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

Time bar (total: 2.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

sample1.7s (59.6%)

Results
1.2s8254×0valid
359.0ms702×5exit
0.0ms1×0valid
0.0ms1×0infinite
Precisions
Click to see histograms. Total time spent on operations: 793.0ms
Operation ival-add, time spent: 378.0ms, 48.0% of total-time
Operation ival-sub, time spent: 272.0ms, 34.0% of total-time
Operation ival-div, time spent: 112.0ms, 14.0% of total-time
Operation const, time spent: 31.0ms, 4.0% of total-time
Bogosity

preprocess218.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
1356×fma-def
178×distribute-rgt-in
134×sub-neg
118×cancel-sign-sub-inv
86×cancel-sign-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (-.f64 x y) 2)
00-0-(+.f64 x (/.f64 (-.f64 x y) 2))
00-0-(-.f64 x y)
00-0-y
00-0-2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025220
157204
2161204
3462178
4961147
51522147
61792147
71852147
81856147
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 y (/.f64 (-.f64 y x) 2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (*.f64 y -1/2) (*.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (*.f64 1/2 y) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (*.f64 1/2 y) (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 x) y) 2) x)
(+.f64 (*.f64 y -1/2) (*.f64 x -3/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(fma.f64 x -1/2 (*.f64 y 3/2))
Compiler

Compiled 51 to 26 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
Operation ival-div, time spent: 14.0ms, 41.0% of total-time
Operation ival-sub, time spent: 10.0ms, 29.0% of total-time
Operation ival-add, time spent: 9.0ms, 26.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
▶100.0%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 18 to 13 computations (27.8% saved)

localize66.0ms (2.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
✓100.0%
(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 38 to 21 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 10.0ms, 33.0% of total-time
Operation ival-add, time spent: 9.0ms, 29.0% of total-time
Operation ival-sub, time spent: 5.0ms, 16.0% of total-time
Operation ival-div, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite237.0ms (8.6%)

Algorithm
1×batch-egg-rewrite
Rules
1226×log1p-expm1-u
1226×expm1-log1p-u
380×expm1-udef
380×log1p-udef
148×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01649
121245
2324645
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Outputs
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 y 2) 1/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 9/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(*.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(*.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2)))
(*.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(*.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))) (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)) (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 9/4) (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 y (*.f64 -1/2 (*.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4)) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4))) (neg.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 9/4) (*.f64 (pow.f64 y 2) 1/4)) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 1 (*.f64 x 3/2) (*.f64 y -1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))

simplify100.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1598×fma-neg
1054×fma-def
868×distribute-lft-in
866×distribute-rgt-in
476×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02033987
14993877
216973790
371133770
Stop Event
1×node limit
Counts
125 → 100
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 x (*.f64 1/2 x))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 y 2) 1/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 9/4) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(*.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(*.f64 1 (fma.f64 y -1/2 (*.f64 x 3/2)))
(*.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(*.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))) (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)) (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 9/4) (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 y (*.f64 -1/2 (*.f64 x 3/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4)) (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (*.f64 x 3/2) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (*.f64 x 3/2) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4))) (neg.f64 (+.f64 (*.f64 y -1/2) (*.f64 -3/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 9/4) (*.f64 (pow.f64 y 2) 1/4)) (-.f64 (*.f64 x 3/2) (*.f64 y -1/2)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 1 (*.f64 x 3/2) (*.f64 y -1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (*.f64 1/2 x))
(*.f64 3/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (+.f64 (*.f64 -1/2 y) (*.f64 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(-.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x)))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 1/2 (*.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (*.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (pow.f64 x 2)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x))) (+.f64 (*.f64 (pow.f64 (-.f64 x y) 3) 1/8) (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 1/2 (*.f64 (-.f64 x y) (-.f64 (*.f64 1/2 (-.f64 x y)) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
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(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (*.f64 y -1/2) (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 1 (*.f64 x 3/2) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (*.f64 -1/2 y)) (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) (cbrt.f64 (*.f64 -1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (cbrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

eval30.0ms (1.1%)

Compiler

Compiled 1481 to 991 computations (33.1% saved)

prune14.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh000
Picked022
Done000
Total984102
Accuracy
100.0%
Counts
102 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
✓100.0%
(+.f64 x (/.f64 (-.f64 x y) 2))
▶50.9%
(*.f64 3/2 x)
▶49.8%
(*.f64 -1/2 y)
Compiler

Compiled 28 to 21 computations (25% saved)

localize28.0ms (1%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 5.0ms, 80.0% of total-time
Operation const, time spent: 1.0ms, 16.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
✓100.0%
(+.f64 x (/.f64 (-.f64 x y) 2))
✓50.9%
(*.f64 3/2 x)
✓49.8%
(*.f64 -1/2 y)
Compiler

Compiled 50 to 36 computations (28% saved)

regimes13.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (*.f64 y -1/2) (*.f64 x 3/2))
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
Calls

3 calls:

5.0ms
(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 x y) 2))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes171.0ms (6.2%)

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

2 calls:

151.0ms
y
19.0ms
x
Results
AccuracySegmentsBranch
79.7%5x
79.5%5y
Compiler

Compiled 6 to 4 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
(*.f64 -1/2 y)
Outputs
(*.f64 -1/2 y)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
49.8%1y
49.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch175.0ms (6.3%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
3.1398391918436915e+161
6.175152344522064e+167
94.0ms
3.278268179921597e+127
4.40539298779422e+145
18.0ms
2.2298640789150392e-107
9.547239996545932e-107
19.0ms
-3.44830238670529e-18
-3.927350240955749e-20
Results
122.0ms511×0valid
41.0ms75×5exit
0.0ms1×0valid
Compiler

Compiled 398 to 330 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
Operation ival-add, time spent: 20.0ms, 40.0% of total-time
Operation ival-sub, time spent: 18.0ms, 36.0% of total-time
Operation ival-div, time spent: 10.0ms, 20.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

simplify8.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
030133
141130
249127
357123
462123
566123
667123
768123
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (*.f64 3/2 x) (if (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 -1/2 y) (if (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168) (*.f64 3/2 x) (if (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088) (*.f64 -1/2 y) (*.f64 3/2 x)))))
(*.f64 -1/2 y)
Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (*.f64 3/2 x) (if (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 -1/2 y) (if (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168) (*.f64 3/2 x) (if (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088) (*.f64 -1/2 y) (*.f64 3/2 x)))))
(if (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (*.f64 x 3/2) (if (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (*.f64 y -1/2) (if (or (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168) (not (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088))) (*.f64 x 3/2) (*.f64 y -1/2))))
(if (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (*.f64 x 3/2) (if (or (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (not (or (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168) (not (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088))))) (*.f64 y -1/2) (*.f64 x 3/2)))
(if (or (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (not (or (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (not (or (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168) (not (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088))))))) (*.f64 x 3/2) (*.f64 y -1/2))
(if (or (<=.f64 x -6646139978924579/20769187434139310514121985316880384) (not (or (<=.f64 x 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016) (and (not (<=.f64 x 199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168)) (<=.f64 x 339999999999999992854412982375220335182734143682634164781466286552783947869027279969236258880324618856837334795888063217106710635830611345766347616250045648601088))))) (*.f64 x 3/2) (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 40 to 30 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess46.0ms (1.7%)

Compiler

Compiled 108 to 78 computations (27.8% saved)

Profiling

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