Details

analyze459.0ms

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

sample81.0ms

Algorithm

intervals

Results

35.0ms	136×	body	320	valid
24.0ms	115×	body	160	valid
4.0ms	45×	body	80	nan
0.0ms	5×	body	80	valid

simplify263.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (254.0ms)

Iter	Nodes	Cost
0	4965	48
1	4965	48

prune20.0ms

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: 33.7b

Counts

2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div_binary64_542`
8×	`add-sqr-sqrt_binary64_559` `sqrt-prod_binary64_553`
6×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520`
4×	`frac-times_binary64_566` `flip3--_binary64_573` `add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `flip--_binary64_600` `add-exp-log_binary64_538` `add-log-exp_binary64_539` `associate-*r/_binary64_635`
2×	`rem-sqrt-square_binary64_562` `pow1/3_binary64_512` `cbrt-prod_binary64_541` `sqrt-pow1_binary64_555` `flip3-+_binary64_572` `flip-+_binary64_599` `pow1/2_binary64_510` `associate-*l/_binary64_636` `difference-of-squares_binary64_603`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
288.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
33.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify71.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5139	1577

prune412.0ms

Filtered

66 candidates to 72 candidates (-9.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	18	74

Merged error: 29.7b

Counts

74 → 18

localize38.0ms

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_559` `sqrt-prod_binary64_553`
6×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-log-exp_binary64_539`
5×	`cbrt-div_binary64_542`
4×	`add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `add-exp-log_binary64_538`
3×	`flip3--_binary64_573` `flip--_binary64_600` `difference-of-squares_binary64_603`
2×	`frac-times_binary64_566` `rem-sqrt-square_binary64_562` `sqrt-pow1_binary64_555` `flip3-+_binary64_572` `flip-+_binary64_599` `pow1/2_binary64_510` `associate-*r/_binary64_635`
1×	`pow1/3_binary64_512` `cbrt-prod_binary64_541` `diff-log_binary64_490` `sub-neg_binary64_578` `associate-*l/_binary64_636`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(-.f64 (.f64 g g) (.f64 h h))
276.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
32.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
34.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5227	1259

prune392.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	67	21	88

Merged error: 29.4b

Counts

88 → 21

localize31.0ms

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_559` `sqrt-prod_binary64_553`
6×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-log-exp_binary64_539`
5×	`cbrt-div_binary64_542`
4×	`add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `add-exp-log_binary64_538`
3×	`flip3--_binary64_573` `flip--_binary64_600` `difference-of-squares_binary64_603`
2×	`frac-times_binary64_566` `rem-sqrt-square_binary64_562` `sqrt-pow1_binary64_555` `flip3-+_binary64_572` `flip-+_binary64_599` `pow1/2_binary64_510` `associate-*r/_binary64_635`
1×	`pow1/3_binary64_512` `cbrt-prod_binary64_541` `diff-log_binary64_490` `sub-neg_binary64_578` `associate-*l/_binary64_636`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
10.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (.f64 g g) (.f64 h h))
285.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify69.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5227	1259

prune391.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	69	22	91

Merged error: 29.4b

Counts

91 → 22

localize33.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))) 3))
8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod_binary64_541`
15×	`cbrt-div_binary64_542`
11×	`add-sqr-sqrt_binary64_559`
9×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
8×	`sqrt-prod_binary64_553`
6×	`flip3--_binary64_573` `pow1_binary64_520` `flip--_binary64_600`
5×	`cube-div_binary64_548`
4×	`frac-times_binary64_566` `add-cbrt-cube_binary64_546` `sqrt-div_binary64_554` `unpow-prod-down_binary64_509` `cube-prod_binary64_547` `add-exp-log_binary64_538` `add-log-exp_binary64_539` `associate-*r/_binary64_635`
2×	`rem-sqrt-square_binary64_562` `pow1/3_binary64_512` `sqrt-pow1_binary64_555` `pow1/2_binary64_510` `associate-*l/_binary64_636` `difference-of-squares_binary64_603`
1×	`sqr-pow_binary64_606` `rem-cbrt-cube_binary64_551` `unpow3_binary64_518` `cube-mult_binary64_549`

Counts

4 → 74

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))) 3))
15.0ms	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))) 3))
290.0ms	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
33.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify73.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5226	2132

prune296.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	4	17	21
Picked	0	1	1
Done	0	0	0
Total	87	21	108

Merged error: 29.4b

Counts

108 → 21

regimes1.4s

Accuracy

0% (1.6b remaining)

Error of 31.7b against oracle of 30.0b and baseline of 31.7b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	54
1	66	54

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	3812×	body	320	valid
715.0ms	4054×	body	160	valid
106.0ms	1194×	body	80	nan
12.0ms	134×	body	80	valid

Details

analyze459.0ms

sample81.0ms

simplify263.0ms

prune20.0ms

localize33.0ms

rewrite39.0ms

series630.0ms

simplify71.0ms

prune412.0ms

localize38.0ms

rewrite31.0ms

series366.0ms

simplify67.0ms

prune392.0ms

localize31.0ms

rewrite35.0ms

series371.0ms

simplify69.0ms

prune391.0ms

localize33.0ms

rewrite31.0ms

series646.0ms

simplify73.0ms

prune296.0ms

regimes1.4s

bsearch0.0ms

simplify5.0ms

end0.0ms

sample2.1s

Profiling