Details

analyze420.0ms

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

27.0ms	116×	body	320	valid
23.0ms	133×	body	160	valid
3.0ms	43×	body	80	nan
1.0ms	7×	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: 35.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
8.1b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite37.0ms

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:

14.0ms	(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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
81.0ms	(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)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify47.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4979	1064
1	4979	1064

prune183.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	17	73

Merged error: 29.4b

Counts

73 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
7.1b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite26.0ms

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)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.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)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify79.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4907	830
1	4907	830

prune150.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	70	17	87

Merged error: 28.8b

Counts

87 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
7.1b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(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)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (.f64 g g) (.f64 h h))
75.0ms	(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)))
10.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify79.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4907	830
1	4907	830

prune141.0ms

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: 28.8b

Counts

87 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
8.1b	(cbrt.f64 (.f64 (/.f64 1.0 (.f64 2.0 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(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)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (.f64 g g) (.f64 h h))
80.0ms	(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)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5217	847

prune89.0ms

Filtered

59 candidates to 70 candidates (-18.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	69	18	87

Merged error: 28.8b

Counts

87 → 18

regimes629.0ms

Accuracy

63.7% (1.3b remaining)

Error of 32.1b against oracle of 30.8b and baseline of 34.3b

bsearch50.0ms

Steps

Iters	Range		Point
5	-1.1746789576965113e-189	-4.911816270455327e-190	-1.1576464449940226e-189

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	82
1	129	82

end0.0ms

sample1.9s

Algorithm

intervals

Results

892.0ms	3722×	body	320	valid
656.0ms	4113×	body	160	valid
99.0ms	1273×	body	80	nan
15.0ms	165×	body	80	valid

Details

analyze420.0ms

sample66.0ms

simplify128.0ms

prune8.0ms

localize17.0ms

rewrite37.0ms

series175.0ms

simplify47.0ms

prune183.0ms

localize22.0ms

rewrite26.0ms

series102.0ms

simplify79.0ms

prune150.0ms

localize18.0ms

rewrite27.0ms

series102.0ms

simplify79.0ms

prune141.0ms

localize22.0ms

rewrite28.0ms

series104.0ms

simplify42.0ms

prune89.0ms

regimes629.0ms

bsearch50.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling