Details

analyze1.9s (11.2%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	96.8%	3.2%	7
0%	95.2%	4.8%	8
0%	92.9%	7.1%	9
0%	91.7%	8.3%	10
0%	90.3%	9.7%	11
0%	89.7%	10.3%	12
0%	88.9%	11.1%	13
0%	88.6%	11.4%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample14.4s (84.2%)

Results

10.3s	4112×	body	8192	exit
1.5s	2076×	body	1024	valid
932.0ms	4608×	body	128	valid
575.0ms	978×	body	1024	invalid
426.0ms	1053×	body	512	valid
192.0ms	505×	body	512	invalid
181.0ms	515×	body	256	valid
80.0ms	262×	body	256	invalid
71.0ms	443×	body	128	invalid
10.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
536×	`fma-def_binary64`
491×	`associate-/r*_binary64`
476×	`fabs-mul_binary64`
360×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	27	18
2	65	18
3	104	17
4	137	17
5	196	17
6	329	17
7	736	17
8	2242	17
9	2250	17
10	2619	17
11	4128	17
12	4563	17
13	5391	17

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

series20.0ms (0.1%)

Counts

2 → 36

Calls

2 calls:

17.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
2.0ms	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`fma-def_binary64`
15×	`*-un-lft-identity_binary64`
13×	`exp-sum_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 55

Calls

2 calls:

13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
11.0ms	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
579×	`fma-neg_binary64`
407×	`times-frac_binary64`
388×	`*-commutative_binary64`
341×	`distribute-rgt-in_binary64`

Counts

91 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1574
1	410	1348
2	1452	1317
3	4116	1316
4	5087	1316

prune79.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Error

Counts

103 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
▶	0.7b	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))
	30.3b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))

Compiler

Compiled 2238 to 1231 computations (45% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))
✓	0.1b	(.f64 (sin.f64 re) (.f64 im im))

series32.0ms (0.2%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))
13.0ms	(.f64 (sin.f64 re) (.f64 im im))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`associate-l_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(.f64 (sin.f64 re) (.f64 im im))
0.0ms	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-l_binary64`
408×	`fma-def_binary64`
381×	`associate-r_binary64`
338×	`distribute-rgt-neg-in_binary64`
328×	`distribute-lft-neg-in_binary64`

Counts

79 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1249
1	247	1133
2	809	1043
3	3073	1043
4	4999	1043
5	4930	1043

prune50.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Error

Counts

74 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	0.7b	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))
▶	30.3b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))

Compiler

Compiled 1271 to 592 computations (53.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 re (exp.f64 im))

series15.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

15.0ms

(/.f64 re (exp.f64 im))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

3.0ms

(/.f64 re (exp.f64 im))

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

698×	`times-frac_binary64`
536×	`div-sub_binary64`
513×	`distribute-rgt-neg-in_binary64`
299×	`cancel-sign-sub-inv_binary64`
296×	`associate-l_binary64`

Counts

33 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	416
1	146	390
2	331	388
3	833	382
4	2819	382
5	4606	382
6	5267	382

prune23.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	0.7b	(fma.f64 1/2 (.f64 (sin.f64 re) (.f64 im im)) (sin.f64 re))
✓	30.3b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))

Compiler

Compiled 661 to 275 computations (58.4% saved)

regimes114.0ms (0.7%)

Accuracy

Total 0.0b remaining (18.7%)

Threshold costs 0.0b (18.7%)

Counts

17 → 1

Compiler

Compiled 1256 to 905 computations (27.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	18	18
2	20	18
3	21	18
4	21	18

end65.0ms (0.4%)

Compiler: Compiled 64 to 45 computations (29.7% saved)

Details

analyze1.9s (11.2%)

sample14.4s (84.2%)

simplify76.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series20.0ms (0.1%)

rewrite27.0ms (0.2%)

simplify76.0ms (0.4%)

prune79.0ms (0.5%)

localize8.0ms (0%)

series32.0ms (0.2%)

rewrite7.0ms (0%)

simplify87.0ms (0.5%)

prune50.0ms (0.3%)

localize6.0ms (0%)

series15.0ms (0.1%)

rewrite5.0ms (0%)

simplify76.0ms (0.4%)

prune23.0ms (0.1%)

regimes114.0ms (0.7%)

simplify3.0ms (0%)

end65.0ms (0.4%)

Profiling