Details

analyze252.0ms (7.2%)

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)

sample2.2s (63.4%)

Results

706.0ms	5906×	body	128	valid
692.0ms	1324×	body	1024	valid
336.0ms	727×	body	1024	invalid
197.0ms	649×	body	512	valid
97.0ms	336×	body	512	invalid
79.0ms	373×	body	256	valid
35.0ms	179×	body	256	invalid
25.0ms	183×	body	128	invalid
4.0ms	4×	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

prune2.0ms (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))

rewrite5.0ms (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))

simplify107.0ms (3.1%)

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

prune21.0ms (0.6%)

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))
▶	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 515 to 198 computations (61.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series658.0ms (18.8%)

Counts

2 → 48

Calls

2 calls:

649.0ms	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
8.0ms	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

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

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

796×	`times-frac_binary64`
560×	`associate-/l*_binary64`
372×	`fma-def_binary64`
334×	`associate-/r*_binary64`
221×	`fma-neg_binary64`

Counts

70 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1232
1	351	1170
2	1217	1116
3	4960	1116
4	5115	1116

prune57.0ms (1.6%)

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))
✓	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 1872 to 842 computations (55% saved)

regimes35.0ms (1%)

Accuracy

Total 0.0b remaining (15.2%)

Threshold costs 0.0b (15.2%)

Counts

6 → 1

Compiler

Compiled 222 to 170 computations (23.4% 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

end42.0ms (1.2%)

Compiler: Compiled 30 to 22 computations (26.7% saved)

Details

analyze252.0ms (7.2%)

sample2.2s (63.4%)

simplify6.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify107.0ms (3.1%)

prune21.0ms (0.6%)

localize7.0ms (0.2%)

series658.0ms (18.8%)

rewrite1.0ms (0%)

simplify72.0ms (2.1%)

prune57.0ms (1.6%)

regimes35.0ms (1%)

simplify2.0ms (0.1%)

end42.0ms (1.2%)

Profiling