Details

analyze648.0ms (9.4%)

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)

sample144.0ms (2.1%)

Algorithm

1×

intervals

Results

41.0ms	55×	body	1024	valid
24.0ms	55×	body	1024	invalid
17.0ms	152×	body	128	valid
13.0ms	35×	body	512	valid
9.0ms	30×	body	512	invalid
9.0ms	80×	body	128	invalid
5.0ms	23×	body	256	invalid
3.0ms	14×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify361.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	5282	18

prune12.0ms (0.2%)

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)

localize18.0ms (0.3%)

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)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

21.0ms

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

series117.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

117.0ms

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

simplify133.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4918	507
1	4918	507

prune46.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

27 → 1

Compiler

Compiled 438 to 172 computations (60.7% saved)

localize18.0ms (0.3%)

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))

rewrite50.0ms (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:

17.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
11.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series314.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

168.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
76.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
69.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify153.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4930	984
1	4930	984

prune97.0ms (1.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	1	61

Merged error: 0b

Counts

61 → 1

Compiler

Compiled 1140 to 572 computations (49.8% saved)

regimes127.0ms (1.8%)

Compiler: Compiled 282 to 252 computations (10.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample4.7s (67.3%)

Algorithm

1×

intervals

Results

1.3s	1972×	body	1024	valid
892.0ms	1970×	body	1024	invalid
524.0ms	4509×	body	128	valid
358.0ms	1002×	body	512	valid
299.0ms	946×	body	512	invalid
289.0ms	2467×	body	128	invalid
118.0ms	507×	body	256	valid
110.0ms	486×	body	256	invalid
13.0ms	10×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 66 to 57 computations (13.6% saved)

Details

analyze648.0ms (9.4%)

sample144.0ms (2.1%)

simplify361.0ms (5.2%)

prune12.0ms (0.2%)

localize18.0ms (0.3%)

rewrite24.0ms (0.3%)

series117.0ms (1.7%)

simplify133.0ms (1.9%)

prune46.0ms (0.7%)

localize18.0ms (0.3%)

rewrite50.0ms (0.7%)

series314.0ms (4.5%)

simplify153.0ms (2.2%)

prune97.0ms (1.4%)

regimes127.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.7s (67.3%)

Profiling