Herbie results

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 Cost

A joint cost-accuracy pareto curve for the Herbie runs below. Accuracy is on the vertical axis, and cost is on the vertical axis. Down and to the left is better. The initial programs are shown by the red square.

Test	Start	Result ?	Target ?	Time
symmetry log of sum of exp	46.65%	0.85%		17.6s	»
raw-angle from scale-rotated-ellipse				2.5min	»
b parameter of renormalized beta distribution	0.11%	0.3%		7.6s	»
b from scale-rotated-ellipse	99.92%	57.79%		2.3min	»
ab-angle->ABCF D	25.38%	0.48%		4.0s	»
ab-angle->ABCF C	31.97%	31.97%		20.6s	»
ab-angle->ABCF B	49.69%	33.78%		21.5s	»
ab-angle->ABCF A	32.09%	32.08%		18.0s	»
a parameter of renormalized beta distribution	0.27%	0.45%		6.6s	»
a from scale-rotated-ellipse	99.24%	77.04%		1.8min	»
Trigonometry B	0.5%	0.49%		11.5s	»
Trigonometry A	0.21%	0.21%		9.7s	»
Spherical law of cosines	26.13%	6.12%		48.4s	»
Simplification of discriminant from scale-rotated-ellipse	63.85%	9.02%		1.2min	»
Quadratic roots, wide range	81.79%	0.61%		15.6s	»
Quadratic roots, narrow range	45.17%	1.4%		21.7s	»
Quadratic roots, medium range	67.97%	3.9%		16.6s	»
Quadratic roots, full range	53.88%	16.46%		15.2s	»
Midpoint on a great circle	1.46%	0.34%		24.7s	»
Logistic function from Lakshay Garg	45.92%	1.19%		8.5s	»
Hyperbolic tangent	91.08%	0.02%		5.9s	»
Hyperbolic sine	90.67%	0.01%		4.6s	»
Hyperbolic secant	0.02%	0.02%		2.4s	»
Hyperbolic arc-cosine	49.78%	0.62%		4.3s	»
Hyperbolic arc-(co)tangent	91.39%	0.01%		6.1s	»
Hyperbolic arc-(co)secant	0.03%	0.03%		2.2s	»
Example from Robby	0.2%	0.2%		19.7s	»
Example 2 from Robby	0.21%	0.21%		16.7s	»
Equirectangular approximation to distance on a great circle	59.84%	5.34%		18.7s	»
Eccentricity of an ellipse	22.72%	0%		4.9s	»
Distance on a great circle	37.96%	21.57%		1.5min	»
Destination given bearing on a great circle	0.24%	0.24%		28.1s	»
Cubic critical, wide range	81.79%	0.14%		18.7s	»
Cubic critical, narrow range	45.34%	2.39%		28.9s	»
Cubic critical, medium range	68.1%	0.62%		18.0s	»
Cubic critical	53.94%	16.61%		22.7s	»
Bearing on a great circle	20.14%	0.29%		53.5s	»
Asymptote C	45.55%	0.04%		13.5s	»
Asymptote B	0.02%	0.02%		1.4s	»
Asymptote A	22.94%	0.12%		5.2s	»
ABCF->ab-angle b	81.97%	72.14%		1.0min	»
ABCF->ab-angle angle	46.01%	17.47%		22.1s	»
ABCF->ab-angle a	81.25%	60.59%		52.0s	»
2-ancestry mixing, zero discriminant	24.11%	1.33%		6.5s	»
2-ancestry mixing, positive discriminant	57.09%	1.87%		14.6s	»
2-ancestry mixing, negative discriminant	1.55%	1.55%		2.9s	»
Quotient of sum of exps	1.16%	1.16%	0.02%	4.6s	»
Quotient of products	17.53%	5.49%	17.24%	4.8s	»
Logistic regression 2	0.73%	0.66%	0.09%	12.0s	»
Hyperbolic arcsine	83.22%	0.05%	70.74%	9.6s	»
Harley's example				2.5min	»
Exp of sum of logs	8.87%	0%	0%	1.4s	»
(- (/ x0 (- 1 x1)) x0)				0.0s	»

Test

Start

Result ?

Target ?

Time

symmetry log of sum of exp

46.65%

0.85%

17.6s

raw-angle from scale-rotated-ellipse

2.5min

b parameter of renormalized beta distribution

0.11%

0.3%

7.6s

b from scale-rotated-ellipse

99.92%

57.79%

2.3min

ab-angle->ABCF D

25.38%

0.48%

4.0s

ab-angle->ABCF C

31.97%

20.6s

ab-angle->ABCF B

49.69%

33.78%

21.5s

ab-angle->ABCF A

32.09%

32.08%

18.0s

a parameter of renormalized beta distribution

0.27%

0.45%

6.6s

a from scale-rotated-ellipse

99.24%

77.04%

1.8min

Trigonometry B

0.5%

0.49%

11.5s

Trigonometry A

0.21%

9.7s

Spherical law of cosines

26.13%

6.12%

48.4s

Simplification of discriminant from scale-rotated-ellipse

63.85%

9.02%

1.2min

Quadratic roots, wide range

81.79%

0.61%

15.6s

Quadratic roots, narrow range

45.17%

1.4%

21.7s

Quadratic roots, medium range

67.97%

3.9%

16.6s

Quadratic roots, full range

53.88%

16.46%

15.2s

Midpoint on a great circle

1.46%

0.34%

24.7s

Logistic function from Lakshay Garg

45.92%

1.19%

8.5s

Hyperbolic tangent

91.08%

0.02%

5.9s

Hyperbolic sine

90.67%

0.01%

4.6s

Hyperbolic secant

0.02%

2.4s

Hyperbolic arc-cosine

49.78%

0.62%

4.3s

Hyperbolic arc-(co)tangent

91.39%

0.01%

6.1s

Hyperbolic arc-(co)secant

0.03%

2.2s

Example from Robby

0.2%

19.7s

Example 2 from Robby

0.21%

16.7s

Equirectangular approximation to distance on a great circle

59.84%

5.34%

18.7s

Eccentricity of an ellipse

22.72%

4.9s

Distance on a great circle

37.96%

21.57%

1.5min

Destination given bearing on a great circle

0.24%

28.1s

Cubic critical, wide range

81.79%

0.14%

18.7s

Cubic critical, narrow range

45.34%

2.39%

28.9s

Cubic critical, medium range

68.1%

0.62%

18.0s

Cubic critical

53.94%

16.61%

22.7s

Bearing on a great circle

20.14%

0.29%

53.5s

Asymptote C

45.55%

0.04%

13.5s

Asymptote B

0.02%

1.4s

Asymptote A

22.94%

0.12%

5.2s

ABCF->ab-angle b

81.97%

72.14%

1.0min

ABCF->ab-angle angle

46.01%

17.47%

22.1s

ABCF->ab-angle a

81.25%

60.59%

52.0s

2-ancestry mixing, zero discriminant

24.11%

1.33%

6.5s

2-ancestry mixing, positive discriminant

57.09%

1.87%

14.6s

2-ancestry mixing, negative discriminant

1.55%

2.9s

Quotient of sum of exps

1.16%

0.02%

4.6s

Quotient of products

17.53%

5.49%

17.24%

4.8s

Logistic regression 2

0.73%

0.66%

0.09%

12.0s

Hyperbolic arcsine

83.22%

0.05%

70.74%

9.6s

Harley's example

2.5min

Exp of sum of logs

8.87%

1.4s

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

0.0s