Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (74.9%)

Infinites

49.5% of outputs are infinite.

Results

1.1s	2043×	body	1024	valid
535.0ms	4647×	body	128	valid
291.0ms	1014×	body	512	valid
121.0ms	551×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify75.0ms (2.6%)

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 (0.3%)

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))

series30.0ms (1%)

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))

rewrite8.0ms (0.3%)

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:

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

simplify115.0ms (3.9%)

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 (2.1%)

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
▶	6.6b	(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
✓	0.0b	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

Compiler

Compiled 1739 to 944 computations (45.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
✓	0.0b	(.f64 1/2 (.f64 im im))
✓	0.1b	(*.f64 1/24 (pow.f64 im 4))
✓	1.9b	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))

series42.0ms (1.4%)

Counts

4 → 48

Calls

4 calls:

28.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
6.0ms	(.f64 1/2 (.f64 im im))
4.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
3.0ms	(*.f64 1/24 (pow.f64 im 4))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-r_binary64`
11×	`pow1_binary64`

Counts

4 → 86

Calls

4 calls:

7.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
7.0ms	(.f64 1/2 (.f64 im im))
5.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
4.0ms	(*.f64 1/24 (pow.f64 im 4))

simplify87.0ms (3%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
733×	`fma-neg_binary64`
315×	`cancel-sign-sub-inv_binary64`
261×	`distribute-rgt-in_binary64`
253×	`associate-r_binary64`

Counts

134 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2211
1	468	2074
2	1699	2006
3	4710	2005
4	5223	2005

prune113.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Error

Counts

141 → 2

Alt Table

Status	Error	Program
✓	6.6b	(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
✓	0.0b	(*.f64 (sin.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

Compiler

Compiled 3534 to 2124 computations (39.9% saved)

regimes101.0ms (3.4%)

Accuracy

Total 0.0b remaining (48.5%)

Threshold costs 0.0b (48.5%)

Counts

13 → 1

Compiler

Compiled 1350 to 946 computations (29.9% saved)

simplify2.0ms (0.1%)

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

end51.0ms (1.8%)

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

Details

analyze1.0ms (0%)

sample2.2s (74.9%)

simplify75.0ms (2.6%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

series30.0ms (1%)

rewrite8.0ms (0.3%)

simplify115.0ms (3.9%)

prune60.0ms (2.1%)

localize11.0ms (0.4%)

series42.0ms (1.4%)

rewrite26.0ms (0.9%)

simplify87.0ms (3%)

prune113.0ms (3.9%)

regimes101.0ms (3.4%)

simplify2.0ms (0.1%)

end51.0ms (1.8%)

Profiling