Details

analyze19.0ms (0.8%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.1s (42.6%)

Results

1.0s	8256×	body	256	valid
26.0ms	341×	body	256	invalid

Bogosity

preprocess16.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	16	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

66.5%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize30.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

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

rewrite80.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`pow1`
1568×	`add-exp-log`
1568×	`log1p-expm1-u`
1568×	`expm1-log1p-u`
1534×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	11
2	2210	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify75.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1528×	`times-frac`
1390×	`fma-neg`
1162×	`associate-/l*`
740×	`associate-/r*`
678×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1280
1	270	1160
2	702	1056
3	2399	1020
4	7661	1020

Stop Event

1×	node limit

Counts

40 → 68

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y)))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1 x) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(-.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 y))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 y)))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
(pow.f64 (fma.f64 x x y) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) 3)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))

Outputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 y)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 -1/8 (pow.f64 x 4)) (sqrt.f64 y)))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 -1 x))
(fma.f64 -1/2 (/.f64 y x) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(neg.f64 (fma.f64 1/2 (/.f64 y x) x))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1 x) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 y x) (fma.f64 -1 x (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8)))
(fma.f64 (/.f64 y x) -1/2 (-.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8) x))
(-.f64 (fma.f64 (/.f64 y x) -1/2 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8)) x)
(-.f64 (.f64 (/.f64 y x) (+.f64 -1/2 (.f64 (/.f64 y x) (/.f64 1/8 x)))) x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 y x) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 -1 x (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8))))
(fma.f64 (/.f64 y x) -1/2 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) -1/16 (-.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8) x)))
(fma.f64 (/.f64 y x) -1/2 (-.f64 (fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8 (/.f64 (*.f64 (pow.f64 y 3) -1/16) (pow.f64 x 5))) x))
(fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) -1/16 (-.f64 (.f64 (/.f64 y x) (+.f64 -1/2 (.f64 (/.f64 y x) (/.f64 1/8 x)))) x))
(fma.f64 (/.f64 y x) (+.f64 -1/2 (*.f64 (/.f64 y x) (/.f64 1/8 x))) (-.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 5) -1/16)) x))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(fma.f64 1/2 (/.f64 y x) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(-.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 y))) 1)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(*.f64 1 (hypot.f64 x (sqrt.f64 y)))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (cbrt.f64 (hypot.f64 x (sqrt.f64 y))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 y) x)) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x y))) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3/2)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 y)))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x y))) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3/2)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 y y))) (sqrt.f64 (-.f64 (.f64 x x) y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 y (-.f64 y (.f64 x x))))))
(/.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4))))
(/.f64 (hypot.f64 (pow.f64 x 3) (pow.f64 y 3/2)) (sqrt.f64 (fma.f64 y (fma.f64 x (neg.f64 x) y) (pow.f64 x 4))))
(pow.f64 (fma.f64 x x y) 1/2)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 y))) 3)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 x (sqrt.f64 y))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(hypot.f64 (sqrt.f64 y) x)
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 y)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 y)) 0)
(hypot.f64 (sqrt.f64 y) x)

eval32.0ms (1.3%)

Compiler: Compiled 950 to 526 computations (44.6% saved)

prune17.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Accurracy

100.0%

Counts

69 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
▶	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	33.7%	(sqrt.f64 y)
▶	34.8%	(neg.f64 x)
▶	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x
▶	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
▶	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	33.7%	(sqrt.f64 y)
▶	34.8%	(neg.f64 x)
▶	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x

Compiler

Compiled 162 to 110 computations (32.1% saved)

localize87.0ms (3.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (/.f64 y x) -1/2)
✓	100.0%	(*.f64 1/2 (/.f64 y x))
✓	99.9%	(pow.f64 (fma.f64 x x y) 3/2)
✓	64.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))

Compiler

Compiled 65 to 25 computations (61.5% saved)

series10.0ms (0.4%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(pow.f64 (fma.f64 x x y) 3/2)
1.0ms	x	@	0	(pow.f64 (fma.f64 x x y) 3/2)
1.0ms	x	@	inf	(pow.f64 (fma.f64 x x y) 3/2)
1.0ms	y	@	-inf	(pow.f64 (fma.f64 x x y) 3/2)
1.0ms	y	@	0	(pow.f64 (fma.f64 x x y) 3/2)

rewrite110.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`log-prod`
680×	`pow-prod-down`
620×	`pow-prod-up`
580×	`pow-exp`
480×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	310	52
2	3714	28

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
(pow.f64 (fma.f64 x x y) 3/2)
(*.f64 1/2 (/.f64 y x))
(*.f64 (/.f64 y x) -1/2)

Outputs
(+.f64 0 (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (fma.f64 x x y) 1/6) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 1/6))
(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(pow.f64 (fma.f64 x x y) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 x x y) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 3/4)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x y) 9/2) 1/9)
(pow.f64 (pow.f64 (fma.f64 x x y) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/4) 2/3)
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 y)))))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 1/4)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x y)))) 3/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) 3/2))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 0 (pow.f64 (fma.f64 x x y) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x y) 3/2))) 1)
(*.f64 (fma.f64 x x y) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (fma.f64 x x y) 3/2) 1)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (fma.f64 x x y))
(*.f64 1 (pow.f64 (fma.f64 x x y) 3/2))
(*.f64 (pow.f64 (fma.f64 x x y) 3/4) (pow.f64 (fma.f64 x x y) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 4) (pow.f64 (fma.f64 x x y) 1/6))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) 5/2) (pow.f64 (fma.f64 x x y) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 x x y) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2))))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 1) 3/2))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 3))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x y))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (fma.f64 x x y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 3/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2)))
0
0

simplify100.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1132×	`fma-neg`
930×	`associate-+r+`
882×	`times-frac`
852×	`associate-+l+`
708×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	3739
1	787	3493
2	2420	3221
3	7829	3213

Stop Event

1×	node limit

Counts

135 → 179

Calls

Call 1

Inputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y)))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1 x) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(sqrt.f64 (pow.f64 y 3))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 6))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))))))
(pow.f64 x 3)
(+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))
(+.f64 (.f64 9/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))))
(+.f64 (.f64 9/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 9/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -9/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (pow.f64 x 3)))))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -3/2 (*.f64 y x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) x)) (.f64 -3/2 (.f64 y x))))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/8 (pow.f64 y 3)) (+.f64 (.f64 9/16 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -3/2 (.f64 y x)))))
(pow.f64 x 3)
(+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (*.f64 y x)) (pow.f64 x 3)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (pow.f64 x 3))))
(sqrt.f64 (pow.f64 y 3))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 -3/4 (pow.f64 x 4)) (*.f64 9/8 (pow.f64 x 4))))))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (.f64 -3/4 (pow.f64 x 4)) (.f64 9/8 (pow.f64 x 4)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 9/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 6)) (*.f64 -9/8 (pow.f64 x 6))))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 x 2)) y)) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (pow.f64 x 4)) (.f64 9/8 (pow.f64 x 4))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 x 2)) y)) (exp.f64 (.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -3/4 (pow.f64 x 4)) (.f64 9/8 (pow.f64 x 4))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (.f64 3/2 (/.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 x 2)) y)) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 6)) (+.f64 (.f64 -9/16 (pow.f64 x 6)) (.f64 9/8 (pow.f64 x 6)))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 3))))))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(*.f64 -1/2 (/.f64 y x))
(+.f64 0 (hypot.f64 x (sqrt.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))) (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y)))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (fma.f64 x x y) 1/6) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) 1/6))
(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (fma.f64 x x y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x y))))
(pow.f64 (fma.f64 x x y) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/2) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 1)
(pow.f64 (pow.f64 (fma.f64 x x y) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) 3/4)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x y) 9/2) 1/9)
(pow.f64 (pow.f64 (fma.f64 x x y) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x y) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x y) 3/4) 2/3)
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (hypot.f64 x (sqrt.f64 y)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x (sqrt.f64 y)))))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 y))))
(hypot.f64 x (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 1) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 1/4)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x y)))) 3/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x y))) 3/2))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 y))))
(+.f64 0 (pow.f64 (fma.f64 x x y) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x y) 3/2))) 1)
(*.f64 (fma.f64 x x y) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 (fma.f64 x x y) 3/2) 1)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (fma.f64 x x y))
(*.f64 1 (pow.f64 (fma.f64 x x y) 3/2))
(*.f64 (pow.f64 (fma.f64 x x y) 3/4) (pow.f64 (fma.f64 x x y) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 4) (pow.f64 (fma.f64 x x y) 1/6))
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 y)) 5/2) (pow.f64 (fma.f64 x x y) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 x x y) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2))))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 1) 3/2))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 3))
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x y))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (fma.f64 x x y))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 3/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2)))
0
0

Outputs
(sqrt.f64 y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 y)))
(fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 y)))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 y))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 4)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 6)) (fma.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (pow.f64 x 4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 x x)) (sqrt.f64 y))))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 -1 x))
(fma.f64 -1/2 (/.f64 y x) (neg.f64 x))
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1 x) (*.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 y x) (fma.f64 -1 x (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8)))
(fma.f64 (/.f64 y x) -1/2 (-.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8) x))
(fma.f64 (/.f64 y x) -1/2 (-.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8) x))
(+.f64 (.f64 -1/2 (/.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 y x) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 -1 x (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8))))
(fma.f64 (/.f64 y x) -1/2 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) -1/16 (-.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) 1/8) x)))
(fma.f64 (/.f64 y x) -1/2 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) -1/16 (-.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) 1/8) x)))
x
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(fma.f64 1/2 (/.f64 y x) x)
(+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x))
(fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 y x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 x 3)) x)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 y x) (fma.f64 -1/8 (/.f64 y (/.f64 (pow.f64 x 3) y)) x)))
(sqrt.f64 (pow.f64 y 3))
(pow.f64 y 3/2)
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (.f64 x (.f64 x (sqrt.f64 y))) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (pow.f64 y 3/2))
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4)))))
(+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (sqrt.f64 (pow.f64 y 3))) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))))
(fma.f64 3/2 (.f64 x (.f64 x (sqrt.f64 y))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) 3/8) (pow.f64 x 4) (sqrt.f64 (pow.f64 y 3))))
(fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (pow.f64 x 4) 3/8) (pow.f64 y 3/2)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 6))) (+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (+.f64 (sqrt.f64 (pow.f64 y 3)) (.f64 3/8 (.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4))))))
(fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 6)) (+.f64 (fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (sqrt.f64 (pow.f64 y 3))) (.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 4)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 6)) (fma.f64 3/2 (.f64 x (.f64 x (sqrt.f64 y))) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 y)) 3/8) (pow.f64 x 4) (sqrt.f64 (pow.f64 y 3)))))
(fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 6)) (fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (fma.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (pow.f64 x 4) 3/8) (pow.f64 y 3/2))))
(pow.f64 x 3)
(+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))
(fma.f64 3/2 (*.f64 y x) (pow.f64 x 3))
(+.f64 (.f64 9/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))))
(fma.f64 9/8 (/.f64 (.f64 y y) x) (fma.f64 -3/4 (/.f64 (.f64 y y) x) (fma.f64 3/2 (*.f64 y x) (pow.f64 x 3))))
(fma.f64 3/8 (/.f64 y (/.f64 x y)) (fma.f64 3/2 (*.f64 y x) (pow.f64 x 3)))
(fma.f64 3/8 (.f64 (/.f64 y x) y) (fma.f64 3/2 (.f64 y x) (pow.f64 x 3)))
(+.f64 (.f64 9/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -3/4 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 9/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -9/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (pow.f64 x 3)))))))
(fma.f64 9/8 (/.f64 (.f64 y y) x) (fma.f64 -3/4 (/.f64 (.f64 y y) x) (fma.f64 3/2 (*.f64 y x) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 9/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -9/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 x 3)))))))
(+.f64 (fma.f64 3/2 (.f64 y x) (+.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -9/8 (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 17/16))) (/.f64 (.f64 y (.f64 y 3/8)) x))
(fma.f64 3/8 (.f64 (/.f64 y x) y) (fma.f64 3/2 (.f64 y x) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -3/2 (*.f64 y x)))
(fma.f64 -1 (pow.f64 x 3) (.f64 (.f64 -3/2 y) x))
(-.f64 (.f64 y (.f64 x -3/2)) (pow.f64 x 3))
(.f64 x (-.f64 (.f64 y -3/2) (*.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) x)) (.f64 -3/2 (.f64 y x))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (.f64 y y) 3/8) x) (.f64 (.f64 -3/2 y) x)))
(-.f64 (-.f64 (.f64 y (.f64 x -3/2)) (/.f64 (.f64 y (.f64 y 3/8)) x)) (pow.f64 x 3))
(-.f64 (fma.f64 y (.f64 x -3/2) (.f64 (*.f64 (/.f64 y x) y) -3/8)) (pow.f64 x 3))
(fma.f64 x (-.f64 (.f64 y -3/2) (.f64 x x)) (.f64 (.f64 (/.f64 y x) y) -3/8))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/8 (pow.f64 y 2)) (.f64 -3/4 (pow.f64 y 2))) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -9/8 (pow.f64 y 3)) (+.f64 (.f64 9/16 (pow.f64 y 3)) (.f64 1/2 (pow.f64 y 3)))) (pow.f64 x 3))) (.f64 -3/2 (.f64 y x)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (/.f64 (.f64 (.f64 y y) 3/8) x) (fma.f64 -1 (/.f64 (fma.f64 -9/8 (pow.f64 y 3) (.f64 (pow.f64 y 3) 17/16)) (pow.f64 x 3)) (.f64 (*.f64 -3/2 y) x))))
(-.f64 (-.f64 (-.f64 (.f64 y (.f64 x -3/2)) (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 (.f64 y (*.f64 y 3/8)) x)) (pow.f64 x 3))
(+.f64 (.f64 (.f64 (/.f64 y x) y) -3/8) (-.f64 (fma.f64 y (.f64 x -3/2) (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (pow.f64 x 3)))
(-.f64 (fma.f64 y (.f64 x -3/2) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (*.f64 (/.f64 y x) y) -3/8))) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (.f64 3/2 (.f64 y x)) (pow.f64 x 3))
(fma.f64 3/2 (*.f64 y x) (pow.f64 x 3))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (*.f64 y x)) (pow.f64 x 3)))
(fma.f64 9/8 (/.f64 (.f64 y y) x) (fma.f64 -3/4 (/.f64 (.f64 y y) x) (fma.f64 3/2 (*.f64 y x) (pow.f64 x 3))))
(fma.f64 3/8 (/.f64 y (/.f64 x y)) (fma.f64 3/2 (*.f64 y x) (pow.f64 x 3)))
(fma.f64 3/8 (.f64 (/.f64 y x) y) (fma.f64 3/2 (.f64 y x) (pow.f64 x 3)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 (.f64 y x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (pow.f64 x 3))))
(fma.f64 9/8 (/.f64 (.f64 y y) x) (fma.f64 -3/4 (/.f64 (.f64 y y) x) (fma.f64 3/2 (*.f64 y x) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 9/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -9/8 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 x 3)))))))
(+.f64 (fma.f64 3/2 (.f64 y x) (+.f64 (fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) -9/8 (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 17/16))) (/.f64 (.f64 y (.f64 y 3/8)) x))
(fma.f64 3/8 (.f64 (/.f64 y x) y) (fma.f64 3/2 (.f64 y x) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 x 3))))
(sqrt.f64 (pow.f64 y 3))
(pow.f64 y 3/2)
(+.f64 (.f64 3/2 (.f64 (sqrt.f64 y) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))
(fma.f64 3/2 (.f64 (sqrt.f64 y) (.f64 x x)) (sqrt.f64 (pow.f64 y 3)))
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(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (hypot.f64 x (sqrt.f64 y)) 5/2))
(*.f64 (pow.f64 (fma.f64 x x y) 1/4) (pow.f64 (hypot.f64 (sqrt.f64 y) x) 5/2))
(sqrt.f64 (pow.f64 (fma.f64 x x y) 3))
(pow.f64 (fma.f64 x x y) 3/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(pow.f64 (fma.f64 x x y) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2))))
(pow.f64 (fma.f64 x x y) 3/2)
(cbrt.f64 (pow.f64 (fma.f64 x x y) 9/2))
(pow.f64 (fma.f64 x x y) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x y))) 1))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 1) 3/2))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1) 1))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 3))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 (*.f64 3/2 (log.f64 (fma.f64 x x y))) 1/3) 3))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 y))) 1) 3))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x y) 9/2)) 1/3))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x y))) 3/4))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 3/4 (log.f64 (fma.f64 x x y))) 2))
(pow.f64 (fma.f64 x x y) 3/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x y)) 3/4) 2))
(pow.f64 (fma.f64 x x y) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x y) 3/2)))
(pow.f64 (fma.f64 x x y) 3/2)
0
0

eval70.0ms (2.8%)

Compiler: Compiled 3203 to 2056 computations (35.8% saved)

prune26.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	179	7	186

Accurracy

100.0%

Counts

186 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 y)
✓	34.8%	(neg.f64 x)
✓	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x
✓	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 y)
✓	34.8%	(neg.f64 x)
✓	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x

Compiler

Compiled 92 to 62 computations (32.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 y)
✓	34.8%	(neg.f64 x)
✓	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x
✓	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 y)
✓	34.8%	(neg.f64 x)
✓	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x

Compiler

Compiled 92 to 62 computations (32.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.7%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	35.8%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	66.5%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 y)
✓	34.8%	(neg.f64 x)
✓	43.3%	(cbrt.f64 (pow.f64 (fma.f64 x x y) 3/2))
	35.6%	x

Compiler

Compiled 80 to 49 computations (38.8% saved)

regimes71.0ms (2.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	y
14.0ms	x
9.0ms	(+.f64 (*.f64 x x) y)
8.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
75.3%	7	`y`
84.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
84.0%	2	`(+.f64 (*.f64 x x) y)`
84.0%	2	`(*.f64 x x)`

Compiler

Compiled 60 to 34 computations (43.3% saved)

regimes15.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(sqrt.f64 y)

Outputs
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(sqrt.f64 y)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
95.0%	3	`x`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes8.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)
(-.f64 (*.f64 (/.f64 y x) -1/2) x)

Outputs
(-.f64 (*.f64 (/.f64 y x) -1/2) x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
69.7%	2	`x`

Compiler

Compiled 22 to 12 computations (45.5% saved)

regimes8.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Outputs
(neg.f64 x)
(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
69.5%	2	`x`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)
x

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.1%	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
35.6%	1	`y`
35.6%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch10.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.624136467227944e+152	6.1708733376152864e+153
3.0ms	-2.1502914479189257e+154	-1.70231211780738e+153

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 93 to 65 computations (30.1% saved)

bsearch27.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.4937090122601826e-24	9.096388997223475e-24
18.0ms	-1.2786191938307872e-53	-2.451425594776279e-61

Results

21.0ms	224×	body	256	valid
3.0ms	50×	body	256	invalid

Compiler

Compiled 223 to 163 computations (26.9% saved)

bsearch17.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-4.9400067787962e-305	9.19357449359799e-308

Results

11.0ms	128×	body	256	valid
4.0ms	56×	body	256	invalid

Compiler

Compiled 173 to 121 computations (30.1% saved)

bsearch21.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-4.9400067787962e-305	9.19357449359799e-308

Results

15.0ms	128×	body	256	valid
4.0ms	58×	body	256	invalid

Compiler

Compiled 133 to 97 computations (27.1% saved)

bsearch18.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-4.9400067787962e-305	9.19357449359799e-308

Results

12.0ms	128×	body	256	valid
4.0ms	68×	body	256	invalid

Compiler

Compiled 85 to 65 computations (23.5% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	198
1	46	198
2	49	198
3	50	198

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (neg.f64 x) (if (<=.f64 x 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (sqrt.f64 (+.f64 (*.f64 x x) y)) x))
(if (<=.f64 x -4805824016197205/28269553036454149273332760011886696253239742350009903329945699220681916416) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 331775307747915/85070591730234615865843651857942052864) (sqrt.f64 y) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (.f64 (/.f64 y x) -1/2) x) (+.f64 (.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) (+.f64 (*.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) x)
x

Outputs
(if (<=.f64 x -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864) (neg.f64 x) (if (<=.f64 x 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (sqrt.f64 (+.f64 (*.f64 x x) y)) x))
(if (<=.f64 x -4805824016197205/28269553036454149273332760011886696253239742350009903329945699220681916416) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 331775307747915/85070591730234615865843651857942052864) (sqrt.f64 y) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -4805824016197205/28269553036454149273332760011886696253239742350009903329945699220681916416) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 331775307747915/85070591730234615865843651857942052864) (sqrt.f64 y) (+.f64 x (.f64 (/.f64 y x) 1/2))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (.f64 (/.f64 y x) -1/2) x) (+.f64 (.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (.f64 (/.f64 y x) -1/2) x) (+.f64 x (.f64 (/.f64 y x) 1/2)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) (+.f64 (*.f64 1/2 (/.f64 y x)) x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) (+.f64 x (*.f64 (/.f64 y x) 1/2)))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) x)
x

Compiler

Compiled 92 to 58 computations (37% saved)

soundness186.0ms (7.5%)

Rules

1528×	`times-frac`
1528×	`times-frac`
1390×	`fma-neg`
1390×	`fma-neg`
1162×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1280
1	270	1160
2	702	1056
3	2399	1020
4	7661	1020
0	117	1280
1	270	1160
2	702	1056
3	2399	1020
4	7661	1020

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 40 to 23 computations (42.5% saved)

end321.0ms (12.9%)

Compiler: Compiled 242 to 136 computations (43.8% saved)

Details

analyze19.0ms (0.8%)

sample1.1s (42.6%)

preprocess16.0ms (0.7%)

simplify14.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.2%)

series3.0ms (0.1%)

rewrite80.0ms (3.2%)

simplify75.0ms (3%)

eval32.0ms (1.3%)

prune17.0ms (0.7%)

localize87.0ms (3.5%)

series10.0ms (0.4%)

rewrite110.0ms (4.4%)

simplify100.0ms (4%)

eval70.0ms (2.8%)

prune26.0ms (1.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes71.0ms (2.9%)

regimes15.0ms (0.6%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes8.0ms (0.3%)

bsearch10.0ms (0.4%)

bsearch27.0ms (1.1%)

bsearch17.0ms (0.7%)

bsearch21.0ms (0.8%)

bsearch18.0ms (0.7%)

simplify9.0ms (0.4%)

soundness186.0ms (7.5%)

end321.0ms (12.9%)

Profiling