Details

analyze537.0ms (26.7%)

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)

sample940.0ms (46.8%)

Results

756.0ms	7715×	body	128	valid
61.0ms	212×	body	1024	valid
39.0ms	160×	body	512	valid
32.0ms	84×	body	2048	valid
13.0ms	85×	body	256	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 44 to 26 computations (40.9% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

123×	`associate-+l+_binary64`
62×	`associate-+r+_binary64`
54×	`fma-def_binary64`
15×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	13
2	67	11
3	181	11
4	292	9
5	320	9
6	326	9

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

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 3 (fma.f64 y 2 z))

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite38.0ms (1.9%)

Algorithm

1×	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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	161	9
2	1756	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

1 calls:

37.0ms

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

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 41

prune29.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Status	Error	Program
▶	30.3b	(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 485 to 336 computations (30.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))
✓	0.0b	(sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))
✓	0.3b	(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)

series154.0ms (7.7%)

Counts

2 → 24

Calls

2 calls:

116.0ms	(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)
38.0ms	(sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))

rewrite40.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`log1p-expm1-u_binary64`
726×	`expm1-log1p-u_binary64`
154×	`log1p-udef_binary64`
98×	`prod-diff_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	202	20
2	2018	20

Stop Event

1×	node limit

Counts

2 → 48

Calls

2 calls:

39.0ms	(sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))
39.0ms	(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)

simplify42.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-neg_binary64`
420×	`*-commutative_binary64`
290×	`cancel-sign-sub-inv_binary64`
256×	`fma-def_binary64`
198×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	610
1	235	562
2	643	546
3	2179	541
4	4493	540

Stop Event

1×	node limit

Counts

72 → 80

prune67.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Error

Counts

123 → 2

Alt Table

Status	Error	Program
✓	30.3b	(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)
✓	0.0b	(fma.f64 x 3 (fma.f64 y 2 z))

Compiler

Compiled 2056 to 1529 computations (25.6% saved)

regimes71.0ms (3.5%)

Accuracy

Total 0.0b remaining (28.6%)

Threshold costs 0.0b (28.6%)

Counts

18 → 1

Compiler

Compiled 720 to 542 computations (24.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9

Stop Event

1×

saturated

end48.0ms (2.4%)

Compiler: Compiled 43 to 31 computations (27.9% saved)

Details

analyze537.0ms (26.7%)

sample940.0ms (46.8%)

simplify10.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series6.0ms (0.3%)

rewrite38.0ms (1.9%)

simplify11.0ms (0.6%)

prune29.0ms (1.4%)

localize7.0ms (0.3%)

series154.0ms (7.7%)

rewrite40.0ms (2%)

simplify42.0ms (2.1%)

prune67.0ms (3.4%)

regimes71.0ms (3.5%)

simplify2.0ms (0.1%)

end48.0ms (2.4%)

Profiling