Details

analyze187.0ms (7.6%)

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)

sample48.0ms (2%)

Algorithm

1×

intervals

Results

14.0ms	45×	body	1024	valid
8.0ms	176×	body	128	valid
8.0ms	20×	body	1024	invalid
4.0ms	29×	body	512	valid
1.0ms	8×	body	512	invalid
1.0ms	6×	body	256	invalid
1.0ms	6×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
5×	`pow-prod-down_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 36

Calls

1 calls:

20.0ms

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

Compiler

Compiled 315 to 84 computations (73.3% saved)

series24.0ms (1%)

Error

Counts

1 → 12

Calls

1 calls:

19.0ms

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

Compiler

Compiled 303 to 187 computations (38.3% saved)

simplify77.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
477×	`associate-l_binary64`
412×	`cancel-sign-sub-inv_binary64`
389×	`associate-r_binary64`
247×	`distribute-rgt-out_binary64`

Counts

48 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	524
1	182	478
2	557	460
3	2206	441
4	4680	439
5	5178	439

prune15.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	20.5b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))

Compiler

Compiled 273 to 118 computations (56.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))
0.0b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
0.0b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
0.3b	(*.f64 1/6 re)

rewrite206.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`flip3-+_binary64`
31×	`pow1_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`associate-*r/_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 180

Calls

4 calls:

33.0ms	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))
20.0ms	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
17.0ms	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
15.0ms	(*.f64 1/6 re)

Compiler

Compiled 4559 to 2955 computations (35.2% saved)

series83.0ms (3.4%)

Error

Counts

4 → 39

Calls

4 calls:

40.0ms	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
13.0ms	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
9.0ms	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))
4.0ms	(*.f64 1/6 re)

Compiler

Compiled 1558 to 1155 computations (25.9% saved)

simplify125.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg_binary64`
515×	`associate-l_binary64`
495×	`associate-r_binary64`
378×	`fma-def_binary64`
212×	`distribute-rgt-in_binary64`

Counts

219 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4455
1	916	3658
2	4730	3628
3	5292	3628

prune117.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	137	2	139

Error

Counts

139 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
	20.5b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))

Compiler

Compiled 2658 to 1745 computations (34.3% saved)

regimes57.0ms (2.3%)

Accuracy

Total 0.0b remaining (2.7%)

Threshold costs 0.0b (2.7%)

Compiler

Compiled 752 to 530 computations (29.5% saved)

simplify3.0ms (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 (59.3%)

Algorithm

1×

intervals

Results

450.0ms	1328×	body	1024	valid
287.0ms	5655×	body	128	valid
179.0ms	655×	body	1024	invalid
101.0ms	646×	body	512	valid
45.0ms	333×	body	512	invalid
36.0ms	364×	body	256	valid
16.0ms	162×	body	256	invalid
11.0ms	199×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 42 to 31 computations (26.2% saved)

Details

analyze187.0ms (7.6%)

sample48.0ms (2%)

simplify9.0ms (0.4%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite32.0ms (1.3%)

series24.0ms (1%)

simplify77.0ms (3.1%)

prune15.0ms (0.6%)

localize10.0ms (0.4%)

rewrite206.0ms (8.4%)

series83.0ms (3.4%)

simplify125.0ms (5.1%)

prune117.0ms (4.8%)

regimes57.0ms (2.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (59.3%)

Profiling