Details

analyze338.0ms (7.9%)

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)

sample101.0ms (2.3%)

Algorithm

1×

intervals

Results

28.0ms	66×	body	1024	valid
22.0ms	78×	body	1024	invalid
10.0ms	38×	body	512	invalid
9.0ms	142×	body	128	valid
7.0ms	31×	body	512	valid
7.0ms	100×	body	128	invalid
3.0ms	21×	body	256	invalid
2.0ms	17×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify249.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5100	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
4×	`-un-lft-identity_binary64_77` `associate-r*_binary64_19`
3×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
2×	`associate-*r/_binary64_21` `add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
1×	`associate-l_binary64_20` `add-log-exp_binary64_113` `flip-+_binary64_51` `flip3-+_binary64_80` `distribute-lft-in_binary64_28` `*-commutative_binary64_10` `distribute-rgt-in_binary64_29` `distribute-lft-out_binary64_30`

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series116.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4901	507
1	4901	507

prune22.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

Compiler

Compiled 438 to 172 computations (60.7% 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))

rewrite27.0ms (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))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series341.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

177.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
89.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
74.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4975	984
1	4975	984

prune55.0ms (1.3%)

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 571 computations (49.9% saved)

regimes36.0ms (0.8%)

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

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.8s (65.9%)

Algorithm

1×

intervals

Results

867.0ms	2001×	body	1024	valid
543.0ms	1923×	body	1024	invalid
301.0ms	4486×	body	128	valid
222.0ms	1009×	body	512	valid
182.0ms	955×	body	512	invalid
167.0ms	2494×	body	128	invalid
69.0ms	495×	body	256	valid
66.0ms	507×	body	256	invalid
8.0ms	9×	body	2048	valid

Compiler

Compiled 50 to 45 computations (10% saved)

Details

analyze338.0ms (7.9%)

sample101.0ms (2.3%)

simplify249.0ms (5.8%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite13.0ms (0.3%)

series116.0ms (2.7%)

simplify72.0ms (1.7%)

prune22.0ms (0.5%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series341.0ms (7.9%)

simplify68.0ms (1.6%)

prune55.0ms (1.3%)

regimes36.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (65.9%)

Profiling