Details

analyze448.0ms

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

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	80×	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

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: 17.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
16.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `sqrt-prod_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

6.0ms	(*.f64 x (+.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)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
37.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	617

prune51.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	9	61

Merged error: 16.8b

Counts

61 → 9

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))
16.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
16.1b	(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:

7.0ms	(+.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

prune50.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	69	8	77

Merged error: 16.8b

Counts

77 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(cbrt.f64 (+.f64 y z))
1.4b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
16.1b	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_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×	`distribute-lft-out_binary64` `pow1/3_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 y z))
25.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
21.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (+.f64 y z))
32.0ms	(cbrt.f64 (+.f64 y z))
14.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
44.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5065	736

prune54.0ms

Filtered

53 candidates to 66 candidates (-24.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	65	9	74

Merged error: 16.8b

Counts

74 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
16.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
16.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
16.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite32.0ms

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:

10.0ms	(+.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)))

series153.0ms

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)))
55.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
53.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5543	940

prune41.0ms

Filtered

57 candidates to 66 candidates (-15.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	64	11	75

Merged error: 16.8b

Counts

75 → 11

regimes160.0ms

Accuracy

0% (0.2b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample675.0ms

Algorithm

intervals

Results

356.0ms	8000×	body	80	valid
101.0ms	2316×	body	80	nan

Details

analyze448.0ms

sample24.0ms

simplify6.0ms

prune8.0ms

localize8.0ms

rewrite22.0ms

series52.0ms

simplify52.0ms

prune51.0ms

localize11.0ms

rewrite30.0ms

series91.0ms

simplify47.0ms

prune50.0ms

localize12.0ms

rewrite53.0ms

series119.0ms

simplify38.0ms

prune54.0ms

localize16.0ms

rewrite32.0ms

series153.0ms

simplify34.0ms

prune41.0ms

regimes160.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample675.0ms

Profiling