Details

analyze1.1s (31.7%)

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
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Compiler

Compiled 15 to 9 computations (40% saved)

sample1.9s (56.9%)

Results

1.5s	7676×	body	128	valid
125.0ms	210×	body	1024	valid
84.0ms	171×	body	512	valid
71.0ms	93×	body	2048	valid
35.0ms	106×	body	256	valid
3.0ms	19×	body	128	invalid

Compiler

Compiled 44 to 26 computations (40.9% saved)

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

141×	`associate-+l+_binary64`
75×	`associate-+r+_binary64`
54×	`fma-def_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	21	13
2	58	11
3	128	11
4	173	9
5	199	9
6	205	9
7	201	9

prune10.0ms (0.3%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

series12.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(fma.f64 x 3 (fma.f64 y 2 z))

rewrite71.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
313×	`log-prod_binary64`
141×	`expm1-udef_binary64`
141×	`log1p-udef_binary64`

Counts

1 → 30

Calls

1 calls:

69.0ms

(fma.f64 x 3 (fma.f64 y 2 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	161	9
2	1695	9
3	5219	9
0	0	0
1	0	0

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Counts

66 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	335
1	22	279
2	32	279
3	34	279
4	34	279

prune52.0ms (1.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Error

Counts

42 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 459 to 316 computations (31.2% saved)

regimes96.0ms (2.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

10 → 1

Compiler

Compiled 368 to 262 computations (28.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end77.0ms (2.3%)

Compiler: Compiled 30 to 21 computations (30% saved)

Details

analyze1.1s (31.7%)

sample1.9s (56.9%)

simplify17.0ms (0.5%)

prune10.0ms (0.3%)

localize15.0ms (0.4%)

series12.0ms (0.3%)

rewrite71.0ms (2.1%)

simplify28.0ms (0.8%)

prune52.0ms (1.5%)

regimes96.0ms (2.9%)

simplify3.0ms (0.1%)

end77.0ms (2.3%)

Profiling