Details

analyze515.0ms (8.6%)

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)

sample4.6s (77.8%)

Results

1.4s	2072×	body	1024	valid
1.1s	2005×	body	1024	invalid
633.0ms	4560×	body	128	valid
440.0ms	1093×	body	512	invalid
397.0ms	1073×	body	512	valid
194.0ms	555×	body	256	invalid
160.0ms	822×	body	128	invalid
143.0ms	547×	body	256	valid
6.0ms	4×	body	2048	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify74.0ms (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 (0.1%)

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)

localize8.0ms (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))

series29.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

23.0ms	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
6.0ms	(/.f64 1/2 (exp.f64 im))

rewrite42.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
116×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`add-log-exp_binary64`

Counts

2 → 41

Calls

2 calls:

42.0ms	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
42.0ms	(/.f64 1/2 (exp.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	182	23
2	2115	23
3	5120	23
0	0	0
1	0	0

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-neg_binary64`
601×	`associate--r+_binary64`
403×	`fma-def_binary64`
298×	`sub-neg_binary64`
203×	`times-frac_binary64`

Counts

69 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	640
1	230	593
2	698	581
3	2400	568
4	4927	568
5	5174	568

prune53.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	2	66

Error

Counts

66 → 2

Alt Table

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

Compiler

Compiled 1170 to 672 computations (42.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series30.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
12.0ms	(.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re))

rewrite80.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
265×	`pow2_binary64`
188×	`pow1/3_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`

Counts

2 → 55

Calls

2 calls:

79.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
79.0ms	(.f64 (.f64 1/2 (exp.f64 im)) (sin.f64 re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	205	22
2	2449	22
3	4964	22
4	5100	22
0	0	0
1	0	0

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

976×	`times-frac_binary64`
556×	`fma-neg_binary64`
545×	`distribute-rgt-neg-in_binary64`
352×	`sub-neg_binary64`
352×	`fma-def_binary64`

Counts

103 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	756
1	209	726
2	600	694
3	1736	669
4	3552	669
5	4757	669
6	5726	669

prune77.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Error

Counts

116 → 2

Alt Table

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

Compiler

Compiled 2351 to 1297 computations (44.8% saved)

localize10.0ms (0.2%)

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))

prune48.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	2	67

Error

Counts

67 → 2

Alt Table

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

Compiler

Compiled 1268 to 780 computations (38.5% saved)

regimes160.0ms (2.7%)

Accuracy

Total 0.0b remaining (23.7%)

Threshold costs 0.0b (23.7%)

Counts

24 → 1

Compiler

Compiled 2244 to 1605 computations (28.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	14	17
2	13	17

end51.0ms (0.9%)

Compiler: Compiled 58 to 40 computations (31% saved)

Details

analyze515.0ms (8.6%)

sample4.6s (77.8%)

simplify74.0ms (1.2%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series29.0ms (0.5%)

rewrite42.0ms (0.7%)

simplify58.0ms (1%)

prune53.0ms (0.9%)

localize8.0ms (0.1%)

series30.0ms (0.5%)

rewrite80.0ms (1.3%)

simplify75.0ms (1.3%)

prune77.0ms (1.3%)

localize10.0ms (0.2%)

prune48.0ms (0.8%)

regimes160.0ms (2.7%)

simplify2.0ms (0%)

end51.0ms (0.9%)

Profiling