Details

analyze417.0ms

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

sample65.0ms

Algorithm

intervals

Results

31.0ms	125×	body	320	valid
20.0ms	125×	body	160	valid
3.0ms	33×	body	80	nan
1.0ms	6×	body	80	valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4925	31
1	4925	31

prune11.0ms

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: 34.5b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(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:

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

series140.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
64.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
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

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4911	1064
1	4911	1064

prune168.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	57	16	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	58	17	75

Merged error: 30.6b

Counts

75 → 17

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite23.0ms

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))
4.0ms	(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)))

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	716
1	4972	716

prune139.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	64	19	83

Merged error: 29.7b

Counts

83 → 19

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite23.0ms

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))
4.0ms	(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))
61.0ms	(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)))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	716
1	4972	716

prune139.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	65	20	85

Merged error: 29.7b

Counts

85 → 20

localize18.0ms

Local error

Found 4 expressions with local error:

3.2b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`sqrt-prod_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `distribute-lft-out_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` `div-inv_binary64`

Counts

4 → 69

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
7.0ms	(cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
53.0ms	(cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) a))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4895	1098
1	4895	1098

prune103.0ms

Filtered

66 candidates to 81 candidates (-22.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	79	22	101

Merged error: 29.7b

Counts

101 → 22

regimes456.0ms

Accuracy

0% (1.5b remaining)

Error of 31.7b against oracle of 30.2b and baseline of 31.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	34
1	51	34

end0.0ms

sample1.9s

Algorithm

intervals

Results

890.0ms	3765×	body	320	valid
651.0ms	4087×	body	160	valid
92.0ms	1149×	body	80	nan
13.0ms	148×	body	80	valid

Details

analyze417.0ms

sample65.0ms

simplify187.0ms

prune11.0ms

localize19.0ms

rewrite28.0ms

series140.0ms

simplify50.0ms

prune168.0ms

localize17.0ms

rewrite23.0ms

series84.0ms

simplify48.0ms

prune139.0ms

localize17.0ms

rewrite23.0ms

series83.0ms

simplify47.0ms

prune139.0ms

localize18.0ms

rewrite23.0ms

series75.0ms

simplify53.0ms

prune103.0ms

regimes456.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling