Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Time bar (total: 4.2s)

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 14 to 11 computations (21.4% saved)

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

sample1.2s (27.3%)

Results
945.0ms7237×256valid
113.0ms1018×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 413.0ms
Operation ival-mult, time spent: 143.0ms, 35.0% of total-time
Operation ival-sub, time spent: 129.0ms, 31.0% of total-time
Operation ival-add, time spent: 119.0ms, 29.0% of total-time
Operation const, time spent: 22.0ms, 5.0% of total-time
Bogosity

preprocess556.0ms (13.2%)

Algorithm
1×egg-herbie
Rules
4330×fma-neg
824×sub-neg
800×fma-define
534×unsub-neg
478×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-y
00-0-1/2
00-0-(*.f64 x (-.f64 y 1))
00-0-(-.f64 y 1)
00-0-918938533204673/1000000000000000
00-0-(*.f64 y 1/2)
00-0-1
00-0-(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
033304
198264
2250236
3786224
42305224
53811224
64343224
74478224
84504224
94508224
104561224
114621224
124645224
134645210
146612210
156612210
166612210
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(fma.f64 x (-.f64 1 y) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 x (fma.f64 y (-.f64 -1/2 x) 918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) x))
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2))))
(-.f64 -918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (+.f64 x 1/2) (-.f64 -918938533204673/1000000000000000 x))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000))
(+.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2))) -918938533204673/1000000000000000)
(-.f64 -918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(neg.f64 (fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000)))
(fma.f64 x (+.f64 y 1) (fma.f64 y -1/2 -918938533204673/1000000000000000))
(+.f64 -918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) x))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x -1/2 (fma.f64 y (+.f64 x -1) 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
Compiler

Compiled 91 to 64 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-mult, time spent: 28.0ms, 50.0% of total-time
Operation ival-sub, time spent: 18.0ms, 32.0% of total-time
Operation ival-add, time spent: 6.0ms, 11.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 40 to 28 computations (30% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize94.0ms (2.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
✓100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Compiler

Compiled 53 to 36 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-mult, time spent: 15.0ms, 37.0% of total-time
Operation ival-add, time spent: 12.0ms, 29.0% of total-time
Operation ival-sub, time spent: 7.0ms, 17.0% of total-time
Operation composed, time spent: 4.0ms, 10.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

series9.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))>
#<alt (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))>
Outputs
#<alt (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))>
#<alt (*.f64 x (-.f64 y 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 y 1))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))>
#<alt (+.f64 918938533204673/1000000000000000 (*.f64 -1 x))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))>
#<alt (-.f64 918938533204673/1000000000000000 x)>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)>
#<alt (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))>
#<alt (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))>
#<alt (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))>
#<alt (*.f64 x (-.f64 y 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))>
#<alt (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
1.0ms
y
@inf
(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms
y
@0
(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms
x
@inf
(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms
x
@-inf
(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))

rewrite246.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
1027×expm1-log1p-u
854×fma-neg
184×associate-*r*
132×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02066
128166
2425566
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Outputs
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1)
(*.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1))
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (+.f64 y -1)) 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1)
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 1))

simplify96.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1000×associate-+r+
964×associate-+l+
690×fma-neg
538×associate--r+
524×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02986309
18115421
229085372
Stop Event
1×node limit
Counts
133 → 133
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 y 1))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))
(*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))
(*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) y))))))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 x (*.f64 918938533204673/1000000000000000 (/.f64 1 y))) (+.f64 1/2 (/.f64 x y))))
(*.f64 y (-.f64 x 1/2))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 x 1/2)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 x) y)))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 y 1))))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))
(*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))
(*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (/.f64 y x)) (*.f64 918938533204673/1000000000000000 (/.f64 1 x)))) 1))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))
(*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))
(*.f64 -1 (*.f64 x (+.f64 1 (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x))))))
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1)
(*.f64 1 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1))
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (+.f64 y -1)) 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1)
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 1))
Outputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(*.f64 x (-.f64 (+.f64 y (*.f64 918938533204673/1000000000000000 (/.f64 1 x))) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (-.f64 y 1)) (*.f64 -1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 918938533204673/1000000000000000 x)) (+.f64 1 (*.f64 1/2 (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 -1 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))
(*.f64 y (+.f64 x (-.f64 (fma.f64 -1 (/.f64 x y) (/.f64 918938533204673/1000000000000000 y)) 1/2)))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) y) -1/2)))
(*.f64 y (+.f64 x (+.f64 -1/2 (/.f64 (-.f64 918938533204673/1000000000000000 x) y))))
(*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 918938533204673/1000000000000000 (/.f64 1 y)))) 1/2))
(*.f64 y (+.f64 x (-.f64 (fma.f64 -1 (/.f64 x y) (/.f64 918938533204673/1000000000000000 y)) 1/2)))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 918938533204673/1000000000000000 x) y) -1/2)))
(*.f64 y (+.f64 x (+.f64 -1/2 (/.f64 (-.f64 918938533204673/1000000000000000 x) y))))
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(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2)) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 y (*.f64 (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (*.f64 y (+.f64 x -1/2))) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 (*.f64 y (*.f64 (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2)))) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (*.f64 (+.f64 x -1/2) (*.f64 y (*.f64 y (+.f64 x -1/2)))) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 1))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

eval57.0ms (1.3%)

Compiler

Compiled 2351 to 1716 computations (27% saved)

prune19.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1294133
Fresh000
Picked112
Done000
Total1305135
Accuracy
100.0%
Counts
135 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
▶51.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶48.3%
(-.f64 918938533204673/1000000000000000 x)
▶52.8%
(*.f64 y (-.f64 x 1/2))
▶50.7%
(*.f64 x (-.f64 y 1))
Compiler

Compiled 39 to 30 computations (23.1% saved)

localize67.0ms (1.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 41 to 26 computations (36.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-sub, time spent: 10.0ms, 52.0% of total-time
Operation ival-mult, time spent: 7.0ms, 37.0% of total-time
Operation const, time spent: 2.0ms, 10.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 x 1/2))>
Outputs
#<alt (*.f64 -1/2 y)>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* y (- x 1/2))
0.0ms
x
@-inf
(* y (- x 1/2))
0.0ms
y
@inf
(* y (- x 1/2))
0.0ms
y
@-inf
(* y (- x 1/2))
0.0ms
x
@inf
(* y (- x 1/2))

rewrite70.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
758×unpow-prod-down
463×log1p-expm1-u
463×expm1-log1p-u
452×log-prod
446×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110219
2123419
Stop Event
1×node limit
Counts
1 → 29
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1/2))
Outputs
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))

simplify64.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1056×fma-neg
818×times-frac
514×*-commutative
498×prod-exp
482×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031050
12041050
25051048
319821048
439021048
Stop Event
1×node limit
Counts
41 → 52
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x y)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 x y)
(*.f64 y x)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 -1/2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 y (-.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (-.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (-.f64 x 1/2))))))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (E.f64) (log.f64 (*.f64 y (+.f64 -1/2 x))))
(pow.f64 (E.f64) (log.f64 (*.f64 y (-.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 -1/2 x))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1/2))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(fma.f64 x y (*.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))

eval13.0ms (0.3%)

Compiler

Compiled 547 to 389 computations (28.9% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New49352
Fresh000
Picked044
Done101
Total50757
Accuracy
100.0%
Counts
57 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓48.3%
(-.f64 918938533204673/1000000000000000 x)
▶52.8%
(+.f64 (*.f64 y x) (*.f64 y -1/2))
✓52.8%
(*.f64 y (-.f64 x 1/2))
▶28.1%
(*.f64 y x)
✓50.7%
(*.f64 x (-.f64 y 1))
▶27.1%
(*.f64 -1/2 y)
Compiler

Compiled 45 to 33 computations (26.7% saved)

localize53.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 29 to 13 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-mult, time spent: 7.0ms, 72.0% of total-time
Operation ival-add, time spent: 2.0ms, 21.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time

series3.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y x) (*.f64 y -1/2))>
Outputs
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 y (-.f64 x 1/2))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))>
#<alt (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))>
#<alt (*.f64 -1/2 y)>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (+.f64 (*.f64 -1/2 y) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
#<alt (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+ (* y x) (* y -1/2))
0.0ms
y
@inf
(+ (* y x) (* y -1/2))
0.0ms
y
@-inf
(+ (* y x) (* y -1/2))
0.0ms
x
@0
(+ (* y x) (* y -1/2))
0.0ms
x
@-inf
(+ (* y x) (* y -1/2))

rewrite81.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1218×unpow-prod-down
658×fma-define
636×log-prod
599×log1p-expm1-u
599×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
112119
2164719
Stop Event
1×node limit
Counts
1 → 82
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) (*.f64 y -1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 x -1/2))) (/.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 y (-.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 (*.f64 y (+.f64 x -1/2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 y (+.f64 x -1/2)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) 1))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (/.f64 1 (*.f64 y (-.f64 x -1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (pow.f64 (/.f64 1 (*.f64 y (-.f64 x -1/2))) 1))
(*.f64 (+.f64 x -1/2) y)
(*.f64 (pow.f64 1 1/3) (*.f64 y (+.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 3) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) y) 1/3) (cbrt.f64 (+.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 y 2) 1/4 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 y -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (-.f64 x -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) (neg.f64 (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -1/2) (*.f64 y x)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) -1)
(pow.f64 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 y) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) -1/2) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 (*.f64 y -1/2) 1 (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y -1/2)) (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))

simplify100.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1238×unswap-sqr
870×times-frac
596×fma-define
530×div-sub
490×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02283129
15283034
213612900
352582900
Stop Event
1×node limit
Counts
106 → 105
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 x y)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 x -1/2))) (/.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 y (-.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 (*.f64 y (+.f64 x -1/2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 y (+.f64 x -1/2)))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) 1))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (/.f64 1 (*.f64 y (-.f64 x -1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (pow.f64 (/.f64 1 (*.f64 y (-.f64 x -1/2))) 1))
(*.f64 (+.f64 x -1/2) y)
(*.f64 (pow.f64 1 1/3) (*.f64 y (+.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 3) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) y) 1/3) (cbrt.f64 (+.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 y 2) 1/4 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 y -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (-.f64 x -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) (neg.f64 (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -1/2) (*.f64 y x)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) -1)
(pow.f64 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 y) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) -1/2) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 (*.f64 y -1/2) 1 (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y -1/2)) (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
Outputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 x (+.f64 y (*.f64 -1/2 (/.f64 y x))))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 y) (*.f64 1/2 (/.f64 y x)))))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 x -1/2))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 x -1/2))) (/.f64 (*.f64 (pow.f64 y 2) 1/4) (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(*.f64 (*.f64 y (+.f64 x -1/2)) (log.f64 (exp.f64 1)))
(*.f64 y (+.f64 x -1/2))
(*.f64 1 (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(*.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(*.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) 1))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (/.f64 1 (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (pow.f64 (/.f64 1 (*.f64 y (-.f64 x -1/2))) 1))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(*.f64 (+.f64 x -1/2) y)
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 1 1/3) (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 3) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(*.f64 y (+.f64 x -1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) y) 1/3) (cbrt.f64 (+.f64 x -1/2)))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))) (cbrt.f64 (+.f64 x -1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (pow.f64 (*.f64 y (*.f64 (+.f64 x -1/2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 8)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(/.f64 1 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (fma.f64 (pow.f64 y 2) 1/4 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 y -1/2))))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (-.f64 x -1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) (neg.f64 (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(/.f64 (-.f64 (*.f64 (pow.f64 y 2) 1/4) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -1/2) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (/.f64 (fma.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3))) -1)
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (pow.f64 y 3) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 y 2) 1/4 (*.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 (*.f64 y x) (*.f64 y (+.f64 x 1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(pow.f64 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) 1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 y 2) -1/4)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (fma.f64 (*.f64 y x) x (*.f64 -1/4 y)) (+.f64 x 1/2))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 x -1/2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 y) -1/2)))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) -1/2) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (pow.f64 (exp.f64 x) y)))
(*.f64 y (+.f64 x -1/2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1/3))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(*.f64 y (+.f64 x -1/2))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 x y (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 y -1/2) 1 (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (cbrt.f64 (*.f64 y -1/2)) (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1/2))

eval32.0ms (0.8%)

Compiler

Compiled 1407 to 900 computations (36% saved)

prune17.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1050105
Fresh000
Picked033
Done044
Total1057112
Accuracy
100.0%
Counts
112 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓48.3%
(-.f64 918938533204673/1000000000000000 x)
✓52.8%
(+.f64 (*.f64 y x) (*.f64 y -1/2))
✓52.8%
(*.f64 y (-.f64 x 1/2))
✓28.1%
(*.f64 y x)
✓50.7%
(*.f64 x (-.f64 y 1))
✓27.1%
(*.f64 -1/2 y)
Compiler

Compiled 108 to 74 computations (31.5% saved)

regimes24.0ms (0.6%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

4 calls:

7.0ms
x
6.0ms
y
5.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
100.0%1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes29.0ms (0.7%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
Outputs
(*.f64 x (-.f64 y 1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 x (-.f64 y 1))
Calls

2 calls:

14.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
97.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes39.0ms (0.9%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
(*.f64 y (-.f64 x 1/2))
Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

26.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
84.5%7x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes49.0ms (1.2%)

Counts
4 → 6
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
Outputs
(*.f64 x (-.f64 y 1))
(*.f64 -1/2 y)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (-.f64 y 1))
Calls

2 calls:

26.0ms
y
19.0ms
x
Results
AccuracySegmentsBranch
82.1%6x
79.6%8y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes62.0ms (1.5%)

Counts
3 → 8
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
Outputs
(*.f64 y x)
(*.f64 -1/2 y)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 -1/2 y)
(*.f64 y x)
Calls

2 calls:

39.0ms
x
23.0ms
y
Results
AccuracySegmentsBranch
79.4%8y
71.4%14x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.6%)

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

2 calls:

17.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
52.0%3x
35.5%7y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
27.1%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch47.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
6.41737638394667e-9
486200669243.86523
23.0ms
-28348054.285774134
-0.0038537666759041575
Results
40.0ms335×256valid
0.0ms1×256valid
Compiler

Compiled 354 to 287 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-sub, time spent: 5.0ms, 40.0% of total-time
Operation ival-mult, time spent: 5.0ms, 40.0% of total-time
Operation ival-add, time spent: 2.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

bsearch36.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.7756224588987229
9.905113748910507
23.0ms
-443349221.967433
-3.1621780754930017e-7
Results
29.0ms255×256valid
0.0ms1×256valid
Compiler

Compiled 242 to 190 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 4.0ms, 46.0% of total-time
Operation ival-sub, time spent: 3.0ms, 34.0% of total-time
Operation ival-add, time spent: 1.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 11.0% of total-time

bsearch98.0ms (2.3%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
6.41737638394667e-9
486200669243.86523
18.0ms
9.818503107068651e-145
2.7285732763433506e-142
22.0ms
9.736883705039298e-191
5.938915329457055e-181
18.0ms
-1.2245718531435056e-296
-1.3862028888790801e-300
12.0ms
-0.0038537666759041575
-0.0013470244058748436
Results
80.0ms671×256valid
0.0ms1×256valid
Compiler

Compiled 554 to 450 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-mult, time spent: 10.0ms, 42.0% of total-time
Operation ival-sub, time spent: 8.0ms, 34.0% of total-time
Operation ival-add, time spent: 4.0ms, 17.0% of total-time
Operation const, time spent: 2.0ms, 8.0% of total-time

bsearch108.0ms (2.6%)

Algorithm
7×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
7.066728996827664e+289
8.379240041663488e+297
21.0ms
6.617114723173913e+259
2.562211634903065e+269
9.0ms
6.000315518877519e+225
9.909004594668436e+225
14.0ms
1.825771324018484e+114
1.7687747362554541e+115
14.0ms
0.7756224588987229
9.905113748910507
22.0ms
-443349221.967433
-3.1621780754930017e-7
9.0ms
-4.963056901348151e+123
-2.5664446857652917e+123
Results
67.0ms568×256valid
24.0ms199×256infinite
0.0ms1×256valid
Compiler

Compiled 594 to 456 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-mult, time spent: 11.0ms, 41.0% of total-time
Operation ival-sub, time spent: 9.0ms, 34.0% of total-time
Operation ival-add, time spent: 4.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

bsearch47.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
6.41737638394667e-9
486200669243.86523
23.0ms
-28348054.285774134
-0.0038537666759041575
Results
40.0ms335×256valid
0.0ms1×256valid
Compiler

Compiled 270 to 203 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-mult, time spent: 5.0ms, 43.0% of total-time
Operation ival-sub, time spent: 4.0ms, 34.0% of total-time
Operation ival-add, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

simplify22.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
36×unsub-neg
28×neg-mul-1
24×+-commutative
20×sub-neg
20×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077538
1119535
2142529
3161525
4188525
5227525
6228525
7229525
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -6124895493223875/9007199254740992) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 5854679515581645/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 x (-.f64 y 1))))
(if (<=.f64 y -3039929748475085/2251799813685248) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 x -7839866231326559/2305843009213693952) (*.f64 x (-.f64 y 1)) (if (<=.f64 x -2709713197585745/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (*.f64 -1/2 y) (if (<=.f64 x 8308506094874853/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2196735251241795/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 -1/2 y) (if (<=.f64 x 55) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (-.f64 y 1)))))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 y x) (if (<=.f64 y -8) (*.f64 -1/2 y) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (*.f64 y x) (if (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (*.f64 -1/2 y) (if (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (*.f64 y x) (if (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032) (*.f64 -1/2 y) (*.f64 y x))))))))
(if (<=.f64 x -1/2) (*.f64 y x) (if (<=.f64 x 1/2) (*.f64 -1/2 y) (*.f64 y x)))
(*.f64 -1/2 y)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -6124895493223875/9007199254740992) (*.f64 x (-.f64 y 1)) (if (<=.f64 x 5854679515581645/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 x (-.f64 y 1))))
(if (or (<=.f64 x -6124895493223875/9007199254740992) (not (<=.f64 x 5854679515581645/9007199254740992))) (*.f64 x (-.f64 y 1)) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))
(if (or (<=.f64 x -6124895493223875/9007199254740992) (not (<=.f64 x 5854679515581645/9007199254740992))) (*.f64 x (+.f64 y -1)) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))
(if (<=.f64 y -3039929748475085/2251799813685248) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -3039929748475085/2251799813685248) (not (<=.f64 y 5404319552844595/4503599627370496))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 x -7839866231326559/2305843009213693952) (*.f64 x (-.f64 y 1)) (if (<=.f64 x -2709713197585745/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (*.f64 -1/2 y) (if (<=.f64 x 8308506094874853/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2196735251241795/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 -1/2 y) (if (<=.f64 x 55) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (-.f64 y 1)))))))
(if (<=.f64 x -7839866231326559/2305843009213693952) (*.f64 x (-.f64 y 1)) (if (<=.f64 x -2709713197585745/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (*.f64 y -1/2) (if (<=.f64 x 8308506094874853/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2196735251241795/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 y -1/2) (if (<=.f64 x 55) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (-.f64 y 1)))))))
(if (<=.f64 x -7839866231326559/2305843009213693952) (*.f64 x (+.f64 y -1)) (if (<=.f64 x -2709713197585745/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (*.f64 y -1/2) (if (<=.f64 x 8308506094874853/156764265941034957982331212844852467344711417043899710759469297619722251722129607859661177881884230709880082871203965476543290384119266386721367084105368877945996036265148061460008137163052639879920877568) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2196735251241795/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (*.f64 y -1/2) (if (<=.f64 x 55) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (+.f64 y -1)))))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 y x) (if (<=.f64 y -8) (*.f64 -1/2 y) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (*.f64 y x) (if (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (*.f64 -1/2 y) (if (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (*.f64 y x) (if (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032) (*.f64 -1/2 y) (*.f64 y x))))))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 x y) (if (<=.f64 y -8) (*.f64 y -1/2) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (*.f64 x y) (if (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (*.f64 y -1/2) (if (or (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (not (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032))) (*.f64 x y) (*.f64 y -1/2)))))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 x y) (if (<=.f64 y -8) (*.f64 y -1/2) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (*.f64 x y) (if (or (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (not (or (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (not (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032))))) (*.f64 y -1/2) (*.f64 x y))))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 x y) (if (<=.f64 y -8) (*.f64 y -1/2) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (or (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (not (or (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (not (or (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (not (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032))))))) (*.f64 x y) (*.f64 y -1/2)))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 x y) (if (<=.f64 y -8) (*.f64 y -1/2) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (or (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (not (or (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240) (and (not (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856)) (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032))))) (*.f64 x y) (*.f64 y -1/2)))))
(if (<=.f64 y -4199999999999999877025090587224429265625026590031957782850718093828465037896190377374426733201726509779744112888386884206592) (*.f64 x y) (if (<=.f64 y -8) (*.f64 y -1/2) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (if (or (<=.f64 y 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800) (and (not (<=.f64 y 6800000000000000368260803452339078496804875332657019157177704251472100134659886281125407887363960747236805809188526050097662934564962314374957623331151184996852090985745024234260494163450092399835392588835698686786086885130240)) (or (<=.f64 y 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856) (not (<=.f64 y 57999999999999998109889302600195801024057051238219145660552884592936084119171732188675333197490736506835340057333261549269840911612023333929265004301108692219761325400855009929609454795322020122864342551062088747639622625716907823702193865442205118699954587082226358252424322375420030360748032))))) (*.f64 x y) (*.f64 y -1/2)))))
(if (<=.f64 x -1/2) (*.f64 y x) (if (<=.f64 x 1/2) (*.f64 -1/2 y) (*.f64 y x)))
(if (or (<=.f64 x -1/2) (not (<=.f64 x 1/2))) (*.f64 x y) (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 166 to 119 computations (28.3% saved)

soundness792.0ms (18.8%)

Rules
4330×fma-neg
1056×fma-neg
1000×associate-+r+
964×associate-+l+
824×sub-neg
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
02986309
18115421
229085372
01031050
12041050
25051048
319821048
439021048
033304
198264
2250236
3786224
42305224
53811224
64343224
74478224
84504224
94508224
104561224
114621224
124645224
134645210
146612210
156612210
166612210
Stop Event
1×saturated
1×node limit
1×node limit
Compiler

Compiled 69 to 50 computations (27.5% saved)

end0.0ms (0%)

preprocess92.0ms (2.2%)

Compiler

Compiled 334 to 232 computations (30.5% saved)

Profiling

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