Details

analyze198.0ms (4.8%)

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%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (55.1%)

Results

786.0ms	1419×	body	1024	valid
679.0ms	5785×	body	128	valid
325.0ms	687×	body	1024	invalid
204.0ms	693×	body	512	valid
102.0ms	351×	body	512	invalid
71.0ms	356×	body	256	valid
28.0ms	142×	body	256	invalid
24.0ms	197×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% 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 (0.2%)

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 (2.3%)

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

prune27.0ms (0.7%)

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 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
	0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 553 to 214 computations (61.3% saved)

localize7.0ms (0.2%)

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)))

series22.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

11.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
9.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
2.0ms	(sqrt.f64 (exp.f64 re))

rewrite18.0ms (0.4%)

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:

7.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
6.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
1.0ms	(sqrt.f64 (exp.f64 re))

simplify109.0ms (2.7%)

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

prune93.0ms (2.3%)

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 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
▶	0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 2367 to 717 computations (69.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series762.0ms (18.6%)

Counts

3 → 48

Calls

3 calls:

340.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im))
233.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
189.0ms	(cbrt.f64 (exp.f64 re))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
12×	`associate-l_binary64`

Counts

3 → 79

Calls

3 calls:

5.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
4.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im))
1.0ms	(cbrt.f64 (exp.f64 re))

simplify123.0ms (3%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-l_binary64`
432×	`unswap-sqr_binary64`
349×	`associate-r_binary64`
345×	`cancel-sign-sub-inv_binary64`
287×	`fma-def_binary64`

Counts

127 → 139

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	128	1660
1	278	1532
2	748	1397
3	2188	1303
4	4432	1279
5	4945	1279
6	4935	1279

prune153.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	189	3	192

Error

Counts

192 → 3

Alt Table

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

Compiler

Compiled 3690 to 963 computations (73.9% saved)

regimes134.0ms (3.3%)

Accuracy

Total 0.0b remaining (37%)

Threshold costs 0.0b (37%)

Counts

26 → 1

Compiler

Compiled 1727 to 1155 computations (33.1% 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

end47.0ms (1.2%)

Compiler: Compiled 49 to 30 computations (38.8% saved)

Details

analyze198.0ms (4.8%)

sample2.3s (55.1%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite4.0ms (0.1%)

simplify96.0ms (2.3%)

prune27.0ms (0.7%)

localize7.0ms (0.2%)

series22.0ms (0.5%)

rewrite18.0ms (0.4%)

simplify109.0ms (2.7%)

prune93.0ms (2.3%)

localize7.0ms (0.2%)

series762.0ms (18.6%)

rewrite14.0ms (0.3%)

simplify123.0ms (3%)

prune153.0ms (3.8%)

regimes134.0ms (3.3%)

simplify2.0ms (0%)

end47.0ms (1.2%)

Profiling