Details

analyze408.0ms

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

31.0ms	121×	body	320	valid
20.0ms	131×	body	160	valid
3.0ms	40×	body	80	nan
0.0ms	4×	body	80	valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

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: 33.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
7.7b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 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)))

rewrite36.0ms

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:

12.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
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)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
85.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 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)))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4979	1064
1	4979	1064

prune181.0ms

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: 29.7b

Counts

73 → 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 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(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:

5.0ms	(-.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)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(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 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify78.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4907	830
1	4907	830

prune165.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	66	20	86

Merged error: 29.2b

Counts

86 → 20

localize18.0ms

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
7.3b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(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:

5.0ms	(-.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)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
82.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify80.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4907	830
1	4907	830

prune160.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	69	21	90

Merged error: 29.2b

Counts

90 → 21

localize18.0ms

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (.f64 g g) (.f64 h h))
7.7b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 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)))

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:

5.0ms	(-.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))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
86.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 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)))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5217	847

prune94.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	69	22	91

Merged error: 29.1b

Counts

91 → 22

regimes877.0ms

Accuracy

55% (1.8b remaining)

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

bsearch117.0ms

Steps

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

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	118	92
1	118	92

end0.0ms

sample1.9s

Algorithm

intervals

Results

887.0ms	3753×	body	320	valid
646.0ms	4083×	body	160	valid
93.0ms	1185×	body	80	nan
14.0ms	164×	body	80	valid

Details

analyze408.0ms

sample66.0ms

simplify128.0ms

prune8.0ms

localize20.0ms

rewrite36.0ms

series183.0ms

simplify44.0ms

prune181.0ms

localize19.0ms

rewrite27.0ms

series106.0ms

simplify78.0ms

prune165.0ms

localize18.0ms

rewrite27.0ms

series106.0ms

simplify80.0ms

prune160.0ms

localize18.0ms

rewrite30.0ms

series110.0ms

simplify41.0ms

prune94.0ms

regimes877.0ms

bsearch117.0ms

simplify4.0ms

end0.0ms

sample1.9s

Profiling