Details

analyze366.0ms (4.3%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample153.0ms (1.8%)

Algorithm

1×

intervals

Results

78.0ms	147×	body	1280	valid
20.0ms	65×	body	640	valid
19.0ms	59×	body	1280	invalid
9.0ms	39×	body	640	invalid
7.0ms	31×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	13×	body	160	invalid
1.0ms	11×	body	160	valid
1.0ms	13×	body	80	invalid
0.0ms	2×	body	80	valid

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5348	12

prune6.0ms (0.1%)

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: 57.5b

Counts

2 → 1

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
5.0b	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

13.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
8.0ms	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

series23.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5332	526

prune79.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
0.0b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 (pow.f64 im 3) -1/3)
0.2b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `prod-exp_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

13.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
8.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
6.0ms	(*.f64 1/60 (pow.f64 im 5))

series74.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
17.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5106	1159

prune189.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.1b

Counts

105 → 9

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

rewrite50.0ms (0.6%)

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:

14.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

series578.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
105.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
102.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
102.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4950	2709
1	4950	2709

prune375.0ms (4.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	80	13	93

Merged error: 0.0b

Counts

93 → 13

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64` `associate-*r/_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip-+_binary64` `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 → 74

Calls

4 calls:

12.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
8.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

series498.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

267.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
104.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
103.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
24.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5049	2738

prune386.0ms (4.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	85	14	99

Merged error: 0.0b

Counts

99 → 14

regimes424.0ms (5%)

Accuracy

Total 0.8b remaining (93.5%)

Threshold costs 0.8b (93.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms (0%)

sample4.8s (56.4%)

Algorithm

1×

intervals

Results

2.3s	4242×	body	1280	valid
753.0ms	2332×	body	640	valid
535.0ms	1542×	body	1280	invalid
261.0ms	1150×	body	640	invalid
247.0ms	510×	body	80	invalid
183.0ms	886×	body	320	valid
110.0ms	632×	body	320	invalid
55.0ms	402×	body	160	valid
35.0ms	313×	body	160	invalid
9.0ms	138×	body	80	valid

Details

analyze366.0ms (4.3%)

sample153.0ms (1.8%)

simplify78.0ms (0.9%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite22.0ms (0.3%)

series23.0ms (0.3%)

simplify68.0ms (0.8%)

prune79.0ms (0.9%)

localize15.0ms (0.2%)

rewrite36.0ms (0.4%)

series74.0ms (0.9%)

simplify39.0ms (0.5%)

prune189.0ms (2.2%)

localize20.0ms (0.2%)

rewrite50.0ms (0.6%)

series578.0ms (6.8%)

simplify85.0ms (1%)

prune375.0ms (4.4%)

localize24.0ms (0.3%)

rewrite45.0ms (0.5%)

series498.0ms (5.9%)

simplify62.0ms (0.7%)

prune386.0ms (4.5%)

regimes424.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.8s (56.4%)

Profiling