Details

analyze453.0ms

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

sample26.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	70×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

prune8.0ms

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

localize9.0ms

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)))

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

series56.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5395	579

prune40.0ms

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

localize13.0ms

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)))

rewrite30.0ms

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)))

series93.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5001	916

prune48.0ms

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

localize16.0ms

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)))

rewrite30.0ms

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:

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

series161.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
40.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
55.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
57.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5543	940

prune55.0ms

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)))

rewrite43.0ms

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)))
20.0ms	(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)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
38.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
58.0ms	(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)))))
55.0ms	(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

prune56.0ms

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

regimes325.0ms

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

sample690.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
106.0ms	2287×	body	80	nan

Details

analyze453.0ms

sample26.0ms

simplify7.0ms

prune8.0ms

localize9.0ms

rewrite20.0ms

series56.0ms

simplify48.0ms

prune40.0ms

localize13.0ms

rewrite30.0ms

series93.0ms

simplify46.0ms

prune48.0ms

localize16.0ms

rewrite30.0ms

series161.0ms

simplify33.0ms

prune55.0ms

localize20.0ms

rewrite43.0ms

series191.0ms

simplify32.0ms

prune56.0ms

regimes325.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample690.0ms

Profiling