Details

analyze319.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
1.0ms	22×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
11.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5099	356

prune49.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5.0))
0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 z (+.f64 x 5.0))
5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5.0)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5.0))
9.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4972	356
1	4972	356

prune48.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0b

Counts

47 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
2.9b	(cbrt.f64 (*.f64 x (+.f64 y z)))
2.9b	(cbrt.f64 (*.f64 x (+.f64 y z)))
2.9b	(cbrt.f64 (*.f64 x (+.f64 y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
30.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
32.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
29.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5119	779

prune79.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
45.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
49.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
46.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4926	1765
1	4926	1765

prune110.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0b

Counts

105 → 6

regimes252.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample450.0ms

Algorithm

intervals

Results

212.0ms	7697×	body	80	valid
18.0ms	699×	body	80	invalid
12.0ms	99×	body	1280	valid
10.0ms	104×	body	640	valid
5.0ms	71×	body	320	valid
1.0ms	29×	body	160	valid

Details

analyze319.0ms

sample17.0ms

simplify6.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series18.0ms

simplify47.0ms

prune49.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify66.0ms

prune48.0ms

localize11.0ms

rewrite22.0ms

series136.0ms

simplify43.0ms

prune79.0ms

localize11.0ms

rewrite41.0ms

series221.0ms

simplify88.0ms

prune110.0ms

regimes252.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample450.0ms

Profiling