Details

analyze53.0ms (4.6%)

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)

sample693.0ms (60.3%)

Results

676.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess17.0ms (1.5%)

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 → 2

prune2.0ms (0.1%)

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))

series8.0ms (0.7%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(/.f64 x (+.f64 y x))	y	-inf
2.0ms	(/.f64 x (+.f64 y x))	x	0
1.0ms	(/.f64 x (+.f64 y x))	y	inf
1.0ms	(/.f64 x (+.f64 y x))	x	-inf
1.0ms	(/.f64 x (+.f64 y x))	x	inf

rewrite38.0ms (3.3%)

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

simplify26.0ms (2.2%)

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

prune25.0ms (2.2%)

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

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)))

series64.0ms (5.5%)

Counts

3 → 48

Calls

18 calls:

10.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	y	inf
9.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	x	0
9.0ms	(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)	y	-inf
7.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))	y	-inf
7.0ms	(sqrt.f64 (/.f64 x (+.f64 x y)))	y	inf

rewrite54.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	180	23
2	2205	23

Stop Event

1×	node limit

Counts

3 → 118

simplify31.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-/l*_binary64`
593×	`cancel-sign-sub-inv_binary64`
461×	`fma-def_binary64`
309×	`associate-/r/_binary64`
273×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	822
1	116	822
2	345	723
3	1507	651

Stop Event

1×	node limit

Counts

166 → 103

prune45.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Error

Counts

105 → 2

Alt Table

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

Compiler

Compiled 1283 to 548 computations (57.3% saved)

regimes45.0ms (3.9%)

Accuracy

Total 0.0b remaining (19.4%)

Threshold costs 0.0b (19.4%)

Counts

12 → 1

Compiler

Compiled 398 to 247 computations (37.9% 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

end34.0ms (2.9%)

Stop Event

1×

done

Compiler

Compiled 31 to 19 computations (38.7% saved)

Details

analyze53.0ms (4.6%)

sample693.0ms (60.3%)

preprocess17.0ms (1.5%)

simplify6.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

series8.0ms (0.7%)

rewrite38.0ms (3.3%)

simplify26.0ms (2.2%)

prune25.0ms (2.2%)

localize5.0ms (0.4%)

series64.0ms (5.5%)

rewrite54.0ms (4.7%)

simplify31.0ms (2.7%)

prune45.0ms (3.9%)

regimes45.0ms (3.9%)

simplify2.0ms (0.2%)

end34.0ms (2.9%)

Profiling