Details

analyze562.0ms (9.5%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	40.6%	9.5%	7
50%	39%	11%	8
50%	33.6%	16.5%	9
50%	32.4%	17.7%	10
50%	29.5%	20.6%	11
50%	28.8%	21.3%	12
50%	27.3%	22.8%	13
50%	26.9%	23.1%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample4.8s (80.5%)

Results

1.6s	2100×	body	1024	valid
1.1s	2024×	body	1024	invalid
698.0ms	4613×	body	128	valid
424.0ms	1070×	body	512	valid
403.0ms	997×	body	512	invalid
129.0ms	499×	body	256	invalid
127.0ms	466×	body	256	valid
122.0ms	780×	body	128	invalid
9.0ms	7×	body	2048	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify75.0ms (1.3%)

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 (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

Compiler

Compiled 51 to 34 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series109.0ms (1.9%)

Counts

2 → 28

Calls

2 calls:

101.0ms	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
8.0ms	(/.f64 1/2 (exp.f64 im))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

2 → 51

Calls

2 calls:

4.0ms	(/.f64 1/2 (exp.f64 im))
3.0ms	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
488×	`associate-l_binary64`
452×	`fma-def_binary64`
419×	`associate-r_binary64`
311×	`times-frac_binary64`

Counts

79 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1502
1	372	1376
2	1128	1364
3	3741	1360
4	4972	1360
5	5058	1360

prune60.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Error

Counts

90 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
▶	0.3b	(fma.f64 1/2 (.f64 (.f64 im im) (sin.f64 re)) (sin.f64 re))

Compiler

Compiled 1725 to 932 computations (46% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 im im) (sin.f64 re))

series13.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(*.f64 (*.f64 im im) (sin.f64 re))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(*.f64 (*.f64 im im) (sin.f64 re))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

762×	`unswap-sqr_binary64`
675×	`fma-def_binary64`
623×	`cancel-sign-sub-inv_binary64`
513×	`associate-l_binary64`
506×	`fma-neg_binary64`

Counts

45 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	581
1	159	504
2	538	488
3	1689	484
4	4051	484
5	5426	484

prune25.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
✓	0.3b	(fma.f64 1/2 (.f64 (.f64 im im) (sin.f64 re)) (sin.f64 re))

Compiler

Compiled 655 to 267 computations (59.2% saved)

regimes77.0ms (1.3%)

Accuracy

Total 0.0b remaining (12.6%)

Threshold costs 0.0b (12.6%)

Counts

10 → 1

Compiler

Compiled 912 to 640 computations (29.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	10	17
2	10	17

end49.0ms (0.8%)

Compiler: Compiled 51 to 34 computations (33.3% saved)

Details

analyze562.0ms (9.5%)

sample4.8s (80.5%)

simplify75.0ms (1.3%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series109.0ms (1.9%)

rewrite9.0ms (0.1%)

simplify90.0ms (1.5%)

prune60.0ms (1%)

localize7.0ms (0.1%)

series13.0ms (0.2%)

rewrite6.0ms (0.1%)

simplify57.0ms (1%)

prune25.0ms (0.4%)

regimes77.0ms (1.3%)

simplify2.0ms (0%)

end49.0ms (0.8%)

Profiling