Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

Time bar (total: 1.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample944.0ms (52.7%)

Results
834.0ms7731×body256valid
43.0ms192×body2048valid
34.0ms199×body1024valid
16.0ms133×body512valid
0.0ms1×body256infinite
Bogosity

preprocess133.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
1356×fma-def
178×distribute-rgt-in
134×sub-neg
118×cancel-sign-sub-inv
86×cancel-sign-sub
Problems
256×No Errors
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025220
157204
2161204
3462178
4961147
51522147
61792147
71852147
81856147
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (*.f64 y -1/2) (*.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (*.f64 1/2 y) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (*.f64 1/2 y) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (*.f64 y -1/2) (*.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(fma.f64 x -1/2 (*.f64 y 3/2))
Compiler

Compiled 30 to 16 computations (46.7% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
▶99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
▶99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize50.0ms (2.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 34 to 18 computations (47.1% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms
y
@-inf
(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms
x
@-inf
(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms
y
@inf
(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms
x
@0
(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite202.0ms (11.3%)

Algorithm
1×batch-egg-rewrite
Rules
803×log1p-expm1-u
803×expm1-log1p-u
768×fma-def
664×log-prod
522×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
113824
2211524
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))

simplify83.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
1380×fma-neg
1008×associate-*r*
966×associate-*l*
794×div-sub
546×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01702680
14152637
210392564
357242564
Stop Event
1×node limit
Counts
88 → 77
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 x (*.f64 1/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (*.f64 1/2 x))
(*.f64 3/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) (log.f64 (exp.f64 1)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (-.f64 (*.f64 1/2 (-.f64 x y)) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 1/2 (-.f64 y x) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 y x) x))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

eval54.0ms (3%)

Compiler

Compiled 1049 to 602 computations (42.6% saved)

prune13.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New75277
Fresh000
Picked022
Done000
Total75479
Accuracy
100.0%
Counts
79 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶51.4%
(*.f64 3/2 x)
▶49.9%
(*.f64 -1/2 y)
✓100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶51.4%
(*.f64 3/2 x)
▶49.9%
(*.f64 -1/2 y)
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize29.0ms (1.6%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) 2))
✓51.4%
(*.f64 3/2 x)
✓49.9%
(*.f64 -1/2 y)
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes14.0ms (0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 x 3/2 (*.f64 y -1/2))
Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
Calls

3 calls:

6.0ms
x
4.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes12.0ms (0.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Calls

3 calls:

4.0ms
x
4.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes37.0ms (2.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
Outputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)
Calls

2 calls:

20.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
75.2%5x
76.9%3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
Outputs
(*.f64 -1/2 y)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
49.9%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch24.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.8568608975704216e+69
4.881118486580133e+71
11.0ms
-1.1277781732503377e-25
-1.7921992074474255e-26
Results
19.0ms195×body256valid
1.0ms8×body1024valid
1.0ms5×body512valid
Compiler

Compiled 170 to 140 computations (17.6% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
6×*-commutative
4×sub-neg
2×neg-mul-1
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027110
138110
243110
345110
446110
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -8275667163517223/87112285931760246646623899502532662132736) (*.f64 -1/2 y) (if (<=.f64 y 6999999999999999741472284237760216703935107292371061879257909996552192) (*.f64 3/2 x) (*.f64 -1/2 y)))
(*.f64 -1/2 y)
Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -8275667163517223/87112285931760246646623899502532662132736) (*.f64 -1/2 y) (if (<=.f64 y 6999999999999999741472284237760216703935107292371061879257909996552192) (*.f64 3/2 x) (*.f64 -1/2 y)))
(if (or (<=.f64 y -8275667163517223/87112285931760246646623899502532662132736) (not (<=.f64 y 6999999999999999741472284237760216703935107292371061879257909996552192))) (*.f64 y -1/2) (*.f64 x 3/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 39 to 29 computations (25.6% saved)

soundness129.0ms (7.2%)

Rules
1356×fma-def
178×distribute-rgt-in
134×sub-neg
118×cancel-sign-sub-inv
86×cancel-sign-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025220
157204
2161204
3462178
4961147
51522147
61792147
71852147
81856147
Stop Event
1×saturated
Compiler

Compiled 215 to 158 computations (26.5% saved)

end0.0ms (0%)

preprocess48.0ms (2.7%)

Compiler

Compiled 102 to 72 computations (29.4% saved)

Profiling

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