Details

analyze174.0ms (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%	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)

sample62.0ms (2.8%)

Algorithm

1×

intervals

Results

14.0ms	44×	body	1024	valid
8.0ms	181×	body	128	valid
7.0ms	27×	body	1024	invalid
3.0ms	23×	body	512	valid
2.0ms	16×	body	512	invalid
1.0ms	8×	body	256	valid
1.0ms	6×	body	256	invalid
0.0ms	6×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify6.0ms (0.3%)

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 (0.1%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.6%)

Counts

1 → 8

Calls

1 calls:

13.0ms

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

simplify98.0ms (4.4%)

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

prune22.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Alt Table

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

Compiler

Compiled 517 to 200 computations (61.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 im) (exp.f64 re))
✓	0.2b	(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 3))

series45.0ms (2%)

Counts

3 → 72

Calls

3 calls:

29.0ms	(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))

rewrite13.0ms (0.6%)

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 (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))

simplify100.0ms (4.4%)

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

prune58.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Alt Table

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

Compiler

Compiled 1605 to 755 computations (53% saved)

regimes93.0ms (4.1%)

Accuracy

Total 0.0b remaining (19.4%)

Threshold costs 0.0b (19.4%)

Counts

5 → 1

Compiler

Compiled 257 to 180 computations (30% 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

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample1.5s (68.8%)

Algorithm

1×

intervals

Results

467.0ms	1347×	body	1024	valid
275.0ms	5606×	body	128	valid
181.0ms	635×	body	1024	invalid
108.0ms	694×	body	512	valid
55.0ms	354×	body	512	invalid
35.0ms	350×	body	256	valid
20.0ms	174×	body	256	invalid
10.0ms	173×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 34 to 26 computations (23.5% saved)

Details

analyze174.0ms (7.7%)

sample62.0ms (2.8%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.6%)

rewrite5.0ms (0.2%)

simplify98.0ms (4.4%)

prune22.0ms (1%)

localize6.0ms (0.3%)

series45.0ms (2%)

rewrite13.0ms (0.6%)

simplify100.0ms (4.4%)

prune58.0ms (2.6%)

regimes93.0ms (4.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (68.8%)

Profiling