Details

analyze431.0ms

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

sample69.0ms

Algorithm

intervals

Results

32.0ms	121×	body	320	valid
22.0ms	131×	body	160	valid
3.0ms	40×	body	80	nan
0.0ms	4×	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: 33.8b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-times_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `flip-+_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
16.0ms	(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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
85.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5363	992

prune186.0ms

Filtered

66 candidates to 72 candidates (-9.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	16	74

Merged error: 29.7b

Counts

74 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms

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`
5×	`cbrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
13.0ms	(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)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
79.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	806
1	4943	806

prune167.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	5	10	15
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:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms

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`
5×	`cbrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
13.0ms	(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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
81.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	806
1	4943	806

prune154.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	69	20	89

Merged error: 29.2b

Counts

89 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
7.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms

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`
5×	`cbrt-div_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`difference-of-squares_binary64`
2×	`pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(-.f64 (.f64 g g) (.f64 h h))
13.0ms	(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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
82.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5276	819

prune96.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 29.1b

Counts

90 → 22

regimes746.0ms

Accuracy

54.9% (1.8b remaining)

Error of 31.8b against oracle of 30.0b and baseline of 33.9b

bsearch126.0ms

Steps

Iters	Range		Point
11	4.579166007001339e-231	4.929454837887481e-204	4.6356318692096136e-231

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	150	87
1	150	87

end0.0ms

sample2.0s

Algorithm

intervals

Results

940.0ms	3753×	body	320	valid
683.0ms	4083×	body	160	valid
98.0ms	1185×	body	80	nan
15.0ms	164×	body	80	valid

Details

analyze431.0ms

sample69.0ms

simplify186.0ms

prune10.0ms

localize17.0ms

rewrite39.0ms

series181.0ms

simplify43.0ms

prune186.0ms

localize19.0ms

rewrite28.0ms

series104.0ms

simplify62.0ms

prune167.0ms

localize19.0ms

rewrite28.0ms

series105.0ms

simplify62.0ms

prune154.0ms

localize21.0ms

rewrite28.0ms

series106.0ms

simplify42.0ms

prune96.0ms

regimes746.0ms

bsearch126.0ms

simplify4.0ms

end0.0ms

sample2.0s

Profiling