Details

analyze450.0ms (26.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample935.0ms (54.6%)

Results

767.0ms	7966×	body	128	valid
58.0ms	649×	body	128	invalid
41.0ms	154×	body	1024	valid
20.0ms	92×	body	512	valid
6.0ms	43×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	20	11
2	31	11
3	45	11
4	54	11
5	55	11
6	53	11

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

rewrite49.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
591×	`prod-diff_binary64`
87×	`add-sqr-sqrt_binary64`
81×	`add-log-exp_binary64`

Counts

1 → 24

Calls

1 calls:

48.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2091	11
3	6184	11
0	0	0
1	0	0

simplify14.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

60 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	378
1	27	348
2	39	348
3	53	348
4	53	348

prune20.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.0b

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 416 to 204 computations (51% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 z y))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

series14.0ms (0.8%)

Counts

2 → 72

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 z y))
7.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

rewrite50.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

900×	`expm1-log1p-u_binary64`
813×	`prod-diff_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`log1p-expm1-u_binary64`
85×	`add-log-exp_binary64`

Counts

2 → 52

Calls

2 calls:

49.0ms	(*.f64 x (+.f64 z y))
49.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	176	18
2	2225	18
3	5414	18
0	0	0
1	0	0

simplify18.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

124 → 65

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	609
1	29	582
2	44	582
3	53	582
4	53	582

prune32.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	2	67

Error

0.0b

Counts

67 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 803 to 350 computations (56.4% saved)

regimes57.0ms (3.3%)

Accuracy

Total 0.0b remaining (41.7%)

Threshold costs 0.0b (41.7%)

Counts

15 → 1

Compiler

Compiled 560 to 386 computations (31.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end42.0ms (2.4%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

Details

analyze450.0ms (26.3%)

sample935.0ms (54.6%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

series7.0ms (0.4%)

rewrite49.0ms (2.9%)

simplify14.0ms (0.8%)

prune20.0ms (1.2%)

localize5.0ms (0.3%)

series14.0ms (0.8%)

rewrite50.0ms (2.9%)

simplify18.0ms (1.1%)

prune32.0ms (1.8%)

regimes57.0ms (3.3%)

simplify2.0ms (0.1%)

end42.0ms (2.4%)

Profiling