Details

analyze43.0ms (3.2%)

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
30.8%	25%	56.2%	0.1%	18.7%	0%	0%	6
48%	37.5%	40.6%	0.1%	21.9%	0%	0%	7
60%	46.8%	31.2%	0.1%	21.9%	0%	0%	8
71.4%	54.6%	21.9%	0.1%	23.4%	0%	0%	9
78.6%	60.1%	16.4%	0.1%	23.4%	0%	0%	10
85.1%	64.4%	11.3%	0.1%	24.2%	0%	0%	11
88.9%	67.3%	8.4%	0.1%	24.2%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample663.0ms (49.7%)

Results

644.0ms	8256×	body	256	valid
7.0ms	95×	body	256	infinite

Bogosity

preprocess14.0ms (1.1%)

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 (1%)

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 (0.1%)

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)

localize6.0ms (0.4%)

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 19 to 5 computations (73.7% saved)

series2.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (*.f64 x x) y)
0.0ms	x	@	inf	(+.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)

rewrite64.0ms (4.8%)

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))

simplify87.0ms (6.5%)

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))

localize5.0ms (0.4%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

eval17.0ms (1.3%)

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

prune14.0ms (1%)

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)
▶	51.1%	(+.f64 (*.f64 x x) y)
▶	59.5%	(+.f64 y y)

Compiler

Compiled 29 to 16 computations (44.8% saved)

localize3.0ms (0.2%)

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

localize5.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

eval7.0ms (0.5%)

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

prune6.0ms (0.5%)

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)
✓	51.1%	(+.f64 (*.f64 x x) y)
✓	59.5%	(+.f64 y y)
▶	42.1%	(*.f64 x x)
	12.5%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize3.0ms (0.2%)

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

eval0.0ms (0%)

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

prune2.0ms (0.2%)

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)
✓	51.1%	(+.f64 (*.f64 x x) y)
✓	59.5%	(+.f64 y y)
✓	42.1%	(*.f64 x x)
	12.5%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

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)
✓	51.1%	(+.f64 (*.f64 x x) y)
✓	59.5%	(+.f64 y y)
✓	42.1%	(*.f64 x x)
	12.5%	y

Compiler

Compiled 37 to 21 computations (43.2% saved)

regimes19.0ms (1.5%)

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 (1.3%)

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

regimes48.0ms (3.6%)

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:

24.0ms	y
13.0ms	(*.f64 x x)
11.0ms	x

Results

Accuracy	Segments	Branch
84.7%	3	`x`
77.9%	5	`y`
85.7%	4	`(*.f64 x x)`

Compiler

Compiled 25 to 12 computations (52% saved)

bsearch35.0ms (2.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.44566243780375e-7	0.010695677796166769
12.0ms	3.880057560083961e-56	1.002666788739624e-50
10.0ms	5.7975215321768704e-108	9.437772334399945e-107

Results

31.0ms

400×

body

256

valid

Compiler

Compiled 314 to 209 computations (33.4% saved)

regimes39.0ms (2.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
13.0ms	x
7.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.4%	3	`x`
76.4%	5	`y`
82.8%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 11 computations (45% saved)

bsearch24.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.6751309511431156e-50	1.9674863628554203e-46
12.0ms	-1.8564870673166034	-0.00016584188974374964

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 206 to 137 computations (33.5% saved)

regimes24.0ms (1.8%)

Accuracy

Total -27.9b remaining (-82.6%)

Threshold costs -27.9b (-82.6%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 x x)

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

Calls

3 calls:

11.0ms	x
8.0ms	y
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
47.2%	3	`x`
43.9%	2	`y`
47.0%	2	`(*.f64 x x)`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch13.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.852094069075752e-105	2.0125985718972596e-105
11.0ms	-2.547064728995198e-125	-6.331479533695183e-127

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 94 to 65 computations (30.9% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	186
1	47	186
2	50	186
3	53	182
4	54	182
5	55	182

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) 7767407633285421/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 y y) (if (<=.f64 (.f64 x x) 8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456) (+.f64 (.f64 x x) y) (if (<=.f64 (.f64 x x) 8028023020878397/2361183241434822606848) (+.f64 y y) (+.f64 (*.f64 x x) y))))
(if (<=.f64 x -5/4) (.f64 x x) (if (<=.f64 x 835607783014675/12855504354071922204335696738729300820177623950262342682411008) (+.f64 y y) (.f64 x x)))
(if (<=.f64 x -3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 x x) (if (<=.f64 x 2453137384182563/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) 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) 7767407633285421/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 y y) (if (<=.f64 (.f64 x x) 8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456) (+.f64 (.f64 x x) y) (if (<=.f64 (.f64 x x) 8028023020878397/2361183241434822606848) (+.f64 y y) (+.f64 (*.f64 x x) y))))
(if (<=.f64 (.f64 x x) 7767407633285421/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 y y) (if (or (<=.f64 (.f64 x x) 8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456) (not (<=.f64 (.f64 x x) 8028023020878397/2361183241434822606848))) (+.f64 y (.f64 x x)) (+.f64 y y)))
(if (or (<=.f64 (.f64 x x) 7767407633285421/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (and (not (<=.f64 (.f64 x x) 8713454762823087/431359146674410236714672241392314090778194310760649159697657763987456)) (<=.f64 (.f64 x x) 8028023020878397/2361183241434822606848))) (+.f64 y y) (+.f64 y (.f64 x x)))
(if (<=.f64 x -5/4) (.f64 x x) (if (<=.f64 x 835607783014675/12855504354071922204335696738729300820177623950262342682411008) (+.f64 y y) (.f64 x x)))
(if (<=.f64 x -3143850773938835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (.f64 x x) (if (<=.f64 x 2453137384182563/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) y (.f64 x x)))
y

Compiler

Compiled 85 to 45 computations (47.1% saved)

soundness109.0ms (8.2%)

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)

end37.0ms (2.8%)

Compiler: Compiled 75 to 29 computations (61.3% saved)

Details

analyze43.0ms (3.2%)

sample663.0ms (49.7%)

preprocess14.0ms (1.1%)

simplify13.0ms (1%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series2.0ms (0.2%)

rewrite64.0ms (4.8%)

simplify87.0ms (6.5%)

localize5.0ms (0.4%)

eval17.0ms (1.3%)

prune14.0ms (1%)

localize3.0ms (0.2%)

localize5.0ms (0.4%)

eval7.0ms (0.5%)

prune6.0ms (0.5%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes19.0ms (1.5%)

regimes18.0ms (1.3%)

regimes48.0ms (3.6%)

bsearch35.0ms (2.6%)

regimes39.0ms (2.9%)

bsearch24.0ms (1.8%)

regimes24.0ms (1.8%)

bsearch13.0ms (1%)

simplify10.0ms (0.7%)

soundness109.0ms (8.2%)

end37.0ms (2.8%)

Profiling