Details

analyze233.0ms (7.7%)

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 (74.9%)

Results

736.0ms	1421×	body	1024	valid
683.0ms	5828×	body	128	valid
301.0ms	662×	body	1024	invalid
272.0ms	671×	body	512	valid
96.0ms	323×	body	512	invalid
69.0ms	332×	body	256	valid
33.0ms	157×	body	256	invalid
31.0ms	258×	body	128	invalid
3.0ms	4×	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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (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))

simplify65.0ms (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

prune26.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
▶	12.5b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
	22.6b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 544 to 210 computations (61.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 im) (exp.f64 re))
✓	0.3b	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
✓	12.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

series37.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

23.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
7.0ms	(*.f64 (sin.f64 im) (exp.f64 re))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`cbrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`*-un-lft-identity_binary64`

Counts

3 → 63

Calls

3 calls:

6.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
4.0ms	(*.f64 (sin.f64 im) (exp.f64 re))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

simplify100.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
555×	`unswap-sqr_binary64`
381×	`*-commutative_binary64`
374×	`fma-neg_binary64`
295×	`exp-prod_binary64`

Counts

135 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1811
1	327	1720
2	1182	1610
3	2988	1580
4	4663	1577
5	5067	1577

prune54.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
✓	12.5b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	22.6b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 1657 to 792 computations (52.2% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

series8.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(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))

simplify58.0ms (1.9%)

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

prune13.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Status	Error	Program
✓	12.5b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	22.6b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 401 to 209 computations (47.9% saved)

regimes54.0ms (1.8%)

Accuracy

Total 0.0b remaining (52.6%)

Threshold costs 0.0b (52.6%)

Counts

9 → 1

Compiler

Compiled 422 to 250 computations (40.8% 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

end50.0ms (1.7%)

Compiler: Compiled 39 to 27 computations (30.8% saved)

Details

analyze233.0ms (7.7%)

sample2.3s (74.9%)

simplify5.0ms (0.2%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series8.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify65.0ms (2.2%)

prune26.0ms (0.9%)

localize7.0ms (0.2%)

series37.0ms (1.2%)

rewrite14.0ms (0.5%)

simplify100.0ms (3.3%)

prune54.0ms (1.8%)

localize7.0ms (0.2%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify58.0ms (1.9%)

prune13.0ms (0.4%)

regimes54.0ms (1.8%)

simplify2.0ms (0.1%)

end50.0ms (1.7%)

Profiling