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

Time bar (total: 3.4s)

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)

sample1.9s (55.5%)

Results
1.4s7998×body256valid
384.0ms78×body512valid
17.0ms82×body2048valid
17.0ms97×body1024valid
0.0ms1×body256infinite
Bogosity

preprocess158.0ms (4.7%)

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
3311224
4477224
5623216
6730204
7819204
8877204
9899204
10905204
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)

localize37.0ms (1.1%)

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
@-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))

rewrite241.0ms (7.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
115824
2242524
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 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (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 (*.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)))
(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 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.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 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)
(fma.f64 1/2 (-.f64 y x) x)

simplify82.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1012×associate-*r*
994×fma-neg
954×associate-*l*
798×div-sub
540×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01643374
13883075
210122742
357592742
Stop Event
1×node limit
Counts
82 → 73
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 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (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 (*.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)))
(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 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.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 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))
(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 (-.f64 x y) -1/2)
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.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 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 y x)) 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 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 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 y x)) 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 y x)) 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 y x)) 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 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 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 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 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 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 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 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 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(*.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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (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 (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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(/.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 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 (pow.f64 (-.f64 y x) 2) 1/4 (*.f64 x (fma.f64 1/2 (-.f64 x y) x))))
(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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) x)
(fma.f64 1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) x)
(fma.f64 1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (-.f64 y x))) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) 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 y x)) x)

eval22.0ms (0.6%)

Compiler

Compiled 1017 to 560 computations (44.9% saved)

prune13.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574
Accuracy
99.9%
Counts
74 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.7%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶21.9%
(*.f64 (-.f64 x y) -1/2)
▶50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.0%
x
▶51.7%
(fma.f64 (-.f64 y x) 1/2 x)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶21.9%
(*.f64 (-.f64 x y) -1/2)
▶50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
12.0%
x
Compiler

Compiled 72 to 50 computations (30.6% saved)

localize56.0ms (1.7%)

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)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(fma.f64 (-.f64 y x) 1/2 x)
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)

rewrite75.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
110024
2130924
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)))

simplify68.0ms (2%)

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
12861518
28951463
340111406
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))

eval20.0ms (0.6%)

Compiler

Compiled 934 to 547 computations (41.4% saved)

prune14.0ms (0.4%)

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
▶51.7%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶31.5%
(*.f64 x 1/2)
✓50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶23.1%
(*.f64 1/2 y)
12.0%
x
▶51.7%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
▶31.5%
(*.f64 x 1/2)
✓50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
▶23.1%
(*.f64 1/2 y)
12.0%
x
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize43.0ms (1.3%)

Compiler

Compiled 24 to 13 computations (45.8% saved)

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
Picked033
Done022
Total066
Accuracy
99.9%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.7%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓31.5%
(*.f64 x 1/2)
✓50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓23.1%
(*.f64 1/2 y)
12.0%
x
✓51.7%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓31.5%
(*.f64 x 1/2)
✓50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓23.1%
(*.f64 1/2 y)
12.0%
x
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

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
✓51.7%
(/.f64 (+.f64 x y) 2)
✓99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
✓31.5%
(*.f64 x 1/2)
✓50.7%
(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓23.1%
(*.f64 1/2 y)
12.0%
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:

7.0ms
x
6.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
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)

regimes34.0ms (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:

21.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
70.5%4x
71.3%2y
Compiler

Compiled 37 to 22 computations (40.5% saved)

regimes11.0ms (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:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
51.7%1x
51.7%1y
Compiler

Compiled 25 to 16 computations (36% saved)

regimes22.0ms (0.7%)

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
10.0ms
y
Results
AccuracySegmentsBranch
42.0%3x
44.9%2y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.4%)

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

2 calls:

7.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
25.2%2x
29.6%2y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (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:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
12.0%1x
12.0%1y
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch25.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
-1.512458395334211e-39
-2.9908478629428e-58
Results
21.0ms152×body256valid
1.0ms5×body2048valid
0.0ms2×body512valid
0.0ms1×body1024valid
Compiler

Compiled 185 to 141 computations (23.8% saved)

bsearch15.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.3642669080175103e-51
3.55374539622897e-50
Results
10.0ms109×body256valid
0.0ms2×body512valid
0.0ms1×body1024valid
Compiler

Compiled 99 to 81 computations (18.2% saved)

bsearch17.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.403277060056356e-177
9.974679478783365e-174
Results
13.0ms120×body256valid
1.0ms4×body1024valid
1.0ms3×body2048valid
0.0ms1×body512valid
Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify7.0ms (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 -7240220052213307/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (/.f64 (+.f64 x y) 2))
(/.f64 (+.f64 x y) 2)
(if (<=.f64 y 8214358750147461/421249166674228746791672110734681729275580381602196445017243910144) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 2423796578111791/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) x (*.f64 1/2 y))
x
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
(if (<=.f64 y -7240220052213307/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (/.f64 (+.f64 x y) 2))
(if (<=.f64 y -7240220052213307/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (/.f64 (+.f64 x y) 2))
(/.f64 (+.f64 x y) 2)
(if (<=.f64 y 8214358750147461/421249166674228746791672110734681729275580381602196445017243910144) (*.f64 x 1/2) (*.f64 1/2 y))
(if (<=.f64 y 8214358750147461/421249166674228746791672110734681729275580381602196445017243910144) (*.f64 x 1/2) (*.f64 y 1/2))
(if (<=.f64 y 2423796578111791/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) x (*.f64 1/2 y))
(if (<=.f64 y 2423796578111791/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) x (*.f64 y 1/2))
x
Compiler

Compiled 59 to 42 computations (28.8% saved)

soundness429.0ms (12.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
115824
2242524
01211588
12861518
28951463
340111406
01124
110024
2130924
01211588
12861518
28951463
340111406
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 629 to 329 computations (47.7% saved)

end0.0ms (0%)

preprocess50.0ms (1.5%)

Compiler

Compiled 118 to 72 computations (39% saved)

Profiling

Loading profile data...