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

Time bar (total: 2.3s)

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)

sample1.4s (59.6%)

Results
1.2s7707×body256valid
66.0ms186×body2048valid
57.0ms196×body1024valid
36.0ms164×body512valid
1.0ms3×body256infinite
Bogosity

preprocess205.0ms (8.9%)

Algorithm
1×egg-herbie
Rules
1340×fma-def
190×cancel-sign-sub-inv
160×sub-neg
136×fma-neg
98×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020107
14399
211199
329395
466175
5119275
6160975
7173075
8174475
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))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.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 x -3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(fma.f64 1/2 y (*.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 9 to 6 computations (33.3% saved)

eval2.0ms (0.1%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune6.0ms (0.3%)

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)

localize112.0ms (4.8%)

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)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1242×unpow-prod-down
884×log-prod
780×fma-def
614×pow-prod-down
432×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
119115
2280315
Stop Event
1×node limit
Counts
1 → 74
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Outputs
(-.f64 (*.f64 x 1/2) (fma.f64 y 1/2 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.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 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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 (*.f64 x x) (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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)))
(/.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 (*.f64 x x) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (*.f64 x x) (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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (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) (*.f64 x x)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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 (*.f64 x x) (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 (log.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 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 (fma.f64 y 1/2 (neg.f64 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 (fma.f64 y 1/2 (neg.f64 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 (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 (-.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 (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 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (fma.f64 y 1/2 (neg.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (fma.f64 y 1/2 (neg.f64 x))))

simplify103.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1292×div-sub
844×log-prod
778×fma-neg
688×exp-prod
650×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02022318
15242262
214272164
357362164
Stop Event
1×node limit
Counts
98 → 92
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 (*.f64 1/2 x) x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(-.f64 (*.f64 x 1/2) (fma.f64 y 1/2 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.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 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))) 1))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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 (*.f64 x x) (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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)))
(/.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 (*.f64 x x) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (*.f64 x x) (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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (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) (*.f64 x x)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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 (*.f64 x x) (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 (log.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 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 (fma.f64 y 1/2 (neg.f64 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 (fma.f64 y 1/2 (neg.f64 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 (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 (-.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 (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 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (fma.f64 y 1/2 (neg.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (fma.f64 y 1/2 (neg.f64 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 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (*.f64 x 1/2) (fma.f64 y 1/2 (neg.f64 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 (*.f64 x x) (-.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 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(-.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 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))) 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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3/2) 1/3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 x y) x))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (-.f64 x y) x) (cbrt.f64 (fma.f64 1/2 (-.f64 x y) x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (-.f64 x y) x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (-.f64 x y) x) 5/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 y (*.f64 3/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 y (*.f64 3/2 x)) 5/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)))
(*.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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y 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 (*.f64 x x) (*.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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) 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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(*.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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) 1/2) 2) (*.f64 x x)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(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) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x)) (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)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 1/2 (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (pow.f64 (*.f64 -1/2 (-.f64 y x)) 2)))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 x y) 1/2) 2))) -1)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 x y)) 2)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (-.f64 (*.f64 x x) (*.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 x y) x))
(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 (log.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 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 (fma.f64 y 1/2 (neg.f64 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 (fma.f64 y 1/2 (neg.f64 x))))
(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 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 (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 (-.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 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(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 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (fma.f64 y 1/2 (neg.f64 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 (fma.f64 y 1/2 (neg.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))

eval58.0ms (2.5%)

Compiler

Compiled 1386 to 769 computations (44.5% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh000
Picked022
Done000
Total90494
Accuracy
100.0%
Counts
94 → 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))
▶50.0%
(*.f64 3/2 x)
▶51.5%
(*.f64 -1/2 y)
✓100.0%
(fma.f64 x 3/2 (*.f64 y -1/2))
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶50.0%
(*.f64 3/2 x)
▶51.5%
(*.f64 -1/2 y)
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize22.0ms (1%)

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))
✓99.9%
(+.f64 x (/.f64 (-.f64 x y) 2))
✓50.0%
(*.f64 3/2 x)
✓51.5%
(*.f64 -1/2 y)
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes20.0ms (0.9%)

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
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)

regimes32.0ms (1.4%)

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:

14.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
13.0ms
y
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)

regimes24.0ms (1%)

Counts
2 → 3
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)
Calls

2 calls:

12.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
77.6%3x
76.1%3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (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:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
51.5%1y
51.5%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch33.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.1352166728850988e+68
1.4571953505135426e+77
17.0ms
-1.6969484677556028e-85
-4.1527838343824244e-88
Results
25.0ms247×body256valid
3.0ms14×body1024valid
1.0ms9×body512valid
0.0ms2×body2048valid
Compiler

Compiled 218 to 180 computations (17.4% saved)

simplify7.0ms (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
02480
13580
24080
34280
44380
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 -90770905078495/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (*.f64 3/2 x) (if (<=.f64 x 114999999999999998763018053464056674768544137419917627267474654232576) (*.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 -90770905078495/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (*.f64 3/2 x) (if (<=.f64 x 114999999999999998763018053464056674768544137419917627267474654232576) (*.f64 -1/2 y) (*.f64 3/2 x)))
(if (<=.f64 x -90770905078495/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456) (*.f64 x 3/2) (if (<=.f64 x 114999999999999998763018053464056674768544137419917627267474654232576) (*.f64 y -1/2) (*.f64 x 3/2)))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 41 to 30 computations (26.8% saved)

soundness124.0ms (5.4%)

Rules
1340×fma-def
190×cancel-sign-sub-inv
160×sub-neg
136×fma-neg
98×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020107
14399
211199
329395
466175
5119275
6160975
7173075
8174475
Stop Event
1×saturated
Compiler

Compiled 231 to 173 computations (25.1% saved)

end0.0ms (0%)

preprocess76.0ms (3.3%)

Compiler

Compiled 106 to 74 computations (30.2% saved)

Profiling

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