Details

analyze432.0ms

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

sample68.0ms

Algorithm

intervals

Results

28.0ms	111×	body	320	valid
24.0ms	136×	body	160	valid
3.0ms	39×	body	80	nan
1.0ms	9×	body	80	valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4881	36
1	4881	36

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 35.8b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.6b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
12.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
77.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4969	1064
1	4969	1064

prune176.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	16	73

Merged error: 31.0b

Counts

73 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.6b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite27.0ms

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))
12.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 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)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (.f64 g g) (.f64 h h))
78.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5184	830

prune151.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	69	17	86

Merged error: 30.4b

Counts

86 → 17

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.6b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite30.0ms

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:

6.0ms	(-.f64 (.f64 g g) (.f64 h h))
13.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (.f64 g g) (.f64 h h))
77.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify65.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5184	830

prune145.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	70	17	87

Merged error: 30.4b

Counts

87 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
6.0b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
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

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 1.0 (.f64 2.0 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)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (.f64 g g) (.f64 h h))
78.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5220	847

prune90.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	68	19	87

Merged error: 30.4b

Counts

87 → 19

regimes749.0ms

Accuracy

81.1% (1.4b remaining)

Error of 31.7b against oracle of 30.3b and baseline of 37.6b

bsearch93.0ms

Steps

Iters	Range		Point
10	-1.0752574753399122e-201	-8.789100431094948e-219	-1.0526257207470665e-201

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	82
1	116	82

end0.0ms

sample1.9s

Algorithm

intervals

Results

923.0ms	3738×	body	320	valid
681.0ms	4108×	body	160	valid
100.0ms	1192×	body	80	nan
13.0ms	154×	body	80	valid

Details

analyze432.0ms

sample68.0ms

simplify126.0ms

prune8.0ms

localize17.0ms

rewrite38.0ms

series168.0ms

simplify44.0ms

prune176.0ms

localize21.0ms

rewrite27.0ms

series97.0ms

simplify64.0ms

prune151.0ms

localize19.0ms

rewrite30.0ms

series96.0ms

simplify65.0ms

prune145.0ms

localize22.0ms

rewrite28.0ms

series97.0ms

simplify40.0ms

prune90.0ms

regimes749.0ms

bsearch93.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling