Details

analyze335.0ms (15.3%)

Algorithm

1×

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 (0.8%)

Algorithm

1×

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 (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune6.0ms (0.3%)

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 (0.3%)

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))

rewrite15.0ms (0.7%)

Algorithm

1×	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:

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

series20.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))
8.0ms	(*.f64 x (+.f64 y z))

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5099	356

prune61.0ms (2.8%)

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 (0.3%)

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)))

rewrite12.0ms (0.5%)

Algorithm

1×	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:

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

series16.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5.0)))
6.0ms	(*.f64 z (+.f64 x 5.0))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4972	356
1	4972	356

prune62.0ms (2.8%)

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

localize14.0ms (0.6%)

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)))

rewrite24.0ms (1.1%)

Algorithm

1×	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:

7.0ms	(.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)))

series139.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
33.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
31.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
30.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

simplify39.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5119	779

prune98.0ms (4.5%)

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 (0.5%)

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 (1.9%)

Algorithm

1×	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:

17.0ms	(.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))))
9.0ms	(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)))

series228.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(.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))))
50.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
48.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
48.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4926	1765
1	4926	1765

prune143.0ms (6.5%)

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

regimes263.0ms (12%)

Accuracy

Total 0.0b remaining (61.6%)

Threshold costs 0.0b (61.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample441.0ms (20.1%)

Algorithm

1×

intervals

Results

215.0ms	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
4.0ms	29×	body	160	valid

Details

analyze335.0ms (15.3%)

sample17.0ms (0.8%)

simplify6.0ms (0.3%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite15.0ms (0.7%)

series20.0ms (0.9%)

simplify43.0ms (2%)

prune61.0ms (2.8%)

localize6.0ms (0.3%)

rewrite12.0ms (0.5%)

series16.0ms (0.7%)

simplify63.0ms (2.9%)

prune62.0ms (2.8%)

localize14.0ms (0.6%)

rewrite24.0ms (1.1%)

series139.0ms (6.3%)

simplify39.0ms (1.8%)

prune98.0ms (4.5%)

localize11.0ms (0.5%)

rewrite41.0ms (1.9%)

series228.0ms (10.4%)

simplify82.0ms (3.7%)

prune143.0ms (6.5%)

regimes263.0ms (12%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample441.0ms (20.1%)

Profiling