Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

sample648.0ms (38.9%)

Results

468.0ms	6136×	body	256	valid
168.0ms	2120×	body	256	infinite

Bogosity

preprocess16.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	21	30
2	28	30
3	32	30
4	34	30
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 9 computations (57.1% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize23.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`pow1`
1784×	`add-exp-log`
1784×	`log1p-expm1-u`
1784×	`expm1-log1p-u`
178×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	162	24
2	2428	24

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) 1)
(*.f64 1 (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))) (+.f64 (pow.f64 x 6) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) y) (-.f64 (pow.f64 x 4) (.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 x 4) (.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 y y))) (neg.f64 (-.f64 (.f64 x x) y)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x 4)) (-.f64 y (.f64 x x)))
(pow.f64 (fma.f64 x x y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))
(-.f64 (+.f64 1 (+.f64 y (fma.f64 x x y))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) 2) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))
(*.f64 (+.f64 y (fma.f64 x x y)) 1)
(*.f64 1 (+.f64 y (fma.f64 x x y)))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2) (cbrt.f64 (+.f64 y (fma.f64 x x y))))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) (sqrt.f64 (+.f64 y (fma.f64 x x y))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y y)) (/.f64 1 (-.f64 (fma.f64 x x y) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))) (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x y) y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 (*.f64 x x) (+.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (.f64 x x) (+.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) 2)) (-.f64 y (fma.f64 x x y)))
(pow.f64 (+.f64 y (fma.f64 x x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 3)
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 2))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x x y))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x x y))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(fma.f64 1 (*.f64 x x) (+.f64 y y))
(fma.f64 1 y (fma.f64 x x y))
(fma.f64 1 (fma.f64 x x y) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)) y)
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (fma.f64 x x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))
(fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x x y))

simplify82.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1716×	`fma-def`
832×	`unswap-sqr`
776×	`times-frac`
694×	`log-prod`
510×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2503
1	422	2389
2	1526	2319
3	7736	2319

Stop Event

1×	node limit

Counts

121 → 93

Calls

Call 1

Inputs
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) 1)
(*.f64 1 (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))) (+.f64 (pow.f64 x 6) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) y) (-.f64 (pow.f64 x 4) (.f64 y y))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 x 4) (.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 y y))) (neg.f64 (-.f64 (.f64 x x) y)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x 4)) (-.f64 y (.f64 x x)))
(pow.f64 (fma.f64 x x y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))
(-.f64 (+.f64 1 (+.f64 y (fma.f64 x x y))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) 2) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))
(*.f64 (+.f64 y (fma.f64 x x y)) 1)
(*.f64 1 (+.f64 y (fma.f64 x x y)))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2) (cbrt.f64 (+.f64 y (fma.f64 x x y))))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) (sqrt.f64 (+.f64 y (fma.f64 x x y))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y y)) (/.f64 1 (-.f64 (fma.f64 x x y) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))) (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x y) y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 (*.f64 x x) (+.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (.f64 x x) (+.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) 2)) (-.f64 y (fma.f64 x x y)))
(pow.f64 (+.f64 y (fma.f64 x x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 3)
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 2))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x x y))))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x x y))))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(fma.f64 1 (*.f64 x x) (+.f64 y y))
(fma.f64 1 y (fma.f64 x x y))
(fma.f64 1 (fma.f64 x x y) y)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)) y)
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (fma.f64 x x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))
(fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x x y))

Outputs
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(*.f64 (fma.f64 x x y) 1)
(fma.f64 x x y)
(*.f64 1 (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(fma.f64 x x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(fma.f64 x x y)
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))) (+.f64 (pow.f64 x 6) (pow.f64 y 3))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) y) (-.f64 (pow.f64 x 4) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x)))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 x 4) (.f64 x (*.f64 x y)))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 y y))) (neg.f64 (-.f64 (.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x 4)) (-.f64 y (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (-.f64 (.f64 x x) y))
(pow.f64 (fma.f64 x x y) 1)
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(fma.f64 x x y)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(fma.f64 x x y)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(fma.f64 x x y)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(fma.f64 x x y)
(log.f64 (exp.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(fma.f64 x x y)
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (log.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) 1))
(fma.f64 x x y)
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 x x y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 x x y)
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))
(fma.f64 x x y)
(-.f64 (+.f64 1 (+.f64 y (fma.f64 x x y))) 1)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) 2) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(*.f64 (+.f64 y (fma.f64 x x y)) 1)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 1 (+.f64 y (fma.f64 x x y)))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2) (cbrt.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(*.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) (sqrt.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x 0))))
(.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y y)) (/.f64 1 (-.f64 (fma.f64 x x y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))) (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x 0))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x y) y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x 0))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (fma.f64 x x y)))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x 0))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y))))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y y (*.f64 (fma.f64 x x y) (fma.f64 x x 0))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 (*.f64 x x) (+.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (-.f64 (+.f64 y y) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 y 3) 8)) (fma.f64 (+.f64 y y) (+.f64 y (-.f64 y (.f64 x x))) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 y 3) 8 (pow.f64 x 6)) (fma.f64 y (.f64 2 (-.f64 y (-.f64 (.f64 x x) y))) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (.f64 x x) (+.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 4 (.f64 y y))) (fma.f64 x x (*.f64 y -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y y) -4)) (fma.f64 y -2 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) 2)) (-.f64 y (fma.f64 x x y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(pow.f64 (+.f64 y (fma.f64 x x y)) 1)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 3)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3) 1/3)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) 2)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 2))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(log.f64 (exp.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(exp.f64 (log.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 x x y))) 1))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x x y))))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 1 (*.f64 x x) (+.f64 y y))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 1 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 1 (fma.f64 x x y) y)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)) y)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (fma.f64 x x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))
(+.f64 y (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y))
(fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(+.f64 y (fma.f64 x x y))
(fma.f64 y 2 (*.f64 x x))

localize25.0ms (1.5%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

eval23.0ms (1.4%)

Compiler: Compiled 1263 to 473 computations (62.5% saved)

prune13.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Accurracy

100.0%

Counts

95 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	59.7%	(+.f64 (*.f64 x x) y)
▶	49.7%	(+.f64 y y)

Compiler

Compiled 29 to 16 computations (44.8% saved)

localize15.0ms (0.9%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

localize20.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

eval7.0ms (0.4%)

Compiler: Compiled 397 to 165 computations (58.4% saved)

prune7.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	37	6	43

Accurracy

100.0%

Counts

43 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	59.7%	(+.f64 (*.f64 x x) y)
✓	49.7%	(+.f64 y y)
▶	52.4%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize15.0ms (0.9%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	59.7%	(+.f64 (*.f64 x x) y)
✓	49.7%	(+.f64 y y)
✓	52.4%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	59.7%	(+.f64 (*.f64 x x) y)
✓	49.7%	(+.f64 y y)
✓	52.4%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

regimes20.0ms (1.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
5.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
5.0ms	y
4.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

regimes18.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 41 to 18 computations (56.1% saved)

regimes59.0ms (3.5%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	y
14.0ms	x
13.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
89.0%	3	`x`
74.2%	7	`y`
90.0%	4	`(*.f64 x x)`

Compiler

Compiled 25 to 12 computations (52% saved)

bsearch38.0ms (2.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3895552492477118e-73	2.3513811874728542e-67
12.0ms	1.656661045330489e-110	1.9884532445056548e-106
14.0ms	6.225987042154858e-164	4.611132611097513e-153

Results

34.0ms

432×

body

256

valid

Compiler

Compiled 338 to 225 computations (33.4% saved)

regimes47.0ms (2.8%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
12.0ms	(*.f64 x x)
10.0ms	x

Results

Accuracy	Segments	Branch
87.5%	3	`x`
71.7%	7	`y`
88.7%	4	`(*.f64 x x)`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch41.0ms (2.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.40630459039062e-58	5.720792843588459e-47
11.0ms	1.656661045330489e-110	1.9884532445056548e-106
15.0ms	6.225987042154858e-164	4.611132611097513e-153

Results

35.0ms

448×

body

256

valid

Compiler

Compiled 294 to 205 computations (30.3% saved)

regimes18.0ms (1.1%)

Accuracy

Total -34.6b remaining (-126.2%)

Threshold costs -34.6b (-126.2%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 x x)

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

Calls

3 calls:

9.0ms	x
6.0ms	(*.f64 x x)
3.0ms	y

Results

Accuracy	Segments	Branch
57.2%	3	`x`
52.4%	1	`y`
56.9%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch28.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.979326128134644e-111	6.876205774688735e-104
15.0ms	-2.082656782201795e-117	-1.2896717407173218e-129

Results

25.0ms

304×

body

256

valid

Compiler

Compiled 204 to 142 computations (30.4% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

10×	`if-if-or-not`
8×	`not-or`
4×	`+-commutative`
4×	`not-not`
4×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	220
1	48	220
2	54	220
3	59	212
4	61	212
5	63	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(if (<=.f64 (.f64 x x) 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (+.f64 y y) (if (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (+.f64 (.f64 x x) y) (if (<=.f64 (.f64 x x) 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 y y) (+.f64 (*.f64 x x) y))))
(if (<=.f64 (.f64 x x) 8680113577089545/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (+.f64 y y) (if (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (.f64 x x) (if (<=.f64 (.f64 x x) 4739053125085073/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 y y) (*.f64 x x))))
(if (<=.f64 x -5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (.f64 x x) (if (<=.f64 x 3925019814692101/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) y (.f64 x x)))
y

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(if (<=.f64 (.f64 x x) 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (+.f64 y y) (if (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (+.f64 (.f64 x x) y) (if (<=.f64 (.f64 x x) 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (+.f64 y y) (+.f64 (*.f64 x x) y))))
(if (<=.f64 (.f64 x x) 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (+.f64 y y) (if (or (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (not (<=.f64 (.f64 x x) 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784))) (+.f64 y (.f64 x x)) (+.f64 y y)))
(if (or (<=.f64 (.f64 x x) 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (and (not (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768)) (<=.f64 (.f64 x x) 1760543683579567/30354201441027016733116592294117482916287606860189680019559568902170379456331382784))) (+.f64 y y) (+.f64 y (.f64 x x)))
(if (<=.f64 (.f64 x x) 8680113577089545/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (+.f64 y y) (if (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (.f64 x x) (if (<=.f64 (.f64 x x) 4739053125085073/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 y y) (*.f64 x x))))
(if (or (<=.f64 (.f64 x x) 8680113577089545/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (and (not (<=.f64 (.f64 x x) 1438457788087581/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768)) (<=.f64 (.f64 x x) 4739053125085073/52656145834278593348959013841835216159447547700274555627155488768))) (+.f64 y y) (.f64 x x))
(if (<=.f64 x -5394506156881457/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (.f64 x x) (if (<=.f64 x 3925019814692101/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) y (.f64 x x)))
y

Compiler

Compiled 93 to 49 computations (47.3% saved)

soundness110.0ms (6.6%)

Rules

1716×	`fma-def`
832×	`unswap-sqr`
776×	`times-frac`
694×	`log-prod`
510×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15
0	172	2503
1	422	2389
2	1526	2319
3	7736	2319

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 34 to 15 computations (55.9% saved)

end296.0ms (17.8%)

Compiler: Compiled 202 to 86 computations (57.4% saved)

Details

analyze0.0ms (0%)

sample648.0ms (38.9%)

preprocess16.0ms (1%)

simplify13.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize23.0ms (1.4%)

series2.0ms (0.1%)

rewrite66.0ms (3.9%)

simplify82.0ms (4.9%)

localize25.0ms (1.5%)

eval23.0ms (1.4%)

prune13.0ms (0.8%)

localize15.0ms (0.9%)

localize20.0ms (1.2%)

eval7.0ms (0.4%)

prune7.0ms (0.4%)

localize15.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (1.2%)

regimes18.0ms (1.1%)

regimes59.0ms (3.5%)

bsearch38.0ms (2.3%)

regimes47.0ms (2.8%)

bsearch41.0ms (2.4%)

regimes18.0ms (1.1%)

bsearch28.0ms (1.7%)

simplify11.0ms (0.7%)

soundness110.0ms (6.6%)

end296.0ms (17.8%)

Profiling