Details

analyze342.0ms (6.7%)

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample88.0ms (1.7%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
18.0ms	77×	body	1024	invalid
12.0ms	147×	body	128	valid
6.0ms	33×	body	512	valid
5.0ms	31×	body	512	invalid
5.0ms	84×	body	128	invalid
2.0ms	13×	body	256	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify209.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5282	18

prune5.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

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

rewrite19.0ms (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

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series170.0ms (3.3%)

Counts

2 → 16

Calls

2 calls:

147.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
23.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 349 to 295 computations (15.5% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4910	882
1	4910	882

prune51.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Error

Counts

52 → 2

Compiler

Compiled 815 to 332 computations (59.3% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_455`
9×	`add-exp-log_binary64_457`
8×	`pow1_binary64_480`
6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
5×	`add-log-exp_binary64_458`
4×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`pow-prod-down_binary64_490` `times-frac_binary64_425` `associate-r_binary64_359` `associate-/r*_binary64_363`
2×	`div-inv_binary64_416` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `-commutative_binary64_350` `associate-l_binary64_360` `frac-2neg_binary64_430` `flip-+_binary64_393` `+-commutative_binary64_349` `associate-/l_binary64_364`

Counts

3 → 51

Calls

6 calls:

8.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

series413.0ms (8%)

Counts

3 → 30

Calls

3 calls:

207.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
111.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
94.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

Compiler

Compiled 845 to 621 computations (26.5% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	1349
1	4959	1349

prune81.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

Counts

83 → 2

Compiler

Compiled 1503 to 727 computations (51.6% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.5b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
16×	`*-un-lft-identity_binary64_419`
14×	`sqrt-div_binary64_436` `associate-r_binary64_359`
10×	`associate-*r/_binary64_361`
9×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip-+_binary64_393`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `sqrt-prod_binary64_435`
4×	`frac-times_binary64_429` `distribute-lft-out_binary64_370`
2×	`associate-l/_binary64_362` `sum-log_binary64_510` `-commutative_binary64_350` `associate-l_binary64_360` `+-commutative_binary64_349`

Counts

4 → 81

Calls

8 calls:

19.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series396.0ms (7.7%)

Counts

4 → 32

Calls

4 calls:

200.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
147.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
25.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
24.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 1042 to 814 computations (21.9% saved)

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4953	2465
1	4953	2465

prune110.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 2702 to 900 computations (66.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	255
1	70	255

regimes89.0ms (1.7%)

Compiler: Compiled 608 to 480 computations (21.1% saved)

bsearch0.0ms (0%)

regimes68.0ms (1.3%)

Compiler: Compiled 102 to 131 computations (-28.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 3 computations (-50% saved)

regimes31.0ms (0.6%)

Compiler: Compiled 53 to 77 computations (-45.3% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.5%)

Compiler: Compiled 23 to 50 computations (-117.4% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.3%)

Accuracy

Total 0.0b remaining (31.2%)

Threshold costs 0.0b (31.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 64 to 52 computations (18.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	86
1	43	86

end0.0ms (0%)

sample2.7s (52.5%)

Algorithm

1×

intervals

Results

696.0ms	1946×	body	1024	valid
451.0ms	1885×	body	1024	invalid
281.0ms	4496×	body	128	valid
214.0ms	1065×	body	512	valid
163.0ms	968×	body	512	invalid
158.0ms	2460×	body	128	invalid
60.0ms	489×	body	256	valid
55.0ms	444×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 216 to 176 computations (18.5% saved)

Pareto

0.7423688633959797

Details

analyze342.0ms (6.7%)

sample88.0ms (1.7%)

simplify209.0ms (4.1%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite19.0ms (0.4%)

series170.0ms (3.3%)

simplify67.0ms (1.3%)

prune51.0ms (1%)

localize8.0ms (0.2%)

rewrite25.0ms (0.5%)

series413.0ms (8%)

simplify61.0ms (1.2%)

prune81.0ms (1.6%)

localize13.0ms (0.2%)

rewrite51.0ms (1%)

series396.0ms (7.7%)

simplify74.0ms (1.4%)

prune110.0ms (2.1%)

simplify6.0ms (0.1%)

regimes89.0ms (1.7%)

bsearch0.0ms (0%)

regimes68.0ms (1.3%)

bsearch1.0ms (0%)

regimes31.0ms (0.6%)

bsearch0.0ms (0%)

regimes27.0ms (0.5%)

bsearch0.0ms (0%)

regimes16.0ms (0.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (52.5%)

Profiling