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

Time bar (total: 1.5s)

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)

sample809.0ms (52.6%)

Results
716.0ms7761×body256valid
34.0ms201×body1024valid
28.0ms145×body2048valid
19.0ms148×body512valid
0.0ms1×body256infinite
Bogosity

preprocess109.0ms (7.1%)

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
3459178
4957147
51518147
61788147
71848147
81852147
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))
▶99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
▶99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 34 to 24 computations (29.4% saved)

localize46.0ms (3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 34 to 18 computations (47.1% saved)

series3.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.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
@-inf
(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms
y
@inf
(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite113.0ms (7.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
113824
2211224
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 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (-.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))))
(/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (-.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) -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 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 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x 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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(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)))

simplify65.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1248×div-sub
760×cancel-sign-sub-inv
750×fma-neg
584×fma-def
510×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702680
14092644
210282585
341822298
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 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (-.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))))
(/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (-.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) -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 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 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x 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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(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))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.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))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.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))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.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))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.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))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.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))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.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))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) (log.f64 (exp.f64 1)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 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))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.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))
(*.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))
(*.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(/.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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(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) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.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)) (fma.f64 1/2 (-.f64 y x) x))
(/.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(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))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(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))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(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))
(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))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(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))
(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))
(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))
(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))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(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 (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 (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 (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 (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 (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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(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 (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 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 -1/2 y (*.f64 3/2 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 -1/2 y (*.f64 3/2 x))
(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))

eval23.0ms (1.5%)

Compiler

Compiled 1052 to 605 computations (42.5% saved)

prune14.0ms (0.9%)

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))
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶51.9%
(*.f64 3/2 x)
▶50.4%
(*.f64 -1/2 y)
✓100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶51.9%
(*.f64 3/2 x)
▶50.4%
(*.f64 -1/2 y)
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize44.0ms (2.9%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

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))
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
✓51.9%
(*.f64 3/2 x)
✓50.4%
(*.f64 -1/2 y)
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes19.0ms (1.3%)

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:

11.0ms
y
4.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms
x
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 (0.8%)

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
y
4.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes29.0ms (1.9%)

Counts
2 → 5
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
Outputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)
Calls

2 calls:

16.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
82.2%5x
77.3%3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.5%)

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
x
3.0ms
y
Results
AccuracySegmentsBranch
50.4%1y
50.4%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch60.0ms (3.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.582148812900735e+100
1.017892072682297e+107
16.0ms
-9.2170133368046e-46
-2.4566393517711223e-51
16.0ms
-0.001240387755650698
-1.7106171019445276e-10
10.0ms
-1.5285328034226355e+29
-1.07974141503035e+28
Results
49.0ms506×body256valid
2.0ms12×body1024valid
1.0ms8×body512valid
0.0ms2×body2048valid
Compiler

Compiled 410 to 340 computations (17.1% saved)

simplify8.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
8×not-or
6×+-commutative
6×not-not
6×if-if-or-not
6×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033154
144151
252148
360144
465144
569144
670144
771144
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 x -55000000000000003204716691456) (*.f64 3/2 x) (if (<=.f64 x -7253554917687775/9671406556917033397649408) (*.f64 -1/2 y) (if (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096) (*.f64 3/2 x) (if (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592) (*.f64 -1/2 y) (*.f64 3/2 x)))))
(*.f64 -1/2 y)
Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -55000000000000003204716691456) (*.f64 3/2 x) (if (<=.f64 x -7253554917687775/9671406556917033397649408) (*.f64 -1/2 y) (if (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096) (*.f64 3/2 x) (if (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592) (*.f64 -1/2 y) (*.f64 3/2 x)))))
(if (<=.f64 x -55000000000000003204716691456) (*.f64 x 3/2) (if (<=.f64 x -7253554917687775/9671406556917033397649408) (*.f64 y -1/2) (if (or (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096) (not (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592))) (*.f64 x 3/2) (*.f64 y -1/2))))
(if (<=.f64 x -55000000000000003204716691456) (*.f64 x 3/2) (if (or (<=.f64 x -7253554917687775/9671406556917033397649408) (not (or (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096) (not (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592))))) (*.f64 y -1/2) (*.f64 x 3/2)))
(if (or (<=.f64 x -55000000000000003204716691456) (not (or (<=.f64 x -7253554917687775/9671406556917033397649408) (not (or (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096) (not (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592))))))) (*.f64 x 3/2) (*.f64 y -1/2))
(if (or (<=.f64 x -55000000000000003204716691456) (not (or (<=.f64 x -7253554917687775/9671406556917033397649408) (and (not (<=.f64 x -8556623698070271/6582018229284824168619876730229402019930943462534319453394436096)) (<=.f64 x 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592))))) (*.f64 x 3/2) (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 48 to 36 computations (25% saved)

soundness120.0ms (7.8%)

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
3459178
4957147
51518147
61788147
71848147
81852147
Stop Event
1×saturated
Compiler

Compiled 222 to 163 computations (26.6% saved)

end0.0ms (0%)

preprocess51.0ms (3.3%)

Compiler

Compiled 120 to 86 computations (28.3% saved)

Profiling

Loading profile data...