Details

analyze211.0ms (7.6%)

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)

sample2.3s (82.6%)

Results

737.0ms	1367×	body	1024	valid
700.0ms	5872×	body	128	valid
381.0ms	685×	body	1024	invalid
212.0ms	672×	body	512	valid
89.0ms	316×	body	512	invalid
71.0ms	343×	body	256	valid
34.0ms	156×	body	256	invalid
28.0ms	238×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune1.0ms (0%)

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 (0.1%)

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

1 calls:

7.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
423×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
283×	`*-commutative_binary64`

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune19.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Error

0.0b

Counts

45 → 2

Alt Table

Status	Error	Program
▶	20.7b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 524 to 194 computations (63% 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

1 calls:

9.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
597×	`distribute-rgt-neg-in_binary64`
570×	`associate-l_binary64`
393×	`associate-r_binary64`
361×	`fma-def_binary64`

Counts

34 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	431
1	144	395
2	488	378
3	1897	370
4	4265	370
5	4975	370

prune17.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	2	31

Error

0.0b

Counts

31 → 2

Alt Table

Status	Error	Program
✓	20.7b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 391 to 201 computations (48.6% saved)

regimes36.0ms (1.3%)

Accuracy

Total 0.0b remaining (28%)

Threshold costs 0.0b (28%)

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
2	7	8

end38.0ms (1.4%)

Compiler: Compiled 29 to 19 computations (34.5% saved)

Details

analyze211.0ms (7.6%)

sample2.3s (82.6%)

simplify5.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify61.0ms (2.2%)

prune19.0ms (0.7%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite1.0ms (0%)

simplify62.0ms (2.3%)

prune17.0ms (0.6%)

regimes36.0ms (1.3%)

simplify2.0ms (0.1%)

end38.0ms (1.4%)

Profiling