Details

analyze468.0ms

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

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	73×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 21.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+.f64 (.f64 x y) (.f64 x z))
1.4b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
19.9b	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

rewrite20.0ms

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:

5.0ms	(+.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)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (.f64 x y) (.f64 x z))
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
38.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5395	579

prune64.0ms

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: 21.0b

Counts

50 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
19.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite31.0ms

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))
8.0ms	(+.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)))

series94.0ms

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))
38.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
40.0ms	(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

prune70.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 21.0b

Counts

75 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

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))
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)))

series130.0ms

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))
59.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
55.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify30.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5180	868

prune82.0ms

Filtered

54 candidates to 64 candidates (-18.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	62	9	71

Merged error: 21.0b

Counts

71 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

19.9b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))))
20.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`sqrt-div_binary64`
24×	`pow1_binary64`
15×	`sqrt-pow1_binary64`
14×	`associate-*l/_binary64`
12×	`pow1/3_binary64`
9×	`pow-prod-up_binary64` `cbrt-prod_binary64`
8×	`associate-*r/_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-plus_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-sqr_binary64`
2×	`pow2_binary64`
1×	`pow1/2_binary64` `pow3_binary64` `sqrt-prod_binary64`

Counts

4 → 89

Calls

4 calls:

28.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.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)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))))
57.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
55.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
58.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5047	2853

prune77.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	101	9	110

Merged error: 21.0b

Counts

110 → 9

regimes398.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample685.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
100.0ms	2233×	body	80	nan

Details

analyze468.0ms

sample28.0ms

simplify6.0ms

prune7.0ms

localize9.0ms

rewrite20.0ms

series56.0ms

simplify47.0ms

prune64.0ms

localize11.0ms

rewrite31.0ms

series94.0ms

simplify47.0ms

prune70.0ms

localize15.0ms

rewrite31.0ms

series130.0ms

simplify30.0ms

prune82.0ms

localize13.0ms

rewrite53.0ms

series211.0ms

simplify44.0ms

prune77.0ms

regimes398.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample685.0ms

Profiling