Details

analyze50.0ms (4.5%)

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)

sample685.0ms (61.9%)

Results

656.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify9.0ms (0.9%)

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)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite5.0ms (0.4%)

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))

simplify61.0ms (5.5%)

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

prune23.0ms (2.1%)

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
▶	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 609 to 216 computations (64.5% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))

series18.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 x y))
8.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite14.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 82

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))
3.0ms	(/.f64 1 (+.f64 x y))

simplify114.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

659×	`cancel-sign-sub-inv_binary64`
509×	`div-sub_binary64`
448×	`fma-neg_binary64`
275×	`sub-neg_binary64`
248×	`times-frac_binary64`

Counts

130 → 125

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	117	1797
1	268	1704
2	763	1617
3	2440	1593
4	4258	1593
5	4870	1569
6	5556	1569

prune51.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Error

Counts

127 → 2

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 1742 to 819 computations (53% saved)

regimes22.0ms (2%)

Accuracy

Total 0.0b remaining (25.6%)

Threshold costs 0.0b (25.6%)

Counts

7 → 1

Compiler

Compiled 218 to 136 computations (37.6% saved)

simplify2.0ms (0.2%)

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

end33.0ms (3%)

Compiler: Compiled 30 to 18 computations (40% saved)

Details

analyze50.0ms (4.5%)

sample685.0ms (61.9%)

simplify9.0ms (0.9%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series9.0ms (0.8%)

rewrite5.0ms (0.4%)

simplify61.0ms (5.5%)

prune23.0ms (2.1%)

localize4.0ms (0.4%)

series18.0ms (1.6%)

rewrite14.0ms (1.3%)

simplify114.0ms (10.3%)

prune51.0ms (4.6%)

regimes22.0ms (2%)

simplify2.0ms (0.2%)

end33.0ms (3%)

Profiling