Details

analyze220.0ms (7.4%)

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 (77.6%)

Results

770.0ms	5935×	body	128	valid
698.0ms	1288×	body	1024	valid
333.0ms	709×	body	1024	invalid
213.0ms	668×	body	512	valid
97.0ms	321×	body	512	invalid
77.0ms	359×	body	256	valid
42.0ms	180×	body	256	invalid
29.0ms	239×	body	128	invalid
6.0ms	6×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (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:

8.0ms

(*.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))

simplify64.0ms (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

prune23.0ms (0.8%)

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

Counts

45 → 2

Alt Table

Status	Error	Program
▶	12.2b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 528 to 202 computations (61.7% 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)
✓	12.3b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

series55.0ms (1.9%)

Counts

3 → 72

Calls

3 calls:

37.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
9.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
8.0ms	(*.f64 (sin.f64 im) (exp.f64 re))

rewrite12.0ms (0.4%)

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:

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

simplify104.0ms (3.5%)

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

prune53.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status	Error	Program
✓	12.2b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 1641 to 784 computations (52.2% saved)

regimes51.0ms (1.7%)

Accuracy

Total 0.0b remaining (18.4%)

Threshold costs 0.0b (18.4%)

Counts

10 → 1

Compiler

Compiled 472 to 285 computations (39.6% 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

end44.0ms (1.5%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze220.0ms (7.4%)

sample2.3s (77.6%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series8.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify64.0ms (2.2%)

prune23.0ms (0.8%)

localize7.0ms (0.2%)

series55.0ms (1.9%)

rewrite12.0ms (0.4%)

simplify104.0ms (3.5%)

prune53.0ms (1.8%)

regimes51.0ms (1.7%)

simplify2.0ms (0.1%)

end44.0ms (1.5%)

Profiling