Details

analyze349.0ms (6.9%)

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample65.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	57×	body	1024	valid
13.0ms	64×	body	1024	invalid
8.0ms	148×	body	128	valid
5.0ms	31×	body	512	valid
4.0ms	23×	body	512	invalid
2.0ms	20×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify218.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5290	18

prune2.0ms (0%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_419` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359`
3×	`pow-prod-down_binary64_490` `add-cube-cbrt_binary64_454` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
2×	`flip3-+_binary64_422` `distribute-lft-out_binary64_370` `associate-*r/_binary64_361` `flip-+_binary64_393`
1×	`distribute-rgt-in_binary64_369` `sum-log_binary64_510` `distribute-lft-in_binary64_368` `-commutative_binary64_350` `associate-l*_binary64_360` `+-commutative_binary64_349`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series76.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune35.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

Compiler

Compiled 731 to 289 computations (60.5% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) 3)
0.0b	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
0.1b	(pow.f64 (exp.f64 im) -3)
5.3b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`exp-prod_binary64_471`
47×	`*-un-lft-identity_binary64_419`
35×	`add-sqr-sqrt_binary64_441`
33×	`add-cube-cbrt_binary64_454`
24×	`distribute-rgt-neg-in_binary64_377`
20×	`distribute-lft-neg-in_binary64_376`
15×	`pow-prod-down_binary64_490`
13×	`pow-sqr_binary64_392` `pow1_binary64_480` `pow-prod-up_binary64_489`
8×	`neg-mul-1_binary64_415` `pow-pow_binary64_491`
7×	`exp-neg_binary64_466` `add-cbrt-cube_binary64_455`
6×	`exp-diff_binary64_467` `unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `pow-unpow_binary64_496` `neg-sub0_binary64_414`
4×	`frac-times_binary64_429` `add-exp-log_binary64_457`
3×	`associate-r_binary64_359` `cube-prod_binary64_447` `swap-sqr_binary64_386` `associate-l_binary64_360`
2×	`associate-l/_binary64_362` `pow-exp_binary64_487` `sqr-pow_binary64_391` `associate-r/_binary64_361` `pow-to-exp_binary64_488`
1×	`distribute-rgt-out--_binary64_373` `sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `pow-plus_binary64_482` `*-commutative_binary64_350` `diff-log_binary64_511` `un-div-inv_binary64_417` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `pow2_binary64_500`

Counts

4 → 131

Calls

4 calls:

15.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
9.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	(pow.f64 (exp.f64 im) 3)
3.0ms	(pow.f64 (exp.f64 im) -3)

series116.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
37.0ms	(pow.f64 (exp.f64 im) -3)
25.0ms	(pow.f64 (exp.f64 im) 3)
16.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4893	1061
1	4893	1061

prune210.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	143	4	147

Merged error: 0b

Counts

147 → 4

Compiler

Compiled 5243 to 1871 computations (64.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0b	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_451`
16×	`add-exp-log_binary64_457` `pow1_binary64_480`
13×	`*-un-lft-identity_binary64_419`
12×	`cbrt-prod_binary64_450` `add-cbrt-cube_binary64_455`
10×	`associate-*r/_binary64_361`
9×	`flip3-+_binary64_422` `flip-+_binary64_393`
8×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
7×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`add-log-exp_binary64_458` `frac-times_binary64_429`
3×	`pow1/3_binary64_501` `distribute-lft-out_binary64_370`
2×	`associate-*l/_binary64_362`
1×	`associate-r_binary64_359` `-commutative_binary64_350` `associate-l*_binary64_360`

Counts

4 → 72

Calls

4 calls:

19.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
5.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series521.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
116.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
115.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
101.0ms	(cbrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify85.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4994	1806
1	4994	1806

prune95.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

Compiler

Compiled 2825 to 758 computations (73.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.1b	(exp.f64 (log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
3.9b	(log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64_480`
15×	`add-exp-log_binary64_457`
10×	`*-un-lft-identity_binary64_419`
9×	`pow-prod-down_binary64_490` `add-cbrt-cube_binary64_455`
6×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `prod-exp_binary64_468` `add-sqr-sqrt_binary64_441` `exp-prod_binary64_471` `associate-*r/_binary64_361` `log-pow_binary64_508`
4×	`flip3-+_binary64_422` `associate-r_binary64_359` `flip-+_binary64_393` `log-div_binary64_506`
3×	`rem-log-exp_binary64_460` `cbrt-unprod_binary64_452`
2×	`exp-diff_binary64_467` `log-prod_binary64_505` `distribute-lft-out_binary64_370`
1×	`distribute-rgt-in_binary64_369` `sum-log_binary64_510` `distribute-lft-in_binary64_368` `-commutative_binary64_350` `associate-l*_binary64_360` `exp-sum_binary64_465` `rem-exp-log_binary64_459` `+-commutative_binary64_349`

Counts

4 → 68

Calls

4 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(exp.f64 (log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
9.0ms	(log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series333.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
116.0ms	(exp.f64 (log.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
69.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5066	1490

prune78.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	80	4	84

Merged error: 0b

Counts

84 → 4

Compiler

Compiled 1437 to 624 computations (56.6% saved)

regimes112.0ms (2.2%)

Compiler: Compiled 1022 to 770 computations (24.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.3s (45.9%)

Algorithm

1×

intervals

Results

659.0ms	1947×	body	1024	valid
415.0ms	1966×	body	1024	invalid
259.0ms	4501×	body	128	valid
196.0ms	1053×	body	512	valid
157.0ms	976×	body	512	invalid
55.0ms	497×	body	256	valid
54.0ms	504×	body	256	invalid
46.0ms	650×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 185 to 142 computations (23.2% saved)

Details

analyze349.0ms (6.9%)

sample65.0ms (1.3%)

simplify218.0ms (4.3%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series76.0ms (1.5%)

simplify76.0ms (1.5%)

prune35.0ms (0.7%)

localize18.0ms (0.4%)

rewrite48.0ms (1%)

series116.0ms (2.3%)

simplify81.0ms (1.6%)

prune210.0ms (4.2%)

localize13.0ms (0.2%)

rewrite44.0ms (0.9%)

series521.0ms (10.3%)

simplify85.0ms (1.7%)

prune95.0ms (1.9%)

localize14.0ms (0.3%)

rewrite40.0ms (0.8%)

series333.0ms (6.6%)

simplify70.0ms (1.4%)

prune78.0ms (1.5%)

regimes112.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (45.9%)

Profiling