Details

analyze340.0ms (8%)

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)

sample76.0ms (1.8%)

Algorithm

1×

intervals

Results

20.0ms	60×	body	1024	valid
14.0ms	65×	body	1024	invalid
10.0ms	142×	body	128	valid
6.0ms	36×	body	512	valid
5.0ms	33×	body	512	invalid
2.0ms	22×	body	256	invalid
2.0ms	18×	body	256	valid
2.0ms	31×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify217.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5290	18

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (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 (cos.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 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`add-sqr-sqrt_binary64_1123` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `pow-prod-down_binary64_1172`
2×	`distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075`
1×	`-commutative_binary64_1032` `sum-log_binary64_1192` `distribute-lft-in_binary64_1050` `+-commutative_binary64_1031` `associate-l*_binary64_1042` `distribute-rgt-in_binary64_1051`

Counts

2 → 35

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series178.0ms (4.2%)

Counts

2 → 18

Calls

2 calls:

152.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
23.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 404 to 334 computations (17.3% saved)

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune50.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	1	54

Error

0.0b

Counts

54 → 1

Compiler

Compiled 847 to 344 computations (59.4% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1137`
9×	`add-exp-log_binary64_1139`
8×	`pow1_binary64_1162`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`add-log-exp_binary64_1140`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
3×	`times-frac_binary64_1107` `associate-r_binary64_1041` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `flip3-+_binary64_1104` `associate-/l_binary64_1046` `+-commutative_binary64_1031` `flip-+_binary64_1075` `associate-l_binary64_1042`

Counts

3 → 51

Calls

6 calls:

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

series475.0ms (11.3%)

Counts

3 → 36

Calls

3 calls:

244.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
125.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
105.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

Compiler

Compiled 976 to 722 computations (26% saved)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4947	1618
1	4947	1618

prune78.0ms (1.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	1	88

Error

0.0b

Counts

88 → 1

Compiler

Compiled 1690 to 829 computations (50.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	73
1	36	73

regimes58.0ms (1.4%)

Compiler: Compiled 252 to 268 computations (-6.3% saved)

bsearch0.0ms (0%)

regimes48.0ms (1.1%)

Compiler: Compiled 156 to 182 computations (-16.7% saved)

bsearch0.0ms (0%)

regimes51.0ms (1.2%)

Compiler: Compiled 137 to 174 computations (-27% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

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

bsearch0.0ms (0%)

regimes17.0ms (0.4%)

Accuracy

Total 0.0b remaining (46.1%)

Threshold costs 0.0b (46.1%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 39 to 36 computations (7.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	61
1	34	61

end0.0ms (0%)

sample2.4s (55.9%)

Algorithm

1×

intervals

Results

710.0ms	2010×	body	1024	valid
421.0ms	1859×	body	1024	invalid
259.0ms	4495×	body	128	valid
184.0ms	1015×	body	512	valid
153.0ms	972×	body	512	invalid
54.0ms	490×	body	256	invalid
54.0ms	476×	body	256	valid
47.0ms	710×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 100 to 99 computations (1% saved)

Pareto

0.7307256587080145

Details

analyze340.0ms (8%)

sample76.0ms (1.8%)

simplify217.0ms (5.1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite22.0ms (0.5%)

series178.0ms (4.2%)

simplify93.0ms (2.2%)

prune50.0ms (1.2%)

localize8.0ms (0.2%)

rewrite24.0ms (0.6%)

series475.0ms (11.3%)

simplify80.0ms (1.9%)

prune78.0ms (1.9%)

simplify3.0ms (0.1%)

regimes58.0ms (1.4%)

bsearch0.0ms (0%)

regimes48.0ms (1.1%)

bsearch0.0ms (0%)

regimes51.0ms (1.2%)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

bsearch0.0ms (0%)

regimes17.0ms (0.4%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (55.9%)

Profiling