Details

analyze212.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12
74.9%	13.6%	11.4%	13
74.9%	13.3%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (82.1%)

Results

731.0ms	1371×	body	1024	valid
653.0ms	5806×	body	128	valid
322.0ms	679×	body	1024	invalid
214.0ms	736×	body	512	valid
110.0ms	383×	body	512	invalid
68.0ms	336×	body	256	valid
29.0ms	149×	body	256	invalid
28.0ms	233×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess14.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 8

Calls

6 calls:

2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))	re	inf
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))	re	-inf
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))	im	0
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))	re	0
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))	im	-inf

rewrite28.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`
471×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1324	8

Stop Event

1×	node limit

Counts

1 → 13

simplify29.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
496×	`associate-l_binary64`
401×	`associate-r_binary64`
338×	`cancel-sign-sub-inv_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	168
1	125	160
2	363	139
3	1249	119
4	4517	119

Stop Event

1×	node limit

Counts

21 → 28

prune15.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	21.0b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 329 to 167 computations (49.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

3.0ms	(fma.f64 (sin.f64 im) re (sin.f64 im))	re	-inf
1.0ms	(fma.f64 (sin.f64 im) re (sin.f64 im))	im	0
1.0ms	(fma.f64 (sin.f64 im) re (sin.f64 im))	re	inf
1.0ms	(fma.f64 (sin.f64 im) re (sin.f64 im))	re	0
1.0ms	(fma.f64 (sin.f64 im) re (sin.f64 im))	im	-inf

rewrite28.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`pow1_binary64`
438×	`add-log-exp_binary64`
438×	`log1p-expm1-u_binary64`
438×	`expm1-log1p-u_binary64`
427×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	98	9
2	1163	9

Stop Event

1×	node limit

Counts

1 → 21

simplify25.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
549×	`associate--r+_binary64`
422×	`associate-l_binary64`
350×	`fma-def_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	293
1	139	276
2	491	260
3	2299	252

Stop Event

1×	node limit

Counts

45 → 33

prune14.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Error

0.0b

Counts

35 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	21.0b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 439 to 197 computations (55.1% saved)

regimes38.0ms (1.4%)

Accuracy

Total 0.0b remaining (12.1%)

Threshold costs 0.0b (12.1%)

Counts

7 → 1

Compiler

Compiled 272 to 170 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

end35.0ms (1.3%)

Stop Event

1×

done

Compiler

Compiled 29 to 19 computations (34.5% saved)

Details

analyze212.0ms (8%)

sample2.2s (82.1%)

preprocess14.0ms (0.5%)

simplify8.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite28.0ms (1.1%)

simplify29.0ms (1.1%)

prune15.0ms (0.6%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite28.0ms (1.1%)

simplify25.0ms (0.9%)

prune14.0ms (0.5%)

regimes38.0ms (1.4%)

simplify2.0ms (0.1%)

end35.0ms (1.3%)

Profiling