Details

analyze338.0ms (8.9%)

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
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)

sample81.0ms (2.1%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
15.0ms	61×	body	1024	invalid
12.0ms	154×	body	128	valid
5.0ms	78×	body	128	invalid
5.0ms	25×	body	512	valid
4.0ms	27×	body	512	invalid
2.0ms	16×	body	256	invalid
2.0ms	14×	body	256	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify205.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5282	18

prune3.0ms (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 2 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)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
4×	`add-log-exp_binary64_117` `associate-r_binary64_18`
3×	`add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `pow-prod-down_binary64_149`
2×	`flip-+_binary64_52` `associate-*r/_binary64_20` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `-commutative_binary64_9` `associate-l*_binary64_19` `distribute-rgt-in_binary64_28` `sum-log_binary64_169`

Counts

2 → 35

Calls

2 calls:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series81.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4978	719
1	4978	719

prune34.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Compiler

Compiled 674 to 258 computations (61.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_114`
9×	`add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r*_binary64_22` `pow-prod-down_binary64_149`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l_binary64_19` `flip-+_binary64_52` `frac-2neg_binary64_89` `associate-/l_binary64_23` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+.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))

series178.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

96.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
44.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
37.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4930	984
1	4930	984

prune52.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 1140 to 572 computations (49.8% saved)

regimes62.0ms (1.6%)

Accuracy

Total 0.0b remaining (43.3%)

Threshold costs 0.0b (43.3%)

Compiler

Compiled 282 to 252 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.5s (66.6%)

Algorithm

1×

intervals

Results

708.0ms	1923×	body	1024	valid
476.0ms	2004×	body	1024	invalid
292.0ms	4592×	body	128	valid
182.0ms	968×	body	512	valid
164.0ms	2553×	body	128	invalid
162.0ms	970×	body	512	invalid
62.0ms	512×	body	256	valid
60.0ms	498×	body	256	invalid
4.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 66 to 57 computations (13.6% saved)

Details

analyze338.0ms (8.9%)

sample81.0ms (2.1%)

simplify205.0ms (5.4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.6%)

series81.0ms (2.1%)

simplify77.0ms (2%)

prune34.0ms (0.9%)

localize9.0ms (0.2%)

rewrite26.0ms (0.7%)

series178.0ms (4.7%)

simplify87.0ms (2.3%)

prune52.0ms (1.4%)

regimes62.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.5s (66.6%)

Profiling