Details

analyze188.0ms (6.3%)

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)

sample2.1s (71.3%)

Results

711.0ms	1409×	body	1024	valid
660.0ms	5820×	body	128	valid
296.0ms	680×	body	1024	invalid
195.0ms	685×	body	512	valid
99.0ms	361×	body	512	invalid
70.0ms	340×	body	256	valid
37.0ms	156×	body	256	invalid
24.0ms	207×	body	128	invalid
4.0ms	2×	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) (cos.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(cos.f64 im)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 29

Calls

2 calls:

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

simplify107.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-neg_binary64`
372×	`distribute-rgt-neg-in_binary64`
371×	`cancel-sign-sub-inv_binary64`
334×	`sub-neg_binary64`
289×	`*-commutative_binary64`

Counts

41 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	522
1	198	475
2	556	445
3	1489	430
4	2711	430
5	4561	430
6	4969	430
7	4997	430
8	4877	430

prune34.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Status	Error	Program
	12.6b	(.f64 (exp.f64 re) (.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im))))
▶	0.1b	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 733 to 302 computations (58.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
	0.0b	(cos.f64 im)
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 im)))
✓	0.6b	(expm1.f64 (cos.f64 im))

series12.0ms (0.4%)

Counts

3 → 48

Calls

3 calls:

7.0ms	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
3.0ms	(expm1.f64 (cos.f64 im))
1.0ms	(log1p.f64 (expm1.f64 (cos.f64 im)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`pow1_binary64`

Counts

3 → 42

Calls

3 calls:

3.0ms	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
0.0ms	(expm1.f64 (cos.f64 im))
0.0ms	(log1p.f64 (expm1.f64 (cos.f64 im)))

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
484×	`sub-neg_binary64`
307×	`fma-def_binary64`
293×	`associate-l_binary64`
242×	`associate-r_binary64`

Counts

90 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	900
1	263	832
2	762	798
3	2136	774
4	4525	774
5	5065	774

prune55.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Error

Counts

113 → 3

Alt Table

Status	Error	Program
▶	12.6b	(.f64 (exp.f64 re) (.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im))))
✓	0.1b	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 1402 to 577 computations (58.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
✓	0.0b	(sqrt.f64 (cos.f64 im))
✓	0.1b	(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))

series9.0ms (0.3%)

Counts

2 → 16

Calls

2 calls:

6.0ms	(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
2.0ms	(sqrt.f64 (cos.f64 im))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

5.0ms	(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
1.0ms	(sqrt.f64 (cos.f64 im))

simplify122.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

567×	`unswap-sqr_binary64`
474×	`fma-def_binary64`
404×	`sub-neg_binary64`
334×	`distribute-rgt-neg-in_binary64`
326×	`cancel-sign-sub-inv_binary64`

Counts

84 → 86

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	76	610
1	151	574
2	392	560
3	1044	526
4	2489	526
5	4044	526
6	4389	512
7	4785	504
8	4956	504
9	4898	504

prune73.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

Counts

146 → 3

Alt Table

Status	Error	Program
✓	12.6b	(.f64 (exp.f64 re) (.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im))))
✓	0.1b	(*.f64 (exp.f64 re) (log1p.f64 (expm1.f64 (cos.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 2128 to 786 computations (63.1% saved)

regimes42.0ms (1.4%)

Accuracy

Total 0.0b remaining (22.7%)

Threshold costs 0.0b (22.7%)

Counts

8 → 1

Compiler

Compiled 437 to 305 computations (30.2% 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

end89.0ms (3%)

Compiler: Compiled 42 to 29 computations (31% saved)

Details

analyze188.0ms (6.3%)

sample2.1s (71.3%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series10.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify107.0ms (3.6%)

prune34.0ms (1.1%)

localize8.0ms (0.3%)

series12.0ms (0.4%)

rewrite5.0ms (0.2%)

simplify69.0ms (2.3%)

prune55.0ms (1.8%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite10.0ms (0.3%)

simplify122.0ms (4.1%)

prune73.0ms (2.5%)

regimes42.0ms (1.4%)

simplify2.0ms (0.1%)

end89.0ms (3%)

Profiling