Details

analyze353.0ms (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
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 (2%)

Algorithm

1×

intervals

Results

25.0ms	58×	body	1024	valid
16.0ms	59×	body	1024	invalid
10.0ms	150×	body	128	valid
7.0ms	37×	body	512	invalid
7.0ms	32×	body	512	valid
6.0ms	87×	body	128	invalid
2.0ms	16×	body	256	valid
2.0ms	12×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify253.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5100	18

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (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)))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135` `*-un-lft-identity_binary64_77`
4×	`add-log-exp_binary64_113` `associate-r_binary64_19`
3×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123` `add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
2×	`flip-+_binary64_51` `flip3-+_binary64_80` `associate-*r/_binary64_21` `distribute-lft-out_binary64_30`
1×	`associate-l_binary64_20` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `*-commutative_binary64_10` `distribute-rgt-in_binary64_29` `sum-log_binary64_165`

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))

series158.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

131.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
27.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4885	719
1	4885	719

prune32.0ms (0.7%)

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

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 674 to 258 computations (61.7% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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 1/2 (sin.f64 re)) (exp.f64 im))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_110`
9×	`add-exp-log_binary64_112`
8×	`pow1_binary64_135`
6×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
5×	`add-log-exp_binary64_113`
4×	`cbrt-unprod_binary64_107` `prod-exp_binary64_123`
3×	`associate-/r_binary64_23` `pow-prod-down_binary64_145` `times-frac_binary64_83` `associate-r*_binary64_19`
2×	`cbrt-undiv_binary64_108` `div-exp_binary64_125` `div-inv_binary64_74`
1×	`associate-l_binary64_20` `flip-+_binary64_51` `flip3-+_binary64_80` `associate-/l_binary64_24` `+-commutative_binary64_9` `-commutative_binary64_10` `clear-num_binary64_76` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `sum-log_binary64_165`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+.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))
7.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series324.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

178.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
81.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
64.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4975	984
1	4975	984

prune54.0ms (1.2%)

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

Merged error: 0b

Counts

62 → 2

Compiler

Compiled 1140 to 573 computations (49.7% saved)

regimes35.0ms (0.8%)

Compiler: Compiled 120 to 108 computations (10% 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%)

sample2.9s (65.7%)

Algorithm

1×

intervals

Results

874.0ms	1997×	body	1024	valid
576.0ms	1997×	body	1024	invalid
306.0ms	4465×	body	128	valid
232.0ms	1031×	body	512	valid
189.0ms	1011×	body	512	invalid
177.0ms	2598×	body	128	invalid
68.0ms	505×	body	256	valid
66.0ms	516×	body	256	invalid
2.0ms	2×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 54 to 46 computations (14.8% saved)

Details

analyze353.0ms (8%)

sample88.0ms (2%)

simplify253.0ms (5.7%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite21.0ms (0.5%)

series158.0ms (3.6%)

simplify74.0ms (1.7%)

prune32.0ms (0.7%)

localize12.0ms (0.3%)

rewrite28.0ms (0.6%)

series324.0ms (7.3%)

simplify69.0ms (1.6%)

prune54.0ms (1.2%)

regimes35.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (65.7%)

Profiling