Details

analyze542.0ms (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)

sample4.7s (78.6%)

Results

1.5s	2068×	body	1024	valid
1.2s	2047×	body	1024	invalid
701.0ms	4642×	body	128	valid
407.0ms	1028×	body	512	valid
381.0ms	1006×	body	512	invalid
159.0ms	745×	body	128	invalid
149.0ms	513×	body	256	valid
137.0ms	508×	body	256	invalid
7.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

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

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)))

series16.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

16.0ms

(*.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)))

simplify87.0ms (1.4%)

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

prune40.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
▶	0.4b	(log1p.f64 (expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))))

Compiler

Compiled 1250 to 725 computations (42% saved)

localize11.0ms (0.2%)

Local error

Found 3 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)))
✓	0.1b	(expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))))
✓	0.2b	(log1p.f64 (expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))))

series52.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

35.0ms	(expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))))
17.0ms	(log1p.f64 (expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))))
0.0ms	(log1p.f64 (expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))))

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

331×	`cancel-sign-sub-inv_binary64`
293×	`fma-neg_binary64`
289×	`associate-r_binary64`
286×	`fma-def_binary64`
216×	`unswap-sqr_binary64`

Counts

70 → 71

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2306
1	645	2005
2	2537	1893
3	4658	1887
4	5062	1887

prune169.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Error

Counts

127 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	0.4b	(log1p.f64 (expm1.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))))

Compiler

Compiled 3543 to 2110 computations (40.4% saved)

regimes96.0ms (1.6%)

Accuracy

Total 0.0b remaining (7.2%)

Threshold costs 0.0b (7.2%)

Counts

14 → 1

Compiler

Compiled 1092 to 804 computations (26.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub0-neg_binary64`
1×	`sub-neg_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	17	18
2	20	18
3	21	18
4	21	18

end59.0ms (1%)

Compiler: Compiled 56 to 44 computations (21.4% saved)

Details

analyze542.0ms (9%)

sample4.7s (78.6%)

simplify75.0ms (1.3%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series16.0ms (0.3%)

rewrite13.0ms (0.2%)

simplify87.0ms (1.4%)

prune40.0ms (0.7%)

localize11.0ms (0.2%)

series52.0ms (0.9%)

rewrite2.0ms (0%)

simplify105.0ms (1.7%)

prune169.0ms (2.8%)

regimes96.0ms (1.6%)

simplify2.0ms (0%)

end59.0ms (1%)

Profiling