Details

analyze68.0ms (5.7%)

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
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)

sample824.0ms (69.2%)

Results

788.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite36.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
61×	`add-sqr-sqrt_binary64`
58×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1734	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

36.0ms

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

simplify22.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

384×	`associate-/l*_binary64`
333×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
252×	`fma-def_binary64`
233×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	438
1	78	438
2	222	387
3	962	345

Stop Event

1×	node limit

Counts

59 → 48

prune22.0ms (1.9%)

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
▶	0.1b	(*.f64 x (/.f64 1 (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 564 to 237 computations (58% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.1b	(*.f64 x (/.f64 1 (+.f64 x y)))

series14.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

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

rewrite43.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
484×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
71×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	151	14
2	2034	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

2 calls:

42.0ms	(/.f64 1 (+.f64 x y))
42.0ms	(*.f64 x (/.f64 1 (+.f64 x y)))

simplify33.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-/l*_binary64`
537×	`associate-/r*_binary64`
452×	`cancel-sign-sub-inv_binary64`
426×	`fma-def_binary64`
275×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	912
1	120	912
2	357	825
3	1494	750

Stop Event

1×	node limit

Counts

99 → 78

prune41.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Error

Counts

80 → 2

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (/.f64 1 (+.f64 x y)))
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 914 to 462 computations (49.5% saved)

regimes24.0ms (2%)

Accuracy

Total 0.0b remaining (36.8%)

Threshold costs 0.0b (36.8%)

Counts

6 → 1

Compiler

Compiled 155 to 103 computations (33.5% 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

Stop Event

1×

saturated

end37.0ms (3.1%)

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

Details

analyze68.0ms (5.7%)

sample824.0ms (69.2%)

simplify7.0ms (0.6%)

prune3.0ms (0.2%)

localize3.0ms (0.3%)

series7.0ms (0.6%)

rewrite36.0ms (3.1%)

simplify22.0ms (1.8%)

prune22.0ms (1.9%)

localize5.0ms (0.4%)

series14.0ms (1.2%)

rewrite43.0ms (3.6%)

simplify33.0ms (2.7%)

prune41.0ms (3.4%)

regimes24.0ms (2%)

simplify2.0ms (0.2%)

end37.0ms (3.1%)

Profiling