Details

analyze661.0ms

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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample25.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	70×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 19.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.8b	(+.f64 (.f64 x y) (.f64 x z))
1.6b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
18.4b	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`+-commutative_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

3 → 40

Calls

3 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 x z))
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
6.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 x z))
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
36.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5395	579

prune67.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 19.4b

Counts

50 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
18.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
18.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
39.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
37.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	916

prune76.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 19.4b

Counts

75 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
18.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
3×	`sqrt-prod_binary64`
2×	`pow1/3_binary64` `associate-+l+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 54

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
37.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
57.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
54.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5543	940

prune86.0ms

Filtered

57 candidates to 66 candidates (-15.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	65	9	74

Merged error: 19.4b

Counts

74 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

18.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
18.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.0b	(cbrt.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z)))))
19.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
16.0ms	(cbrt.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z)))))
8.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
36.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
56.0ms	(cbrt.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 y z)))))
54.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5098	1299

prune73.0ms

Filtered

61 candidates to 72 candidates (-18.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	72	9	81

Merged error: 19.4b

Counts

81 → 9

regimes385.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 20.0b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample662.0ms

Algorithm

intervals

Results

356.0ms	8000×	body	80	valid
94.0ms	2287×	body	80	nan

Details

analyze661.0ms

sample25.0ms

simplify6.0ms

prune7.0ms

localize13.0ms

rewrite19.0ms

series51.0ms

simplify52.0ms

prune67.0ms

localize11.0ms

rewrite29.0ms

series91.0ms

simplify47.0ms

prune76.0ms

localize19.0ms

rewrite29.0ms

series155.0ms

simplify38.0ms

prune86.0ms

localize20.0ms

rewrite40.0ms

series185.0ms

simplify32.0ms

prune73.0ms

regimes385.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample662.0ms

Profiling