Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

Time bar (total: 1.9s)

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 11 to 8 computations (27.3% saved)

sample756.0ms (40.5%)

Results
693.0ms7980×body256valid
21.0ms79×body2048valid
17.0ms119×body1024valid
12.0ms77×body512valid
0.0ms1×body256infinite
Bogosity

preprocess84.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
516×fma-def
92×sub-neg
84×cancel-sign-sub-inv
68×distribute-lft-neg-in
64×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
029256
158228
2142228
3308224
4474224
5620216
6727204
7816204
8874204
9896204
10902204
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2))
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2)))
(neg.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2)))
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)
(+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2))
(-.f64 (/.f64 (fabs.f64 (+.f64 x y)) 2) x)
(-.f64 (*.f64 1/2 (fabs.f64 (+.f64 x y))) x)
(-.f64 (*.f64 (fabs.f64 (+.f64 x y)) 1/2) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2))
(+.f64 x (/.f64 (fabs.f64 (+.f64 x y)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 x y))))
(fma.f64 1/2 (fabs.f64 (+.f64 x y)) x)
(fma.f64 (fabs.f64 (+.f64 x y)) 1/2 x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (fabs.f64 (-.f64 y (neg.f64 x))) 2)))
(-.f64 x (/.f64 (fabs.f64 (+.f64 x y)) 2))
(-.f64 x (*.f64 1/2 (fabs.f64 (+.f64 x y))))
(fma.f64 -1/2 (fabs.f64 (+.f64 x y)) x)
(fma.f64 (fabs.f64 (+.f64 x y)) -1/2 x)
(neg.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 (neg.f64 y) x)) 2)))
(-.f64 (neg.f64 x) (/.f64 (fabs.f64 (+.f64 x y)) 2))
(-.f64 (/.f64 (fabs.f64 (+.f64 x y)) -2) x)
(-.f64 (*.f64 -1/2 (fabs.f64 (+.f64 x y))) x)
(-.f64 (*.f64 (fabs.f64 (+.f64 x y)) -1/2) x)
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2))
(+.f64 y (/.f64 (fabs.f64 (-.f64 y x)) 2))
(+.f64 y (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) y)
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 y)
Compiler

Compiled 37 to 18 computations (51.4% saved)

eval3.0ms (0.2%)

Compiler

Compiled 24 to 11 computations (54.2% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 20 to 14 computations (30% saved)

localize29.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite113.0ms (6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
115824
2242224
Stop Event
1×node limit
Counts
1 → 58
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x (-.f64 y x)) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))
(fma.f64 (-.f64 y x) 1/2 x)
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2))
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(fma.f64 1/2 (-.f64 y x) x)

simplify69.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1052×fma-neg
1036×associate-*r*
998×associate-*l*
688×div-sub
610×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01653314
13833007
210012666
358802666
Stop Event
1×node limit
Counts
82 → 72
Calls
Call 1
Inputs
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
x
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
x
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x (-.f64 y x)) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))
(fma.f64 (-.f64 y x) 1/2 x)
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2))
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(fma.f64 1/2 (-.f64 y x) x)
Outputs
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
(*.f64 1/2 (fabs.f64 (-.f64 x y)))
(*.f64 (-.f64 x y) -1/2)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
x
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
x
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 x (*.f64 -1 y))))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (exp.f64 1)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x (-.f64 y x)) 1/2))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (neg.f64 (pow.f64 x 2))) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)
(*.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (pow.f64 x 2))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 1/2 (-.f64 y x)) (fma.f64 1/2 (-.f64 y x) (neg.f64 x)) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (-.f64 x y) (fma.f64 1/2 (-.f64 x y) x)) (pow.f64 x 2)))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 y x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (+.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 2) -1/4 (pow.f64 x 2)) (fma.f64 1/2 (-.f64 x y) x))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (-.f64 y x) 1/2 x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1 x (*.f64 (-.f64 y x) 1/2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 1/2 (-.f64 y x) x)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x)

eval20.0ms (1%)

Compiler

Compiled 991 to 545 computations (45% saved)

prune40.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh000
Picked011
Done000
Total68573
Accuracy
99.9%
Counts
73 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶18.9%
(*.f64 (-.f64 x y) -1/2)
▶48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
▶53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶18.9%
(*.f64 (-.f64 x y) -1/2)
▶48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize46.0ms (2.5%)

Compiler

Compiled 42 to 15 computations (64.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune66.0ms (3.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked033
Done011
Total055
Accuracy
99.9%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓18.9%
(*.f64 (-.f64 x y) -1/2)
✓48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
✓53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓18.9%
(*.f64 (-.f64 x y) -1/2)
✓48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
99.9%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓18.9%
(*.f64 (-.f64 x y) -1/2)
✓48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
✓53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓18.9%
(*.f64 (-.f64 x y) -1/2)
✓48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
99.9%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.6%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓18.9%
(*.f64 (-.f64 x y) -1/2)
✓48.4%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.2%
x
Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes17.0ms (0.9%)

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

3 calls:

6.0ms
y
5.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 44 to 25 computations (43.2% saved)

regimes51.0ms (2.7%)

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

2 calls:

42.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
68.6%2x
71.8%2y
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes19.0ms (1%)

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

2 calls:

11.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
50.2%2x
50.6%3y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes45.0ms (2.4%)

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

2 calls:

35.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
26.1%2y
25.1%3x
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
12.2%1x
12.2%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch11.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-0.008536229548818074
-0.0010765348062759734
Results
9.0ms92×body256valid
1.0ms4×body1024valid
Compiler

Compiled 123 to 89 computations (27.6% saved)

bsearch10.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-5.165537077273852e+179
-1.0793901347483309e+179
Results
8.0ms96×body256valid
Compiler

Compiled 93 to 71 computations (23.7% saved)

bsearch7.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
3.072645085519386e-249
4.367055543524708e-249
Results
5.0ms57×body256valid
1.0ms4×body2048valid
0.0ms2×body512valid
0.0ms1×body1024valid
Compiler

Compiled 63 to 47 computations (25.4% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
8×sub-neg
8×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032169
140169
248169
352169
454169
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -7839866231326559/1152921504606846976) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (fma.f64 (-.f64 y x) 1/2 x))
(if (<=.f64 x -429999999999999990156211611716688043169496151301408774392524649688876900568969788339070562893465211190422219417913912167231295710897606611424973212746513601826817701356013682163712) x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(if (<=.f64 y 4332859962240907/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) x (*.f64 (-.f64 x y) -1/2))
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -7839866231326559/1152921504606846976) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (fma.f64 (-.f64 y x) 1/2 x))
(if (<=.f64 y -7839866231326559/1152921504606846976) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (fma.f64 (-.f64 y x) 1/2 x))
(if (<=.f64 x -429999999999999990156211611716688043169496151301408774392524649688876900568969788339070562893465211190422219417913912167231295710897606611424973212746513601826817701356013682163712) x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(if (<=.f64 x -429999999999999990156211611716688043169496151301408774392524649688876900568969788339070562893465211190422219417913912167231295710897606611424973212746513601826817701356013682163712) x (*.f64 (fabs.f64 (-.f64 y x)) 1/2))
(if (<=.f64 y 4332859962240907/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) x (*.f64 (-.f64 x y) -1/2))
x
Compiler

Compiled 56 to 37 computations (33.9% saved)

soundness335.0ms (17.9%)

Rules
1052×fma-neg
1036×associate-*r*
998×associate-*l*
838×fma-def
805×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01653314
13833007
210012666
358802666
01332
115824
2242224
Stop Event
1×node limit
1×node limit
Compiler

Compiled 174 to 82 computations (52.9% saved)

end0.0ms (0%)

preprocess123.0ms (6.6%)

Compiler

Compiled 116 to 64 computations (44.8% saved)

Profiling

Loading profile data...