Details

analyze421.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

sample66.0ms

Algorithm

intervals

Results

27.0ms	110×	body	320	valid
26.0ms	143×	body	160	valid
3.0ms	38×	body	80	nan
0.0ms	3×	body	80	valid

simplify269.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (260.0ms)

Iter	Nodes	Cost
0	4835	48
1	4835	48

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 30.8b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
6.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `flip3--_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`distribute-lft-out--_binary64` `div-inv_binary64` `associate-*l/_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
10.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
255.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify61.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	1648

prune151.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	58	15	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	60	15	75

Merged error: 26.6b

Counts

75 → 15

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
5.1b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 54

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
14.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (.f64 g g) (.f64 h h))
260.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
45.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
47.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify114.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4878	1094
1	4878	1094

prune145.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	63	18	81

Merged error: 25.7b

Counts

81 → 18

localize19.0ms

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
2.2b	(-.f64 (.f64 g g) (.f64 h h))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(-.f64 (.f64 g g) (.f64 h h))
23.0ms	(-.f64 (.f64 g g) (.f64 h h))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
33.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify66.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4925	948
1	4925	948

prune114.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	66	20	86

Merged error: 25.6b

Counts

86 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (.f64 g g) (.f64 h h))
5.1b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 54

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (.f64 g g) (.f64 h h))
236.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
32.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify112.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4878	1094
1	4878	1094

prune79.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	66	20	86

Merged error: 25.6b

Counts

86 → 20

regimes209.0ms

Accuracy

77.4% (0.9b remaining)

Error of 32.5b against oracle of 31.5b and baseline of 35.6b

bsearch104.0ms

Steps

Iters	Range		Point
11	1.5520772131538203e-178	2.6597116087712043e-145	1.0747171939524399e-156

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	77	117
1	77	117

end0.0ms

sample1.9s

Algorithm

intervals

Results

911.0ms	3727×	body	320	valid
670.0ms	4134×	body	160	valid
101.0ms	1210×	body	80	nan
12.0ms	139×	body	80	valid

Details

analyze421.0ms

sample66.0ms

simplify269.0ms

prune5.0ms

localize16.0ms

rewrite28.0ms

series546.0ms

simplify61.0ms

prune151.0ms

localize20.0ms

rewrite38.0ms

series374.0ms

simplify114.0ms

prune145.0ms

localize19.0ms

rewrite18.0ms

series108.0ms

simplify66.0ms

prune114.0ms

localize17.0ms

rewrite24.0ms

series321.0ms

simplify112.0ms

prune79.0ms

regimes209.0ms

bsearch104.0ms

simplify5.0ms

end0.0ms

sample1.9s

Profiling