Details

analyze573.0ms (8.9%)

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
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)

sample5.0s (77%)

Results

1.6s	2162×	body	1024	valid
1.3s	2019×	body	1024	invalid
705.0ms	4590×	body	128	valid
469.0ms	1018×	body	512	valid
381.0ms	975×	body	512	invalid
144.0ms	542×	body	256	invalid
130.0ms	480×	body	256	valid
126.0ms	821×	body	128	invalid
8.0ms	6×	body	2048	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify75.0ms (1.2%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series17.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-neg_binary64`
639×	`fma-def_binary64`
407×	`times-frac_binary64`
375×	`*-commutative_binary64`
336×	`distribute-rgt-in_binary64`

Counts

49 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1214
1	365	1025
2	1350	1003
3	3869	1002
4	4967	1002
5	5162	1002

prune54.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Alt Table

Status	Error	Program
	35.4b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))
▶	0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 1276 to 735 computations (42.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series63.0ms (1%)

Counts

3 → 72

Calls

3 calls:

31.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
21.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
11.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
5.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
4.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

489×	`fma-neg_binary64`
487×	`associate-/l*_binary64`
378×	`cancel-sign-sub-inv_binary64`
275×	`times-frac_binary64`
178×	`fma-def_binary64`

Counts

135 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2409
1	543	2239
2	1909	2146
3	4690	2142
4	5000	2142
5	4967	2142

prune92.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Status	Error	Program
▶	35.4b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))
✓	0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 3259 to 1654 computations (49.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series35.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

18.0ms	(fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))
16.0ms	(/.f64 re (exp.f64 im))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

3.0ms	(/.f64 re (exp.f64 im))
0.0ms	(fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-def_binary64`
716×	`fma-neg_binary64`
418×	`associate-/l*_binary64`
299×	`cancel-sign-sub-inv_binary64`
244×	`associate-*l/_binary64`

Counts

67 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	897
1	208	844
2	502	833
3	1406	822
4	4321	822
5	4973	822
6	4928	822

prune34.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Error

Counts

71 → 3

Alt Table

Status	Error	Program
✓	35.4b	(*.f64 1/2 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))
✓	0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 1093 to 444 computations (59.4% saved)

regimes122.0ms (1.9%)

Accuracy

Total 0.0b remaining (25.3%)

Threshold costs 0.0b (25.3%)

Counts

18 → 1

Compiler

Compiled 1628 to 1156 computations (29% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	13	24
2	13	24

end58.0ms (0.9%)

Compiler: Compiled 77 to 51 computations (33.8% saved)

Details

analyze573.0ms (8.9%)

sample5.0s (77%)

simplify75.0ms (1.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series17.0ms (0.3%)

rewrite13.0ms (0.2%)

simplify82.0ms (1.3%)

prune54.0ms (0.8%)

localize8.0ms (0.1%)

series63.0ms (1%)

rewrite19.0ms (0.3%)

simplify132.0ms (2.1%)

prune92.0ms (1.4%)

localize6.0ms (0.1%)

series35.0ms (0.5%)

rewrite5.0ms (0.1%)

simplify81.0ms (1.3%)

prune34.0ms (0.5%)

regimes122.0ms (1.9%)

simplify2.0ms (0%)

end58.0ms (0.9%)

Profiling