Details

analyze60.0ms (5.1%)

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)

sample717.0ms (60.8%)

Results

705.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess23.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	8	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify6.0ms (0.5%)

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 → 1

prune5.0ms (0.4%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(/.f64 x (+.f64 x y))	x	0
1.0ms	(/.f64 x (+.f64 x y))	y	-inf
1.0ms	(/.f64 x (+.f64 x y))	y	inf
1.0ms	(/.f64 x (+.f64 x y))	x	inf
1.0ms	(/.f64 x (+.f64 x y))	x	-inf

rewrite36.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`log1p-expm1-u_binary64`
671×	`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	1742	7

Stop Event

1×	node limit

Counts

1 → 35

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

prune27.0ms (2.3%)

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
▶	11.6b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 566 to 239 computations (57.8% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓	6.2b	(sqrt.f64 (/.f64 x (+.f64 x y)))

series48.0ms (4.1%)

Counts

2 → 24

Calls

12 calls:

11.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	x	0
8.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	y	-inf
7.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	y	inf
5.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))	x	0
5.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))	y	-inf

rewrite50.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	180	16
2	2205	16

Stop Event

1×	node limit

Counts

2 → 78

simplify29.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-/l*_binary64`
455×	`cancel-sign-sub-inv_binary64`
369×	`associate-*l/_binary64`
355×	`associate-/r*_binary64`
337×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	384
1	87	384
2	255	336
3	1066	306

Stop Event

1×	node limit

Counts

102 → 90

prune66.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Alt Table

Status	Error	Program
✓	11.6b	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
✓	0.0b	(/.f64 x (+.f64 x y))

Compiler

Compiled 1772 to 763 computations (56.9% saved)

regimes38.0ms (3.2%)

Accuracy

Total 0.0b remaining (19.4%)

Threshold costs 0.0b (19.4%)

Counts

13 → 1

Compiler

Compiled 416 to 265 computations (36.3% 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

end35.0ms (3%)

Stop Event

1×

done

Compiler

Compiled 31 to 19 computations (38.7% saved)

Details

analyze60.0ms (5.1%)

sample717.0ms (60.8%)

preprocess23.0ms (1.9%)

simplify6.0ms (0.5%)

prune5.0ms (0.4%)

localize3.0ms (0.3%)

series7.0ms (0.6%)

rewrite36.0ms (3%)

simplify22.0ms (1.8%)

prune27.0ms (2.3%)

localize5.0ms (0.4%)

series48.0ms (4.1%)

rewrite50.0ms (4.2%)

simplify29.0ms (2.5%)

prune66.0ms (5.6%)

regimes38.0ms (3.2%)

simplify2.0ms (0.2%)

end35.0ms (3%)

Profiling