Details

analyze340.0ms (7.7%)

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
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)

sample75.0ms (1.7%)

Algorithm

1×

intervals

Results

26.0ms	65×	body	1024	valid
14.0ms	66×	body	1024	invalid
8.0ms	148×	body	128	valid
5.0ms	29×	body	512	valid
4.0ms	25×	body	512	invalid
2.0ms	17×	body	256	invalid
2.0ms	14×	body	256	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify218.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5290	18

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

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 (.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 (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)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108` `pow1_binary64_1131` `*-un-lft-identity_binary64_1070`
4×	`associate-r_binary64_1010` `add-log-exp_binary64_1109`
3×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119` `add-sqr-sqrt_binary64_1092` `pow-prod-down_binary64_1141` `add-cube-cbrt_binary64_1105`
2×	`flip-+_binary64_1044` `distribute-lft-out_binary64_1021` `associate-*r/_binary64_1012` `flip3-+_binary64_1073`
1×	`-commutative_binary64_1001` `associate-l*_binary64_1011` `+-commutative_binary64_1000` `distribute-rgt-in_binary64_1020` `sum-log_binary64_1161` `distribute-lft-in_binary64_1019`

Counts

2 → 35

Calls

4 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))
0.0ms	(+.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)))

series187.0ms (4.2%)

Counts

2 → 18

Calls

2 calls:

164.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
22.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 404 to 334 computations (17.3% saved)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune52.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	2	54

Error

Counts

54 → 2

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))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1106`
9×	`add-exp-log_binary64_1108`
8×	`pow1_binary64_1131`
6×	`add-sqr-sqrt_binary64_1092` `*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
5×	`add-log-exp_binary64_1109`
4×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119`
3×	`associate-r_binary64_1010` `associate-/r*_binary64_1014` `pow-prod-down_binary64_1141` `times-frac_binary64_1076`
2×	`cbrt-undiv_binary64_1104` `div-exp_binary64_1121` `div-inv_binary64_1067`
1×	`frac-2neg_binary64_1081` `-commutative_binary64_1001` `flip-+_binary64_1044` `associate-l_binary64_1011` `distribute-lft-out_binary64_1021` `clear-num_binary64_1069` `+-commutative_binary64_1000` `flip3-+_binary64_1073` `associate-/l_binary64_1015` `sum-log_binary64_1161`

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)))
7.0ms	(.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))

series464.0ms (10.5%)

Counts

3 → 36

Calls

3 calls:

234.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
128.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
102.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

Compiler

Compiled 976 to 722 computations (26% saved)

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4947	1618
1	4947	1618

prune82.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Error

Counts

89 → 2

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	54	127
1	54	127

regimes75.0ms (1.7%)

Accuracy

Total 0.0b remaining (59.2%)

Threshold costs 0.0b (59.2%)

Compiler

Compiled 410 to 399 computations (2.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.7s (60.9%)

Algorithm

1×

intervals

Results

681.0ms	1999×	body	1024	valid
431.0ms	1971×	body	1024	invalid
252.0ms	4488×	body	128	valid
182.0ms	1025×	body	512	valid
167.0ms	1021×	body	512	invalid
57.0ms	523×	body	256	invalid
56.0ms	486×	body	256	valid
46.0ms	744×	body	128	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 288 to 266 computations (7.6% saved)

Pareto

0.6985634343688345

Details

analyze340.0ms (7.7%)

sample75.0ms (1.7%)

simplify218.0ms (4.9%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite19.0ms (0.4%)

series187.0ms (4.2%)

simplify88.0ms (2%)

prune52.0ms (1.2%)

localize8.0ms (0.2%)

rewrite25.0ms (0.6%)

series464.0ms (10.5%)

simplify79.0ms (1.8%)

prune82.0ms (1.9%)

simplify3.0ms (0.1%)

regimes75.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (60.9%)

Profiling