Details

analyze67.0ms (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
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)

sample961.0ms (45.2%)

Results

927.0ms	8256×	body	256	valid
24.0ms	360×	body	256	invalid

Bogosity

preprocess15.0ms (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)

simplify13.0ms (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 (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

67.2%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize28.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	67.2%	(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))

rewrite57.0ms (2.7%)

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))))

simplify78.0ms (3.6%)

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)

eval18.0ms (0.8%)

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

prune18.0ms (0.9%)

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
▶	65.6%	(hypot.f64 (sqrt.f64 y) x)
▶	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
▶	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	30.4%	(sqrt.f64 y)
▶	36.8%	(neg.f64 x)
	36.4%	x
▶	65.6%	(hypot.f64 (sqrt.f64 y) x)
▶	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
▶	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	30.4%	(sqrt.f64 y)
▶	36.8%	(neg.f64 x)
	36.4%	x

Compiler

Compiled 150 to 102 computations (32% saved)

localize57.0ms (2.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	100.0%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)

Compiler

Compiled 53 to 19 computations (64.2% saved)

series3.0ms (0.1%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
0.0ms	y	@	inf	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
0.0ms	x	@	0	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
0.0ms	y	@	0	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 1/2 (/.f64 y x)) x)

rewrite73.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`log-prod`
832×	`fma-def`
698×	`pow-prod-down`
478×	`pow-prod-up`
466×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	252	34
2	3679	6

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

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

simplify72.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg`
862×	`distribute-lft-neg-in`
824×	`distribute-rgt-neg-in`
822×	`times-frac`
788×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	730
1	567	730
2	2843	730

Stop Event

1×	node limit

Counts

186 → 161

Calls

Call 1

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

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

eval27.0ms (1.3%)

Compiler: Compiled 1227 to 603 computations (50.9% saved)

prune26.0ms (1.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	159	9	168

Accurracy

100.0%

Counts

168 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(hypot.f64 (sqrt.f64 y) x)
✓	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
▶	2.9%	(*.f64 1/2 (/.f64 y x))
▶	3.1%	(*.f64 -1/2 (/.f64 y x))
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	30.4%	(sqrt.f64 y)
✓	36.8%	(neg.f64 x)
	36.4%	x
✓	65.6%	(hypot.f64 (sqrt.f64 y) x)
✓	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
▶	2.9%	(*.f64 1/2 (/.f64 y x))
▶	3.1%	(*.f64 -1/2 (/.f64 y x))
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	30.4%	(sqrt.f64 y)
✓	36.8%	(neg.f64 x)
	36.4%	x

Compiler

Compiled 114 to 78 computations (31.6% saved)

localize30.0ms (1.4%)

Compiler: Compiled 25 to 10 computations (60% saved)

eval0.0ms (0%)

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

prune6.0ms (0.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	2	2
Done	6	6
Total	9	9

Accurracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(hypot.f64 (sqrt.f64 y) x)
✓	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	2.9%	(*.f64 1/2 (/.f64 y x))
✓	3.1%	(*.f64 -1/2 (/.f64 y x))
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	30.4%	(sqrt.f64 y)
✓	36.8%	(neg.f64 x)
	36.4%	x
✓	65.6%	(hypot.f64 (sqrt.f64 y) x)
✓	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	2.9%	(*.f64 1/2 (/.f64 y x))
✓	3.1%	(*.f64 -1/2 (/.f64 y x))
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	30.4%	(sqrt.f64 y)
✓	36.8%	(neg.f64 x)
	36.4%	x

Compiler

Compiled 114 to 78 computations (31.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Accurracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(hypot.f64 (sqrt.f64 y) x)
✓	36.8%	(-.f64 (*.f64 (/.f64 y x) -1/2) x)
✓	36.5%	(+.f64 (*.f64 1/2 (/.f64 y x)) x)
✓	2.9%	(*.f64 1/2 (/.f64 y x))
✓	3.1%	(*.f64 -1/2 (/.f64 y x))
✓	67.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	30.4%	(sqrt.f64 y)
✓	36.8%	(neg.f64 x)
	36.4%	x

Compiler

Compiled 98 to 58 computations (40.8% saved)

regimes63.0ms (3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	y
15.0ms	x
10.0ms	(+.f64 (*.f64 x x) y)
9.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
7.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
88.5%	4	`y`
83.6%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
83.6%	2	`(+.f64 (*.f64 x x) y)`
83.6%	2	`(*.f64 x x)`

Compiler

Compiled 67 to 35 computations (47.8% saved)

regimes19.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

17.0ms

Results

Accuracy	Segments	Branch
89.5%	3	`x`

Compiler

Compiled 34 to 17 computations (50% saved)

regimes55.0ms (2.6%)

Counts

6 → 2

Calls

Call 1

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

2 calls:

38.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
47.8%	10	`y`
72.3%	2	`x`

Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes9.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
72.2%	2	`x`

Compiler

Compiled 25 to 13 computations (48% saved)

regimes8.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(neg.f64 x)
x

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
71.9%	2	`x`

Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
36.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
9.0ms	4.1227903985809586e+95	1.3015683111060222e+96
3.0ms	-1.2300676269987697e+157	-1.437636102272701e+152

Results

11.0ms	112×	body	256	valid
0.0ms	6×	body	256	invalid

Compiler

Compiled 136 to 94 computations (30.9% saved)

bsearch37.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.6437158546239289e-111	5.924337556780571e-109
17.0ms	-1.645115217269113e-97	-4.39086731904905e-105

Results

26.0ms	272×	body	256	valid
7.0ms	94×	body	256	invalid

Compiler

Compiled 268 to 196 computations (26.9% saved)

bsearch24.0ms (1.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-6.67186404332637e-301	1.2474105822375685e-293

Results

16.0ms	176×	body	256	valid
6.0ms	91×	body	256	invalid

Compiler

Compiled 233 to 163 computations (30% saved)

bsearch25.0ms (1.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-6.67186404332637e-301	1.2474105822375685e-293

Results

16.0ms	176×	body	256	valid
7.0ms	100×	body	256	invalid

Compiler

Compiled 178 to 130 computations (27% saved)

bsearch25.0ms (1.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-6.67186404332637e-301	1.2474105822375685e-293

Results

16.0ms	176×	body	256	valid
6.0ms	98×	body	256	invalid

Compiler

Compiled 112 to 86 computations (23.2% 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	216
1	46	216
2	49	216
3	50	216

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728) (neg.f64 x) (if (<=.f64 x 1299999999999999981820380598173312042497666976842508447823435801464428615345901343127665394057216) (sqrt.f64 (+.f64 (.f64 x x) y)) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -2048904322212513/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 6134599390373507/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (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 -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728) (neg.f64 x) (if (<=.f64 x 1299999999999999981820380598173312042497666976842508447823435801464428615345901343127665394057216) (sqrt.f64 (+.f64 (.f64 x x) y)) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728) (neg.f64 x) (if (<=.f64 x 1299999999999999981820380598173312042497666976842508447823435801464428615345901343127665394057216) (sqrt.f64 (+.f64 (.f64 x x) y)) (+.f64 x (.f64 1/2 (/.f64 y x)))))
(if (<=.f64 x -2048904322212513/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 6134599390373507/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (sqrt.f64 y) (+.f64 (.f64 1/2 (/.f64 y x)) x)))
(if (<=.f64 x -2048904322212513/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632) (-.f64 (.f64 (/.f64 y x) -1/2) x) (if (<=.f64 x 6134599390373507/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (sqrt.f64 y) (+.f64 x (.f64 1/2 (/.f64 y 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) (-.f64 (.f64 (/.f64 y x) -1/2) x) (+.f64 x (.f64 1/2 (/.f64 y 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) (+.f64 x (*.f64 1/2 (/.f64 y x))))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 x) x)
x

Compiler

Compiled 98 to 62 computations (36.7% saved)

soundness180.0ms (8.5%)

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)

end101.0ms (4.7%)

Compiler: Compiled 254 to 142 computations (44.1% saved)

Details

analyze67.0ms (3.2%)

sample961.0ms (45.2%)

preprocess15.0ms (0.7%)

simplify13.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize28.0ms (1.3%)

series3.0ms (0.1%)

rewrite57.0ms (2.7%)

simplify78.0ms (3.6%)

eval18.0ms (0.8%)

prune18.0ms (0.9%)

localize57.0ms (2.7%)

series3.0ms (0.1%)

rewrite73.0ms (3.4%)

simplify72.0ms (3.4%)

eval27.0ms (1.3%)

prune26.0ms (1.2%)

localize30.0ms (1.4%)

eval0.0ms (0%)

prune6.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes63.0ms (3%)

regimes19.0ms (0.9%)

regimes55.0ms (2.6%)

regimes9.0ms (0.4%)

regimes8.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch13.0ms (0.6%)

bsearch37.0ms (1.7%)

bsearch24.0ms (1.1%)

bsearch25.0ms (1.2%)

bsearch25.0ms (1.2%)

simplify9.0ms (0.4%)

soundness180.0ms (8.5%)

end101.0ms (4.7%)

Profiling