Details

analyze449.0ms

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	78×	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

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: 21.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite21.0ms

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))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
42.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	617

prune73.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 21.5b

Counts

61 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
21.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms

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:

7.0ms	(+.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)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
60.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
63.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5180	868

prune87.0ms

Filtered

54 candidates to 64 candidates (-18.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	62	9	71

Merged error: 21.5b

Counts

71 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

20.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.0b	(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)))))
21.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite42.0ms

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)))
19.0ms	(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)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
39.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
62.0ms	(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)))))
60.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5098	1299

prune87.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 21.5b

Counts

81 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.0b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
3×	`cbrt-prod_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `associate-+l+_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_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	(sqrt.f64 (+.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)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
41.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
40.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
62.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify34.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5543	964

prune63.0ms

Filtered

57 candidates to 68 candidates (-19.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	68	9	77

Merged error: 21.5b

Counts

77 → 9

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample646.0ms

Algorithm

intervals

Results

347.0ms	8000×	body	80	valid
99.0ms	2311×	body	80	nan

Details

analyze449.0ms

sample24.0ms

simplify6.0ms

prune8.0ms

localize8.0ms

rewrite21.0ms

series58.0ms

simplify50.0ms

prune73.0ms

localize14.0ms

rewrite29.0ms

series140.0ms

simplify32.0ms

prune87.0ms

localize15.0ms

rewrite42.0ms

series204.0ms

simplify33.0ms

prune87.0ms

localize16.0ms

rewrite29.0ms

series150.0ms

simplify34.0ms

prune63.0ms

regimes188.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample646.0ms

Profiling