Details

analyze41.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample634.0ms (60.1%)

Results

624.0ms	8256×	body	256	valid
0.0ms	6×	body	256	infinite

Bogosity

preprocess15.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

8×	`fma-def`
6×	`associate-+l+`
6×	`+-commutative`
4×	`associate-+r+`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	12	26
2	18	26
3	21	18
4	26	18
5	28	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) y)

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 x y))
(+.f64 x (+.f64 y y))
(fma.f64 2 y x)
(fma.f64 y 2 x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`+-commutative`
2×	`associate-+r+`
2×	`*-commutative`
2×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	11	13
3	13	9
4	16	9
5	17	9

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 x 2 y)

eval1.0ms (0.1%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Accurracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 2 y)
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize4.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (+.f64 x y) x)
0.0ms	y	@	0	(+.f64 (+.f64 x y) x)
0.0ms	x	@	0	(+.f64 (+.f64 x y) x)
0.0ms	y	@	inf	(+.f64 (+.f64 x y) x)
0.0ms	x	@	-inf	(+.f64 (+.f64 x y) x)

rewrite123.0ms (11.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1596×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	138	13
2	2046	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

Outputs
(((-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1) (2)) ((-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (.f64 x x) (+.f64 x (-.f64 y x)))) (2)) ((.f64 (+.f64 x (+.f64 x y)) 1) (2)) ((.f64 1 (+.f64 x (+.f64 x y))) (2)) ((.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y)))) (2)) ((.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2)) (2)) ((.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y)))) (2)) ((.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x)))) (2)) ((.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y)))))) (2)) ((/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x)))) (2)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))) (2)) ((/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x)) (+.f64 x (-.f64 y x))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y))))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (+.f64 x y))))) (2)) ((/.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y))) (2)) ((/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x)))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y)))))) (2)) ((pow.f64 (+.f64 x (+.f64 x y)) 1) (2)) ((pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2) (2)) ((pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3) (2)) ((pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2)) (2)) ((log.f64 (exp.f64 (+.f64 x (+.f64 x y)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y))))) (2)) ((cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3)) (2)) ((expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) (2)) ((exp.f64 (log.f64 (+.f64 x (+.f64 x y)))) (2)) ((exp.f64 (.f64 (log.f64 (+.f64 x (+.f64 x y))) 1)) (2)) ((log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y)))) (2)) ((fma.f64 1 x (+.f64 x y)) (2)) ((fma.f64 1 (+.f64 x y) x) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y)) (2)) ((fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x) (2)))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1) (2)) ((-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x)))) (2)) ((*.f64 (+.f64 x (+.f64 x y)) 1) (2)) ((*.f64 1 (+.f64 x (+.f64 x y))) (2)) ((*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y)))) (2)) ((*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y)))) (2)) ((*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x)))) (2)) ((*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))) (2)) ((/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)))) (2)) ((/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))) (2)) ((/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (+.f64 x y))))) (2)) ((/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y))) (2)) ((/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x)))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))) (2)) ((pow.f64 (+.f64 x (+.f64 x y)) 1) (2)) ((pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2) (2)) ((pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3) (2)) ((pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2)) (2)) ((log.f64 (exp.f64 (+.f64 x (+.f64 x y)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y))))) (2)) ((cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3)) (2)) ((expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) (2)) ((exp.f64 (log.f64 (+.f64 x (+.f64 x y)))) (2)) ((exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1)) (2)) ((log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y)))) (2)) ((fma.f64 1 x (+.f64 x y)) (2)) ((fma.f64 1 (+.f64 x y) x) (2)) ((fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y)) (2)) ((fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x) (2)))

simplify56.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-r`
1228×	`associate-l`
940×	`associate--r+`
730×	`associate-+l-`
726×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1025
1	233	885
2	908	783
3	5956	783

Stop Event

1×	node limit

Counts

59 → 46

Calls

Call 1

Inputs
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(*.f64 2 x)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
y
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(+.f64 (*.f64 2 x) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(*.f64 1 (+.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 1 x (+.f64 x y))
(fma.f64 1 (+.f64 x y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)

Outputs
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
y
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(+.f64 (*.f64 2 x) y)
(fma.f64 2 x y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x y)))) 1)
(fma.f64 2 x y)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(*.f64 (+.f64 x (+.f64 x y)) 1)
(fma.f64 2 x y)
(*.f64 1 (+.f64 x (+.f64 x y)))
(fma.f64 2 x y)
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
(fma.f64 2 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2) (cbrt.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x x)) (/.f64 1 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 x (+.f64 x y)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x y) 2)) (-.f64 x (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x x))) (neg.f64 (+.f64 x (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 x x)) (+.f64 x (-.f64 y x)))
(/.f64 (*.f64 (fma.f64 2 x y) (+.f64 y 0)) (+.f64 y 0))
(/.f64 (fma.f64 2 x y) (/.f64 y y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 x (-.f64 x (+.f64 x y))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 x (-.f64 x (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x (-.f64 0 y) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (+.f64 x (+.f64 x y)) 1)
(fma.f64 2 x y)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) 2)
(fma.f64 2 x y)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 3)
(fma.f64 2 x y)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3) 1/3)
(fma.f64 2 x y)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 2))
(fma.f64 2 x y)
(log.f64 (exp.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x y)))))
(fma.f64 2 x y)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
(fma.f64 2 x y)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(exp.f64 (log.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x y))) 1))
(fma.f64 2 x y)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x y))))
(fma.f64 2 x y)
(fma.f64 1 x (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 1 (+.f64 x y) x)
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x y))
(fma.f64 2 x y)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) x)
(fma.f64 2 x y)

localize4.0ms (0.3%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval7.0ms (0.7%)

Compiler: Compiled 553 to 212 computations (61.7% saved)

prune47.0ms (4.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	45	3	48

Accurracy

100.0%

Counts

48 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 2 x) y)
▶	54.6%	(+.f64 x x)
	47.0%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.5%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	54.6%	(+.f64 x x)
	47.0%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	54.6%	(+.f64 x x)
	47.0%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 2 x) y)
✓	54.6%	(+.f64 x x)
	47.0%	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes17.0ms (1.6%)

Counts

5 → 1

Calls

Call 1

Inputs
y
(+.f64 x x)
(+.f64 (*.f64 2 x) y)
(+.f64 (+.f64 x y) x)
(fma.f64 x 2 y)

Outputs
(+.f64 (*.f64 2 x) y)

Calls

3 calls:

8.0ms	y
4.0ms	(+.f64 (+.f64 x y) x)
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 33 to 18 computations (45.5% saved)

regimes33.0ms (3.1%)

Accuracy

Total -50.0b remaining (-423.2%)

Threshold costs -50b (-423.2%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(+.f64 x x)

Outputs
y
(+.f64 x x)
y

Calls

2 calls:

21.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
75.5%	7	`x`
81.5%	3	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch23.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.1201536097486835e+30	3.369229458712237e+34
13.0ms	-8.486372482158403e+68	-1.5380343927792534e+62

Results

20.0ms

272×

body

256

valid

Compiler

Compiled 182 to 127 computations (30.2% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	24	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 y -369999999999999994735040297520000578918301917922599853403110637568) y (if (<=.f64 y 7200000000000000368349280206848) (+.f64 x x) y))
y

Outputs
(+.f64 (*.f64 2 x) y)
(if (<=.f64 y -369999999999999994735040297520000578918301917922599853403110637568) y (if (<=.f64 y 7200000000000000368349280206848) (+.f64 x x) y))
y

Compiler

Compiled 25 to 16 computations (36% saved)

soundness0.0ms (0%)

end21.0ms (2%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

Details

analyze41.0ms (3.8%)

sample634.0ms (60.1%)

preprocess15.0ms (1.5%)

simplify11.0ms (1.1%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize4.0ms (0.4%)

series1.0ms (0.1%)

rewrite123.0ms (11.6%)

simplify56.0ms (5.3%)

localize4.0ms (0.3%)

eval7.0ms (0.7%)

prune47.0ms (4.5%)

localize3.0ms (0.2%)

localize5.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes17.0ms (1.6%)

regimes33.0ms (3.1%)

bsearch23.0ms (2.2%)

simplify5.0ms (0.4%)

soundness0.0ms (0%)

end21.0ms (2%)

Profiling