Details

analyze345.0ms (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)

sample3.6s (52.2%)

Results

1.2s	1351×	body	1024	valid
1.1s	5844×	body	128	valid
556.0ms	716×	body	1024	invalid
355.0ms	718×	body	512	valid
159.0ms	343×	body	512	invalid
120.0ms	341×	body	256	valid
61.0ms	177×	body	256	invalid
42.0ms	219×	body	128	invalid
4.0ms	2×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify9.0ms (0.1%)

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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

12.0ms

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

rewrite59.0ms (0.9%)

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 → 17

Calls

1 calls:

58.0ms

(*.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

simplify109.0ms (1.6%)

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

25 → 31

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

prune35.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
	18.3b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
▶	11.0b	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)

Compiler

Compiled 389 to 194 computations (50.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
✓	0.3b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

series1.3s (18.4%)

Counts

2 → 48

Calls

2 calls:

1.2s	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
41.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite56.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
150×	`expm1-udef_binary64`
150×	`log1p-udef_binary64`
86×	`add-sqr-sqrt_binary64`

Counts

2 → 55

Calls

2 calls:

54.0ms	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
54.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	190	19
2	1955	19
3	4881	19
0	0	0
1	0	0

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-neg_binary64`
489×	`associate-l_binary64`
463×	`associate-r_binary64`
394×	`fma-def_binary64`
386×	`unswap-sqr_binary64`

Counts

103 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	746
1	205	728
2	720	678
3	2676	663
4	4982	663

prune112.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Error

Counts

117 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	18.3b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	11.0b	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)

Compiler

Compiled 1684 to 866 computations (48.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (cos.f64 im)))
✓	0.0b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	0.9b	(log.f64 (cos.f64 im))

series861.0ms (12.4%)

Counts

3 → 52

Calls

3 calls:

303.0ms	(+.f64 re (log.f64 (cos.f64 im)))
303.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
255.0ms	(log.f64 (cos.f64 im))

rewrite48.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
480×	`prod-diff_binary64`
78×	`egg-rr`
73×	`add-sqr-sqrt_binary64`

Counts

3 → 78

Calls

3 calls:

46.0ms	(+.f64 re (log.f64 (cos.f64 im)))
46.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
46.0ms	(log.f64 (cos.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	141	21
2	1764	21
3	5170	21
0	0	0
1	0	0

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg_binary64`
570×	`sub-neg_binary64`
516×	`distribute-rgt-neg-in_binary64`
446×	`distribute-lft-neg-in_binary64`
367×	`*-commutative_binary64`

Counts

130 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	597
1	177	559
2	500	535
3	1614	516
4	3372	516
5	4557	516
6	4702	516
7	4976	516
8	4906	516

prune56.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Error

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	18.3b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
✓	11.0b	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)

Compiler

Compiled 1333 to 605 computations (54.6% saved)

regimes62.0ms (0.9%)

Accuracy

Total 0.0b remaining (31.5%)

Threshold costs 0.0b (31.5%)

Counts

14 → 1

Compiler

Compiled 612 to 455 computations (25.7% saved)

simplify2.0ms (0%)

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

end48.0ms (0.7%)

Compiler: Compiled 40 to 30 computations (25% saved)

Details

analyze345.0ms (5%)

sample3.6s (52.2%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

series12.0ms (0.2%)

rewrite59.0ms (0.9%)

simplify109.0ms (1.6%)

prune35.0ms (0.5%)

localize13.0ms (0.2%)

series1.3s (18.4%)

rewrite56.0ms (0.8%)

simplify71.0ms (1%)

prune112.0ms (1.6%)

localize9.0ms (0.1%)

series861.0ms (12.4%)

rewrite48.0ms (0.7%)

simplify114.0ms (1.7%)

prune56.0ms (0.8%)

regimes62.0ms (0.9%)

simplify2.0ms (0%)

end48.0ms (0.7%)

Profiling