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 horizontal 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	53.1%	99.0%		16.4s	»
raw-angle from scale-rotated-ellipse				2.5min	»
b parameter of renormalized beta distribution	58.4%	60.3%		8.5s	»
b from scale-rotated-ellipse				2.5min	»
ab-angle->ABCF D	53.8%	71.2%		6.5s	»
ab-angle->ABCF C	42.9%	42.9%		39.8s	»
ab-angle->ABCF B	33.7%	44.6%		41.5s	»
ab-angle->ABCF A	42.9%	42.9%		26.9s	»
a parameter of renormalized beta distribution	58.3%	60.7%		6.9s	»
a from scale-rotated-ellipse				2.5min	»
Trigonometry B	99.5%	99.5%		12.1s	»
Trigonometry A	99.8%	99.8%		9.4s	»
Spherical law of cosines	73.7%	94.1%		43.0s	»
Simplification of discriminant from scale-rotated-ellipse	24.0%	59.9%		1.6min	»
Quadratic roots, wide range	17.9%	97.6%		15.9s	»
Quadratic roots, narrow range	55.5%	92.0%		20.7s	»
Quadratic roots, medium range	31.8%	95.2%		23.0s	»
Quadratic roots, full range	42.1%	76.9%		15.8s	»
Midpoint on a great circle	98.5%	99.6%		25.9s	»
Logistic function from Lakshay Garg	54.4%	99.6%		10.3s	»
Hyperbolic tangent	9.1%	97.3%		9.6s	»
Hyperbolic sine	4.5%	51.7%		5.6s	»
Hyperbolic secant	100.0%	100.0%		2.6s	»
Hyperbolic arc-cosine	50.2%	100.0%		4.1s	»
Hyperbolic arc-(co)tangent	8.3%	100.0%		6.4s	»
Hyperbolic arc-(co)secant	100.0%	99.3%		5.4s	»
Example from Robby	99.8%	99.8%		23.4s	»
Example 2 from Robby	99.8%	99.8%		18.3s	»
Equirectangular approximation to distance on a great circle	26.2%	68.5%		26.0s	»
Eccentricity of an ellipse	77.3%	100.0%		5.0s	»
Distance on a great circle				2.5min	»
Destination given bearing on a great circle	99.8%	99.8%		35.1s	»
Cubic critical, wide range	17.8%	97.6%		20.5s	»
Cubic critical, narrow range	55.3%	92.2%		27.0s	»
Cubic critical, medium range	31.8%	95.2%		22.0s	»
Cubic critical	42.0%	76.9%		28.7s	»
Bearing on a great circle	79.3%	99.7%		45.6s	»
Asymptote C	53.4%	99.9%		11.8s	»
Asymptote B	100.0%	100.0%		3.8s	»
Asymptote A	77.3%	99.9%		6.8s	»
ABCF->ab-angle b	18.7%	45.0%		46.8s	»
ABCF->ab-angle angle	54.0%	81.1%		26.7s	»
ABCF->ab-angle a	17.5%	51.2%		1.2min	»
2-ancestry mixing, zero discriminant	76.0%	98.7%		7.3s	»
2-ancestry mixing, positive discriminant	43.3%	95.7%		22.8s	»
2-ancestry mixing, negative discriminant	98.5%	98.5%		4.0s	»
Quotient of sum of exps	99.1%	99.1%	100.0%	6.1s	»
Quotient of products	66.0%	75.5%	65.5%	30.0s	»
Logistic regression 2	86.9%	87.0%	87.5%	8.2s	»
Hyperbolic arcsine	16.7%	99.7%	29.8%	4.7s	»
Harley's example				2.5min	»
Exp of sum of logs	80.5%	88.4%	88.4%	1.7s	»
(- (/ x0 (- 1 x1)) x0)				0.0s	»

Test

Start

Result ?

Target ?

Time

symmetry log of sum of exp

53.1%

99.0%

16.4s

raw-angle from scale-rotated-ellipse

2.5min

b parameter of renormalized beta distribution

58.4%

60.3%

8.5s

b from scale-rotated-ellipse

2.5min

ab-angle->ABCF D

53.8%

71.2%

6.5s

ab-angle->ABCF C

42.9%

39.8s

ab-angle->ABCF B

33.7%

44.6%

41.5s

ab-angle->ABCF A

42.9%

26.9s

a parameter of renormalized beta distribution

58.3%

60.7%

6.9s

a from scale-rotated-ellipse

2.5min

Trigonometry B

99.5%

12.1s

Trigonometry A

99.8%

9.4s

Spherical law of cosines

73.7%

94.1%

43.0s

Simplification of discriminant from scale-rotated-ellipse

24.0%

59.9%

1.6min

Quadratic roots, wide range

17.9%

97.6%

15.9s

Quadratic roots, narrow range

55.5%

92.0%

20.7s

Quadratic roots, medium range

31.8%

95.2%

23.0s

Quadratic roots, full range

42.1%

76.9%

15.8s

Midpoint on a great circle

98.5%

99.6%

25.9s

Logistic function from Lakshay Garg

54.4%

99.6%

10.3s

Hyperbolic tangent

9.1%

97.3%

9.6s

Hyperbolic sine

4.5%

51.7%

5.6s

Hyperbolic secant

100.0%

2.6s

Hyperbolic arc-cosine

50.2%

100.0%

4.1s

Hyperbolic arc-(co)tangent

8.3%

100.0%

6.4s

Hyperbolic arc-(co)secant

100.0%

99.3%

5.4s

Example from Robby

99.8%

23.4s

Example 2 from Robby

99.8%

18.3s

Equirectangular approximation to distance on a great circle

26.2%

68.5%

26.0s

Eccentricity of an ellipse

77.3%

100.0%

5.0s

Distance on a great circle

2.5min

Destination given bearing on a great circle

99.8%

35.1s

Cubic critical, wide range

17.8%

97.6%

20.5s

Cubic critical, narrow range

55.3%

92.2%

27.0s

Cubic critical, medium range

31.8%

95.2%

22.0s

Cubic critical

42.0%

76.9%

28.7s

Bearing on a great circle

79.3%

99.7%

45.6s

Asymptote C

53.4%

99.9%

11.8s

Asymptote B

100.0%

3.8s

Asymptote A

77.3%

99.9%

6.8s

ABCF->ab-angle b

18.7%

45.0%

46.8s

ABCF->ab-angle angle

54.0%

81.1%

26.7s

ABCF->ab-angle a

17.5%

51.2%

1.2min

2-ancestry mixing, zero discriminant

76.0%

98.7%

7.3s

2-ancestry mixing, positive discriminant

43.3%

95.7%

22.8s

2-ancestry mixing, negative discriminant

98.5%

4.0s

Quotient of sum of exps

99.1%

100.0%

6.1s

Quotient of products

66.0%

75.5%

65.5%

30.0s

Logistic regression 2

86.9%

87.0%

87.5%

8.2s

Hyperbolic arcsine

16.7%

99.7%

29.8%

4.7s

Harley's example

2.5min

Exp of sum of logs

80.5%

88.4%

1.7s

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

0.0s