Details

analyze929.0ms (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
28.1%	71.8%	0.1%	8
32.8%	67.1%	0.1%	9
38.2%	61.7%	0.1%	10
41%	58.9%	0.1%	11
43.9%	56%	0.1%	12
45.4%	54.5%	0.1%	13
46.1%	53.8%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample5.6s (77.7%)

Results

3.6s	2037×	body	8192	exit
742.0ms	5860×	body	128	valid
733.0ms	1363×	body	1024	valid
209.0ms	687×	body	512	valid
149.0ms	330×	body	1024	invalid
75.0ms	342×	body	256	valid
52.0ms	177×	body	512	invalid
15.0ms	62×	body	256	invalid
10.0ms	77×	body	128	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

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) (cos.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) (cos.f64 im))

series8.0ms (0.1%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite4.0ms (0.1%)

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) (cos.f64 im))

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-neg_binary64`
594×	`cancel-sign-sub-inv_binary64`
333×	`distribute-rgt-neg-in_binary64`
263×	`*-commutative_binary64`
243×	`distribute-rgt-in_binary64`

Counts

28 → 43

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	67	406
1	167	370
2	476	352
3	1277	335
4	2313	333
5	4556	333
6	4836	333
7	4972	333
8	4841	333

prune20.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
	0.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

Compiler

Compiled 541 to 214 computations (60.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series21.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

10.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
3.0ms	(sqrt.f64 (exp.f64 re))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64`
10×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
5.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
2.0ms	(sqrt.f64 (exp.f64 re))

simplify113.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
551×	`cancel-sign-sub-inv_binary64`
401×	`fma-def_binary64`
308×	`*-commutative_binary64`
276×	`distribute-rgt-neg-in_binary64`

Counts

101 → 123

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1306
1	315	1215
2	940	1159
3	1876	1126
4	3253	1118
5	4526	1118
6	4813	1118
7	4920	1118

prune81.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Error

Counts

154 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
▶	0.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

Compiler

Compiled 2355 to 717 computations (69.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 im) (exp.f64 re))
✓	0.3b	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

series44.0ms (0.6%)

Counts

3 → 72

Calls

3 calls:

28.0ms	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)
8.0ms	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))
8.0ms	(*.f64 (cos.f64 im) (exp.f64 re))

rewrite11.0ms (0.2%)

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

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

547×	`unswap-sqr_binary64`
448×	`fma-def_binary64`
333×	`*-commutative_binary64`
303×	`fma-neg_binary64`
295×	`exp-prod_binary64`

Counts

135 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	1782
1	300	1704
2	1077	1612
3	2568	1570
4	4531	1567
5	4940	1567

prune65.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Error

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
✓	0.4b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

Compiler

Compiled 1617 to 762 computations (52.9% saved)

regimes36.0ms (0.5%)

Accuracy

Total 0.0b remaining (36.8%)

Threshold costs 0.0b (36.8%)

Counts

7 → 1

Compiler

Compiled 382 to 245 computations (35.9% saved)

simplify2.0ms (0%)

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

end46.0ms (0.6%)

Compiler: Compiled 43 to 30 computations (30.2% saved)

Details

analyze929.0ms (12.8%)

sample5.6s (77.7%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.1%)

rewrite4.0ms (0.1%)

simplify96.0ms (1.3%)

prune20.0ms (0.3%)

localize8.0ms (0.1%)

series21.0ms (0.3%)

rewrite19.0ms (0.3%)

simplify113.0ms (1.6%)

prune81.0ms (1.1%)

localize6.0ms (0.1%)

series44.0ms (0.6%)

rewrite11.0ms (0.2%)

simplify94.0ms (1.3%)

prune65.0ms (0.9%)

regimes36.0ms (0.5%)

simplify2.0ms (0%)

end46.0ms (0.6%)

Profiling