Details

analyze55.0ms (3.8%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample707.0ms (48.9%)

Results

679.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune1.0ms (0.1%)

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 x (+.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))

series9.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 x (+.f64 x y))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 35

Calls

1 calls:

3.0ms

(/.f64 x (+.f64 x y))

simplify68.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
598×	`fma-def_binary64`
529×	`associate-/r*_binary64`
408×	`associate-/l/_binary64`
314×	`associate-/r/_binary64`

Counts

59 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	914
1	184	884
2	478	833
3	1565	791
4	4962	791
5	5351	791

prune29.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
▶	30.6b	(*.f64 (/.f64 x y) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 627 to 218 computations (65.2% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 x y) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y)))
✓	0.1b	(fma.f64 (/.f64 x y) (/.f64 x y) 1)
✓	3.0b	(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))

series52.0ms (3.6%)

Counts

3 → 72

Calls

3 calls:

22.0ms	(*.f64 (/.f64 x y) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y)))
20.0ms	(fma.f64 (/.f64 x y) (/.f64 x y) 1)
9.0ms	(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))

rewrite55.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`add-sqr-sqrt_binary64`
139×	`*-un-lft-identity_binary64`
135×	`add-cube-cbrt_binary64`
120×	`times-frac_binary64`
117×	`prod-diff_binary64`

Counts

3 → 231

Calls

3 calls:

12.0ms	(*.f64 (/.f64 x y) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y)))
9.0ms	(-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y))
0.0ms	(fma.f64 (/.f64 x y) (/.f64 x y) 1)

simplify213.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

566×	`times-frac_binary64`
438×	`associate-l_binary64`
413×	`associate-r_binary64`
384×	`exp-prod_binary64`
327×	`*-commutative_binary64`

Counts

303 → 292

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	9716
1	960	6950
2	2586	6122
3	4400	6122
4	5008	6122

prune150.0ms (10.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	292	2	294

Error

Counts

294 → 2

Alt Table

Status	Error	Program
✓	30.6b	(*.f64 (/.f64 x y) (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (/.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 11547 to 3213 computations (72.2% saved)

regimes47.0ms (3.3%)

Accuracy

Total 0.0b remaining (21.4%)

Threshold costs 0.0b (21.4%)

Counts

14 → 1

Compiler

Compiled 551 to 289 computations (47.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end37.0ms (2.5%)

Compiler: Compiled 39 to 19 computations (51.3% saved)

Details

analyze55.0ms (3.8%)

sample707.0ms (48.9%)

simplify8.0ms (0.6%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series9.0ms (0.6%)

rewrite5.0ms (0.3%)

simplify68.0ms (4.7%)

prune29.0ms (2%)

localize6.0ms (0.4%)

series52.0ms (3.6%)

rewrite55.0ms (3.8%)

simplify213.0ms (14.7%)

prune150.0ms (10.4%)

regimes47.0ms (3.3%)

simplify2.0ms (0.1%)

end37.0ms (2.5%)

Profiling