Details

analyze426.0ms

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

30.0ms	125×	body	320	valid
22.0ms	125×	body	160	valid
3.0ms	34×	body	80	nan
0.0ms	6×	body	80	valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4925	31
1	4925	31

prune10.0ms

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: 34.7b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms

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:

9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
60.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify49.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4911	1064
1	4911	1064

prune132.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	55	18	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	18	75

Merged error: 30.6b

Counts

75 → 18

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.6b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
5×	`difference-of-squares_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_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` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 63

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
58.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4895	972
1	4895	972

prune116.0ms

Filtered

62 candidates to 75 candidates (-21.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	73	20	93

Merged error: 29.2b

Counts

93 → 20

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.9b	(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:

5.0ms	(-.f64 (.f64 g g) (.f64 h h))
9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
62.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	716
1	4972	716

prune104.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	67	19	86

Merged error: 29.2b

Counts

86 → 19

localize19.0ms

Local error

Found 4 expressions with local error:

3.8b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.9b	(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:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
59.0ms	(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)))
10.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify54.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	716
1	4972	716

prune51.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	66	19	85

Merged error: 29.2b

Counts

85 → 19

regimes383.0ms

Accuracy

74.4% (1.0b remaining)

Error of 31.7b against oracle of 30.7b and baseline of 34.7b

bsearch83.0ms

Steps

Iters	Range		Point
11	9.947853340425586e-175	1.3802207877090215e-149	4.637265161334064e-159

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	73
1	77	73

end0.0ms

sample1.9s

Algorithm

intervals

Results

929.0ms	3766×	body	320	valid
667.0ms	4079×	body	160	valid
102.0ms	1207×	body	80	nan
13.0ms	155×	body	80	valid

Details

analyze426.0ms

sample66.0ms

simplify186.0ms

prune10.0ms

localize18.0ms

rewrite31.0ms

series135.0ms

simplify49.0ms

prune132.0ms

localize19.0ms

rewrite24.0ms

series82.0ms

simplify53.0ms

prune116.0ms

localize19.0ms

rewrite24.0ms

series84.0ms

simplify50.0ms

prune104.0ms

localize19.0ms

rewrite24.0ms

series83.0ms

simplify54.0ms

prune51.0ms

regimes383.0ms

bsearch83.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling