5%	99.6%		27.5s	»
Logistic function from Lakshay Garg	54.5%	99.9%		20.1s	»
Hyperbolic tangent	5.0%	51.4%		6.5s	»
Hyperbolic sine	55.1%	99.5%		7.2s	»
Hyperbolic secant	100.0%	100.0%		4.2s	»
Hyperbolic arc-cosine	52.0%	99.6%		10.3s	»
Hyperbolic arc-(co)tangent	8.7%	99.6%		9.1s	»
Hyperbolic arc-(co)secant	99.9%	99.9%		10.5s	»
Example from Robby	99.8%	99.8%		31.9s	»
Example 2 from Robby	99.8%	99.8%		28.0s	»
Equirectangular approximation to distance on a great circle	59.5%	99.9%		24.2s	»
Eccentricity of an ellipse				2.5s	»
Distance on a great circle	62.7%	62.6%		2.2min	»
Destination given bearing on a great circle	99.8%	99.8%		28.8s	»
Cubic critical, wide range				2.4s	»
Cubic critical, narrow range				0.1s	»
Cubic critical, medium range				2.0s	»
Cubic critical	51.5%	86.8%		24.9s	»
Bearing on a great circle	79.1%	99.7%		47.8s	»
Asymptote C	53.6%	99.9%		9.3s	»
Asymptote B	100.0%	100.0%		3.9s	»
Asymptote A	77.1%	99.9%		7.4s	»
ABCF->ab-angle b	18.3%	43.5%		56.1s	»
ABCF->ab-angle angle	53.9%	81.5%		29.6s	»
ABCF->ab-angle a	19.0%	48.0%		55.4s	»
2-ancestry mixing, zero discriminant	76.7%	98.7%		23.7s	»
2-ancestry mixing, positive discriminant	43.2%	95.6%		54.9s	»
2-ancestry mixing, negative discriminant	98.5%	98.5%		19.5s	»
Quotient of sum of exps	68.9%	83.8%	100.0%	11.5s	»
Quotient of products	86.1%	97.3%	86.8%	7.2s	»
Logistic regression 2	79.2%	89.7%	99.9%	11.2s	»
Hyperbolic arcsine	18.2%	99.9%	30.6%	9.0s	»
Harley's example				8.3s	»
Exp of sum of logs	92.2%	100.0%	100.0%	8.2s	»
(- (/ x0 (- 1 x1)) x0)				0.0s	»

Test

Start

Result ?

Target ?

Time

symmetry log of sum of exp

30.5%

73.7%

12.1s

raw-angle from scale-rotated-ellipse

2.5min

b parameter of renormalized beta distribution

99.9%

20.6s

b from scale-rotated-ellipse

2.5min

ab-angle->ABCF D

82.4%

99.7%

7.3s

ab-angle->ABCF C

79.8%

79.7%

33.3s

ab-angle->ABCF B

54.8%

67.2%

31.1s

ab-angle->ABCF A

79.8%

78.9%

34.9s

a parameter of renormalized beta distribution

99.8%

32.1s

a from scale-rotated-ellipse

2.7%

39.3%

2.4min

Trigonometry B

99.5%

20.1s

Trigonometry A

99.8%

12.4s

Spherical law of cosines

74.3%

93.8%

43.1s

Simplification of discriminant from scale-rotated-ellipse

25.5%

95.5%

1.7min

Quadratic roots, wide range

2.6s

Quadratic roots, narrow range

0.1s

Quadratic roots, medium range

1.5s

Quadratic roots, full range

51.6%

90.6%

19.1s

Midpoint on a great circle

98.5%

99.6%

27.5s

Logistic function from Lakshay Garg

54.5%

99.9%

20.1s

Hyperbolic tangent

5.0%

51.4%

6.5s

Hyperbolic sine

55.1%

99.5%

7.2s

Hyperbolic secant

100.0%

4.2s

Hyperbolic arc-cosine

52.0%

99.6%

10.3s

Hyperbolic arc-(co)tangent

8.7%

99.6%

9.1s

Hyperbolic arc-(co)secant

99.9%

10.5s

Example from Robby

99.8%

31.9s

Example 2 from Robby

99.8%

28.0s

Equirectangular approximation to distance on a great circle

59.5%

99.9%

24.2s

Eccentricity of an ellipse

2.5s

Distance on a great circle

62.7%

62.6%

2.2min

Destination given bearing on a great circle

99.8%

28.8s

Cubic critical, wide range

2.4s

Cubic critical, narrow range

0.1s

Cubic critical, medium range

2.0s

Cubic critical

51.5%

86.8%

24.9s

Bearing on a great circle

79.1%

99.7%

47.8s

Asymptote C

53.6%

99.9%

9.3s

Asymptote B

100.0%

3.9s

Asymptote A

77.1%

99.9%

7.4s

ABCF->ab-angle b

18.3%

43.5%

56.1s

ABCF->ab-angle angle

53.9%

81.5%

29.6s

ABCF->ab-angle a

19.0%

48.0%

55.4s

2-ancestry mixing, zero discriminant

76.7%

98.7%

23.7s

2-ancestry mixing, positive discriminant

43.2%

95.6%

54.9s

2-ancestry mixing, negative discriminant

98.5%

19.5s

Quotient of sum of exps

68.9%

83.8%

100.0%

11.5s

Quotient of products

86.1%

97.3%

86.8%

7.2s

Logistic regression 2

79.2%

89.7%

99.9%

11.2s

Hyperbolic arcsine

18.2%

99.9%

30.6%

9.0s

Harley's example

8.3s

Exp of sum of logs

92.2%

100.0%

8.2s

(- (/ x0 (- 1 x1)) x0)

0.0s