Details

analyze188.0ms (4.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample72.0ms (1.8%)

Algorithm

1×

intervals

Results

24.0ms	44×	body	1024	valid
14.0ms	179×	body	128	valid
6.0ms	20×	body	1024	invalid
5.0ms	21×	body	512	valid
2.0ms	12×	body	256	valid
2.0ms	21×	body	128	invalid
1.0ms	6×	body	512	invalid
0.0ms	3×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify138.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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 10 to 10 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_2487`
3×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526` `associate-r_binary64_2405` `associate-l*_binary64_2406`
2×	`add-exp-log_binary64_2503`
1×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

1 → 18

Calls

2 calls:

11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

series127.0ms (3.2%)

Counts

1 → 10

Calls

1 calls:

126.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify144.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4847	297
1	4847	297

prune27.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Compiler

Compiled 246 to 79 computations (67.9% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

2.8b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.0b	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.0b	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
2.8b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2487`
6×	`*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
5×	`add-cbrt-cube_binary64_2501`
4×	`add-exp-log_binary64_2503`
3×	`log-prod_binary64_2551` `log-pow_binary64_2554` `associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`exp-to-pow_binary64_2527` `exp-prod_binary64_2517`
1×	`*-commutative_binary64_2396` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `rem-exp-log_binary64_2505` `pow-prod-down_binary64_2536` `rem-log-exp_binary64_2506` `cbrt-unprod_binary64_2498`

Counts

3 → 42

Calls

6 calls:

6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
2.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series556.0ms (14.2%)

Counts

3 → 30

Calls

3 calls:

321.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
151.0ms	(exp.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
83.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 551 to 445 computations (19.2% saved)

simplify123.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4943	874
1	4943	874

prune50.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 747 to 236 computations (68.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	72
1	30	72

regimes129.0ms (3.3%)

Accuracy

Total 0.0b remaining (14.6%)

Threshold costs 0.0b (14.6%)

Compiler

Compiled 267 to 310 computations (-16.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample2.3s (59%)

Algorithm

1×

intervals

Results

460.0ms	1338×	body	1024	valid
364.0ms	5644×	body	128	valid
161.0ms	667×	body	1024	invalid
131.0ms	676×	body	512	valid
62.0ms	816×	body	128	invalid
60.0ms	305×	body	512	invalid
43.0ms	337×	body	256	valid
19.0ms	154×	body	256	invalid
2.0ms	5×	body	2048	valid

Compiler

Compiled 153 to 176 computations (-15% saved)

Pareto

0.18274116354115333

Details

analyze188.0ms (4.8%)

sample72.0ms (1.8%)

simplify138.0ms (3.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite14.0ms (0.3%)

series127.0ms (3.2%)

simplify144.0ms (3.7%)

prune27.0ms (0.7%)

localize8.0ms (0.2%)

rewrite13.0ms (0.3%)

series556.0ms (14.2%)

simplify123.0ms (3.1%)

prune50.0ms (1.3%)

simplify5.0ms (0.1%)

regimes129.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (59%)

Profiling