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

Time bar (total: 3.1s)

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)

sample1.0s (32.9%)

Results
947.0ms8004×body256valid
30.0ms86×body2048valid
17.0ms101×body1024valid
10.0ms64×body512valid
0.0ms1×body256infinite
Bogosity

preprocess86.0ms (2.8%)

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)

eval1.0ms (0%)

Compiler

Compiled 24 to 11 computations (54.2% saved)

prune1.0ms (0%)

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)

localize32.0ms (1%)

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)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite106.0ms (3.4%)

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)

simplify81.0ms (2.6%)

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)

eval23.0ms (0.7%)

Compiler

Compiled 991 to 545 computations (45% saved)

prune308.0ms (10%)

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
▶55.3%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶25.7%
(*.f64 (-.f64 x y) -1/2)
▶54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
11.3%
x
▶55.3%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶25.7%
(*.f64 (-.f64 x y) -1/2)
▶54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
11.3%
x
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize663.0ms (21.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 (-.f64 y x) 1/2 x)
Compiler

Compiled 42 to 15 computations (64.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(fma.f64 (-.f64 y x) 1/2 x)
0.0ms
x
@-inf
(fma.f64 (-.f64 y x) 1/2 x)
0.0ms
y
@inf
(fma.f64 (-.f64 y x) 1/2 x)
0.0ms
x
@0
(fma.f64 (-.f64 y x) 1/2 x)
0.0ms
y
@-inf
(fma.f64 (-.f64 y x) 1/2 x)

rewrite54.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
816×prod-diff
650×unpow-prod-down
506×log1p-expm1-u
506×expm1-log1p-u
454×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
110024
2130624
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) 1/2 x)
Outputs
(+.f64 x (*.f64 (-.f64 y x) 1/2))
(+.f64 (*.f64 (-.f64 y x) 1/2) x)
(+.f64 0 (fma.f64 (-.f64 y x) 1/2 x))
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 (E.f64) (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(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)))
(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 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 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)))

simplify50.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
822×fma-def
504×distribute-lft-in
504×unswap-sqr
468×log-prod
464×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211588
12831518
28921463
340041406
Stop Event
1×node limit
Counts
62 → 66
Calls
Call 1
Inputs
(+.f64 x (*.f64 -1/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(+.f64 x (*.f64 (-.f64 y x) 1/2))
(+.f64 (*.f64 (-.f64 y x) 1/2) x)
(+.f64 0 (fma.f64 (-.f64 y x) 1/2 x))
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 y x) 1/2) 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 (E.f64) (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(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)))
(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 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 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)))
Outputs
(+.f64 x (*.f64 -1/2 x))
(*.f64 x 1/2)
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (+.f64 (*.f64 -1/2 x) (*.f64 1/2 y)))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 y)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y))
(*.f64 1/2 (+.f64 x y))
(+.f64 x (*.f64 (-.f64 y x) 1/2))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 (-.f64 y x) 1/2) x)
(*.f64 1/2 (+.f64 x y))
(+.f64 0 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 1/2 (+.f64 x y))
(+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)
(*.f64 1/2 (+.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (-.f64 y x) x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (+.f64 x y))))) 3)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (+.f64 x y)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))
(*.f64 1/2 (+.f64 x y))
(-.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)
(*.f64 1/2 (+.f64 x y))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 1/2 (+.f64 x y))
(*.f64 (fma.f64 (-.f64 y x) 1/2 x) (log.f64 (E.f64)))
(*.f64 1/2 (+.f64 x y))
(*.f64 1 (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.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 1/2 (+.f64 x y))
(*.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 1/2 (+.f64 x y))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))
(*.f64 1/2 (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(*.f64 1/2 (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))
(*.f64 1/2 (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 y x) x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (+.f64 x y))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (-.f64 y x) x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (-.f64 y x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (+.f64 x y)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (+.f64 x y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 y x)) 2) (-.f64 (pow.f64 x 2) (*.f64 (-.f64 y x) (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 y x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (-.f64 y x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 -1/2 (-.f64 y x))) (pow.f64 (*.f64 1/2 (-.f64 y x)) 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (-.f64 (*.f64 -1/2 y) (*.f64 x -3/2)) (pow.f64 (*.f64 1/2 (-.f64 y x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 2) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (-.f64 y x)) 2) (pow.f64 x 2)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (-.f64 y x)) 2) (pow.f64 x 2)) (-.f64 (*.f64 1/2 (-.f64 y x)) x))
(/.f64 (+.f64 x y) 2)
(pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)
(*.f64 1/2 (+.f64 x y))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)
(*.f64 1/2 (+.f64 x y))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)
(*.f64 1/2 (+.f64 x y))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)
(*.f64 1/2 (+.f64 x y))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)
(*.f64 1/2 (+.f64 x y))
(pow.f64 (E.f64) (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (-.f64 y x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (-.f64 y x) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/2 (+.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/2 (+.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (-.f64 y x) x)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (-.f64 y x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/2 (+.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 1/2 (+.f64 x y)))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))
(*.f64 1/2 (+.f64 x y))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))
(*.f64 1/2 (+.f64 x y))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))
(*.f64 1/2 (+.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))
(*.f64 1/2 (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))
(*.f64 1/2 (+.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))
(*.f64 1/2 (+.f64 x y))

eval19.0ms (0.6%)

Compiler

Compiled 934 to 547 computations (41.4% saved)

prune20.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63366
Fresh011
Picked213
Done011
Total65671
Accuracy
99.9%
Counts
71 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.3%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶29.8%
(*.f64 x 1/2)
✓54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶26.7%
(*.f64 1/2 y)
11.3%
x
▶55.3%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶29.8%
(*.f64 x 1/2)
✓54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶26.7%
(*.f64 1/2 y)
11.3%
x
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize37.0ms (1.2%)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked033
Done022
Total066
Accuracy
99.9%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.3%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓29.8%
(*.f64 x 1/2)
✓54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓26.7%
(*.f64 1/2 y)
11.3%
x
✓55.3%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓29.8%
(*.f64 x 1/2)
✓54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓26.7%
(*.f64 1/2 y)
11.3%
x
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
99.9%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.3%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓29.8%
(*.f64 x 1/2)
✓54.3%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓26.7%
(*.f64 1/2 y)
11.3%
x
Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes20.0ms (0.6%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 1/2 y)
(*.f64 x 1/2)
(*.f64 (-.f64 x y) -1/2)
(/.f64 (+.f64 x y) 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
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes31.0ms (1%)

Counts
7 → 2
Calls
Call 1
Inputs
x
(*.f64 1/2 y)
(*.f64 x 1/2)
(*.f64 (-.f64 x y) -1/2)
(/.f64 (+.f64 x y) 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)))
(/.f64 (+.f64 x y) 2)
Calls

2 calls:

19.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
76.1%4x
73.0%2y
Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes10.0ms (0.3%)

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

2 calls:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
55.3%1x
55.3%1y
Compiler

Compiled 25 to 16 computations (36% saved)

regimes20.0ms (0.6%)

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

2 calls:

11.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
46.6%2y
45.2%3x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes16.0ms (0.5%)

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

2 calls:

9.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
30.3%3x
32.8%2y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.2%)

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
x
3.0ms
y
Results
AccuracySegmentsBranch
11.3%1x
11.3%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch9.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
-5.6617500930019075e-182
-2.107177085390139e-182
Results
6.0ms72×body256valid
1.0ms3×body2048valid
0.0ms3×body512valid
0.0ms2×body1024valid
Compiler

Compiled 100 to 76 computations (24% saved)

bsearch18.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.556391737674509e-113
3.050070555731985e-101
Results
14.0ms153×body256valid
1.0ms4×body2048valid
1.0ms3×body1024valid
Compiler

Compiled 135 to 111 computations (17.8% saved)

bsearch15.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.2098754784350446e-140
1.7702805040828876e-137
Results
12.0ms122×body256valid
1.0ms3×body2048valid
0.0ms2×body1024valid
0.0ms1×body512valid
Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031167
140167
247167
352167
455167
556167
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -8222612978703425/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (/.f64 (+.f64 x y) 2))
(/.f64 (+.f64 x y) 2)
(if (<=.f64 y 7359412152547689/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 4826810854779335/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) x (*.f64 1/2 y))
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -8222612978703425/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (/.f64 (+.f64 x y) 2))
(if (<=.f64 y -8222612978703425/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (/.f64 (+.f64 x y) 2))
(/.f64 (+.f64 x y) 2)
(if (<=.f64 y 7359412152547689/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 7359412152547689/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (*.f64 x 1/2) (*.f64 y 1/2))
(if (<=.f64 y 4826810854779335/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) x (*.f64 1/2 y))
(if (<=.f64 y 4826810854779335/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) x (*.f64 y 1/2))
x
Compiler

Compiled 59 to 42 computations (28.8% saved)

soundness381.0ms (12.3%)

Rules
838×fma-def
822×fma-def
822×fma-def
816×prod-diff
805×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
115824
2242224
01211588
12831518
28921463
340041406
01124
110024
2130624
01211588
12831518
28921463
340041406
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 631 to 332 computations (47.4% saved)

end0.0ms (0%)

preprocess52.0ms (1.7%)

Compiler

Compiled 118 to 72 computations (39% saved)

Profiling

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