Details

analyze191.0ms (6.5%)

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 (71.4%)

Results

732.0ms	1409×	body	1024	valid
620.0ms	5818×	body	128	valid
309.0ms	690×	body	1024	invalid
193.0ms	668×	body	512	valid
97.0ms	354×	body	512	invalid
70.0ms	360×	body	256	valid
31.0ms	158×	body	256	invalid
20.0ms	175×	body	128	invalid
1.0ms	1×	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 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

7.0ms

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

rewrite39.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`
330×	`unpow-prod-down_binary64`
280×	`log-prod_binary64`
150×	`pow2_binary64`

Counts

1 → 18

Calls

1 calls:

38.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1285	8
3	4983	8
0	0	0
1	0	0

simplify82.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-neg_binary64`
720×	`fma-def_binary64`
580×	`distribute-rgt-neg-in_binary64`
544×	`cancel-sign-sub-inv_binary64`
331×	`neg-mul-1_binary64`

Counts

26 → 32

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	166
1	106	160
2	286	142
3	883	122
4	2140	118
5	3874	118
6	4468	118
7	4986	118
8	4860	118

prune19.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	21.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))

Compiler

Compiled 410 to 198 computations (51.7% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 im) (pow.f64 re 2))
✓	0.1b	(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
✓	0.1b	(*.f64 (cos.f64 im) re)
✓	10.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))

series57.0ms (1.9%)

Counts

4 → 27

Calls

4 calls:

24.0ms	(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))
14.0ms	(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
9.0ms	(*.f64 (cos.f64 im) (pow.f64 re 2))
9.0ms	(*.f64 (cos.f64 im) re)

rewrite77.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

342×	`log1p-udef_binary64`
193×	`add-sqr-sqrt_binary64`
191×	`log1p-expm1-u_binary64`
191×	`expm1-log1p-u_binary64`
182×	`add-cbrt-cube_binary64`

Counts

4 → 83

Calls

4 calls:

75.0ms	(*.f64 (cos.f64 im) (pow.f64 re 2))
75.0ms	(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
75.0ms	(*.f64 (cos.f64 im) re)
75.0ms	(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	407	62
2	4758	62
3	5178	62
0	0	0
1	0	0

simplify79.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-l_binary64`
448×	`associate-r_binary64`
421×	`associate--r+_binary64`
408×	`associate--l+_binary64`
370×	`cancel-sign-sub-inv_binary64`

Counts

110 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	865
1	359	825
2	1286	709
3	4862	709
4	4987	709
5	4974	709

prune140.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Error

0.0b

Counts

127 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	21.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))

Compiler

Compiled 4317 to 2340 computations (45.8% saved)

regimes76.0ms (2.6%)

Accuracy

Total 0.0b remaining (35.4%)

Threshold costs 0.0b (35.4%)

Counts

15 → 1

Compiler

Compiled 1317 to 825 computations (37.4% 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

end46.0ms (1.6%)

Compiler: Compiled 48 to 32 computations (33.3% saved)

Details

analyze191.0ms (6.5%)

sample2.1s (71.4%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite39.0ms (1.3%)

simplify82.0ms (2.8%)

prune19.0ms (0.6%)

localize15.0ms (0.5%)

series57.0ms (1.9%)

rewrite77.0ms (2.6%)

simplify79.0ms (2.7%)

prune140.0ms (4.8%)

regimes76.0ms (2.6%)

simplify2.0ms (0.1%)

end46.0ms (1.6%)

Profiling