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

Time bar (total: 3.8s)

analyze0.0ms (0%)

Algorithm
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
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (27.3%)

Results
795.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-mult: 294.0ms (51.9% of total)
ival-sub: 202.0ms (35.7% of total)
ival-add: 51.0ms (9% of total)
const: 17.0ms (3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess390.0ms (10.4%)

Algorithm
egg-herbie
Rules
2165×fma-neg
412×sub-neg
400×fma-define
267×unsub-neg
239×associate-+l-
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
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 x (fma.f64 y (-.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (-.f64 (*.f64 y (-.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) y))

explain133.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-y
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 y #s(literal 1 binary64))
Results
78.0ms512×0valid
Compiler

Compiled 91 to 64 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 22.0ms (48.3% of total)
ival-sub: 18.0ms (39.5% of total)
const: 3.0ms (6.6% of total)
ival-add: 2.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 40 to 28 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
100.0%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize73.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
100.0%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
Results
45.0ms256×0valid
Compiler

Compiled 53 to 36 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.3% of total)
ival-sub: 6.0ms (24.2% of total)
ival-add: 6.0ms (24.2% of total)
ival-fma: 3.0ms (12.1% of total)
const: 2.0ms (8.1% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))>
#<alt (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))>
Outputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))>
Calls

12 calls:

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

rewrite249.0ms (6.6%)

Algorithm
batch-egg-rewrite
Rules
1027×log1p-expm1-u
1027×expm1-log1p-u
427×fma-neg
132×add-cube-cbrt
130×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02066
128166
2425566
Stop Event
node limit
Counts
2 → 85
Calls
Call 1
Inputs
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Outputs
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)))
(+.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (fma.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64)))
(pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 1 binary64)))

simplify98.0ms (2.6%)

Algorithm
egg-herbie
Rules
500×associate-+r+
482×associate-+l+
345×fma-neg
269×associate--r+
262×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02986309
18115421
229085372
Stop Event
node limit
Counts
133 → 133
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
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(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64)))))
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(/.f64 (fma.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64)))
(pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 1 binary64)))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))
(*.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(*.f64 x (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))
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(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) #s(literal 1 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (fma.f64 y (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 (*.f64 y (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

eval33.0ms (0.9%)

Compiler

Compiled 2351 to 1716 computations (27% saved)

prune31.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1285133
Fresh000
Picked112
Done000
Total1296135
Accuracy
100.0%
Counts
135 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
100.0%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
45.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
54.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
55.3%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Compiler

Compiled 87 to 66 computations (24.1% saved)

localize85.0ms (2.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
Results
59.0ms256×0valid
Compiler

Compiled 69 to 44 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 13.0ms (42.6% of total)
ival-sub: 8.0ms (26.2% of total)
ival-add: 7.0ms (22.9% of total)
const: 2.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 x #s(literal -1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
Calls

12 calls:

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

rewrite85.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
578×log1p-expm1-u
578×expm1-log1p-u
477×pow1
444×unpow-prod-down
263×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
116038
2164038
Stop Event
node limit
Counts
2 → 120
Calls
Call 1
Inputs
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))

simplify102.0ms (2.7%)

Algorithm
egg-herbie
Rules
541×fma-neg
457×associate-*r*
439×cancel-sign-sub-inv
405×fma-define
405×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823592
14113530
29553490
340883490
Stop Event
node limit
Counts
156 → 77
Calls
Call 1
Inputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
Outputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (+.f64 x #s(literal -1/2 binary64)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (log.f64 y)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))

eval15.0ms (0.4%)

Compiler

Compiled 1166 to 771 computations (33.9% saved)

prune42.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New77077
Fresh000
Picked055
Done011
Total77683
Accuracy
100.0%
Counts
83 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
100.0%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
45.7%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
54.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
55.3%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Compiler

Compiled 109 to 79 computations (27.5% saved)

regimes21.0ms (0.6%)

Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Outputs
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
Calls

4 calls:

9.0ms
x
4.0ms
y
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
3.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
98.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.2%3x
78.4%3y
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 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
54.1%1x
54.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.02200289069784482
71.0449869435174
21.0ms
-10639.043763530952
-2.7335899040152646e-8
Results
20.0ms288×0valid
Compiler

Compiled 270 to 212 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (47.1% of total)
ival-sub: 3.0ms (35.3% of total)
ival-add: 1.0ms (11.8% of total)
const: 1.0ms (11.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch65.0ms (1.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.02200289069784482
71.0449869435174
51.0ms
-2.8456391779643715e-13
-5.1772185894618243e-14
Results
13.0ms224×0valid
Compiler

Compiled 214 to 168 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.1% of total)
ival-sub: 2.0ms (29.4% of total)
ival-add: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×unsub-neg
+-commutative
neg-mul-1
sub-neg
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035164
161164
272164
381164
494164
5115164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 6530219459687219/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -693246421999813/2475880078570760549798248448 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3242591731706757/144115188075855872 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 6530219459687219/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (not (<=.f64 y #s(literal 6530219459687219/4503599627370496 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -693246421999813/2475880078570760549798248448 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3242591731706757/144115188075855872 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -693246421999813/2475880078570760549798248448 binary64)) (not (<=.f64 y #s(literal 3242591731706757/144115188075855872 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (or (<=.f64 y #s(literal -693246421999813/2475880078570760549798248448 binary64)) (not (<=.f64 y #s(literal 3242591731706757/144115188075855872 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

soundness1.2s (32.2%)

Rules
2165×fma-neg
1027×log1p-expm1-u
1027×expm1-log1p-u
500×associate-+r+
482×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033304
198264
2250236
3786224
42305224
53811224
64343224
74478224
84504224
94508224
104561224
114621224
124645224
134645210
146612210
156612210
166612210
02986309
18115421
229085372
02066
128166
2425566
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 375 to 248 computations (33.9% saved)

preprocess31.0ms (0.8%)

Compiler

Compiled 122 to 88 computations (27.9% saved)

end0.0ms (0%)

Profiling

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