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

Time bar (total: 6.1s)

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)

sample774.0ms (12.8%)

Results
528.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 314.0ms
ival-mult: 138.0ms (43.9% of total)
ival-sub: 110.0ms (35% of total)
ival-add: 44.0ms (14% of total)
const: 19.0ms (6% of total)
backward-pass: 3.0ms (1% of total)
Bogosity

preprocess377.0ms (6.2%)

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))

explain86.0ms (1.4%)

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
49.0ms512×0valid
Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 8.0ms (39.4% of total)
ival-mult: 7.0ms (34.5% of total)
ival-add: 4.0ms (19.7% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 40 to 19 computations (52.5% 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)

localize140.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff0
(+.f64 x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
cost-diff-6144
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 y #s(literal -1 binary64)))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Rules
661×fma-neg
487×fma-define
190×cancel-sign-sub-inv
143×sub-neg
120×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020164
144164
2103152
3219152
4513152
51001152
61619152
72393152
82685152
92747152
102748152
Stop Event
saturated
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)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y #s(literal 1/2 binary64))
#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))
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(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)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (*.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 y #s(literal 1/2 binary64))
#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 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
Results
31.0ms256×0valid
Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 4.0ms (28.5% of total)
ival-mult: 4.0ms (28.5% of total)
ival-add: 3.0ms (21.4% of total)
ival-fma: 3.0ms (21.4% of total)
const: 1.0ms (7.1% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.3%)

Counts
7 → 120
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 y #s(literal -1 binary64)))>
#<alt (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))>
#<alt (+.f64 x #s(literal -1/2 binary64))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
Outputs
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<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 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<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))))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
Calls

30 calls:

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

rewrite269.0ms (4.4%)

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
020125
1281125
24255125
Stop Event
node limit
Counts
7 → 220
Calls
Call 1
Inputs
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(+.f64 y #s(literal -1 binary64))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 x #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(fma.f64 y x (neg.f64 x))
(+.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)))))
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(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)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(exp.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))

simplify170.0ms (2.8%)

Algorithm
egg-herbie
Rules
330×sub-neg
325×distribute-lft-neg-in
289×fma-define
285×distribute-rgt-neg-in
225×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058910416
114719220
251759212
Stop Event
node limit
Counts
340 → 312
Calls
Call 1
Inputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 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) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(-.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)))
(*.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) (/.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) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.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 #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 #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 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.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))))))
(*.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))))))
(*.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))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal 1 binary64))
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.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))))
(*.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))))
(*.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))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
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(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(exp.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 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) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(-.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 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/2 binary64)) 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 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 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 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 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 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1 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 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.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)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.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)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.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)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.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))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.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))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.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))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(+.f64 y #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
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(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(sqrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(log.f64 (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(expm1.f64 (log1p.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(exp.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

eval38.0ms (0.6%)

Compiler

Compiled 4938 to 961 computations (80.5% saved)

prune52.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3084312
Fresh000
Picked202
Done000
Total3104314
Accuracy
100.0%
Counts
314 → 4
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)
45.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
53.8%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize133.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff-6272
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
cost-diff0
(+.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
cost-diff-6272
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff0
(-.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(-.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
Rules
669×fma-neg
447×fma-define
176×cancel-sign-sub-inv
123×sub-neg
118×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019175
142175
278171
3166171
4405171
5819171
61362171
72244171
82593171
92652171
102653171
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.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))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 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)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
Results
34.0ms256×0valid
Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (40.1% of total)
ival-mult: 5.0ms (33.4% of total)
ival-add: 2.0ms (13.4% of total)
const: 1.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
6 → 105
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))>
#<alt (*.f64 y (+.f64 x #s(literal -1/2 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)>
Outputs
#<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 #s(literal -1/2 binary64)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<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 #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.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 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<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 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) 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 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) 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 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) 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 y)))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.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 (*.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 (*.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 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

30 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)) 918938533204673/1000000000000000)
0.0ms
x
@-inf
(- (+ (* y (+ x -1/2)) 918938533204673/1000000000000000) x)
0.0ms
y
@-inf
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)

rewrite169.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
872×log1p-expm1-u
872×expm1-log1p-u
598×fma-define
330×fma-neg
208×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018115
1281115
23686111
Stop Event
node limit
Counts
6 → 390
Calls
Call 1
Inputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y #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 (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)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 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 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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(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)))
(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) (neg.f64 y) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (cbrt.f64 (*.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 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y x))
(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 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (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 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 y x))
(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 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (+.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 (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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.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)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.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))))
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
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simplify227.0ms (3.8%)

Algorithm
egg-herbie
Rules
816×fma-neg
394×distribute-lft-neg-in
381×distribute-rgt-neg-in
276×sub-neg
218×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066315341
1156914637
2472114604
Stop Event
node limit
Counts
495 → 436
Calls
Call 1
Inputs
(*.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)))))
#s(literal -1/2 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.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)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y)))
(*.f64 x y)
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.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)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.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)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.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)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.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))))
(*.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))))
(*.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))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.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))))))
(*.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))))))
(*.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))))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y #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 (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)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 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 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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))
(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)))
(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) (neg.f64 y) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (cbrt.f64 (*.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 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (*.f64 y x))
(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 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (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 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (*.f64 y x))
(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 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
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(fma.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
#s(literal -1/2 binary64)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal -1/2 binary64) x)))
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(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)

eval63.0ms (1%)

Compiler

Compiled 7294 to 1214 computations (83.4% saved)

prune78.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5345539
Fresh000
Picked134
Done000
Total5358543
Accuracy
100.0%
Counts
543 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
45.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
53.8%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
26.7%
(*.f64 y x)
23.5%
(*.f64 y #s(literal -1/2 binary64))
57.3%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
23.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 77 to 57 computations (26% saved)

localize83.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff-6272
(+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff-6272
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
cost-diff0
(*.f64 y x)
accuracy100.0%
(-.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
Rules
219×fma-define
184×fma-neg
40×cancel-sign-sub-inv
37×sub-neg
34×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016136
135136
250136
371133
4107133
5164133
6323133
7554133
8784133
9908133
10964133
11966133
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y x)
y
x
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y x)
y
x
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
Results
29.0ms256×0valid
Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (57.4% of total)
ival-sub: 3.0ms (28.7% of total)
ival-add: 1.0ms (9.6% of total)
const: 1.0ms (9.6% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
6 → 105
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (*.f64 y x)>
#<alt (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (-.f64 y #s(literal 1 binary64))>
Outputs
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.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) x) (*.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) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))>
#<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))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 y (*.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt y>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+ (* y x) 918938533204673/1000000000000000)
0.0ms
y
@-inf
(+ (* y x) 918938533204673/1000000000000000)
0.0ms
y
@0
(+ (* y x) 918938533204673/1000000000000000)
0.0ms
y
@inf
(- (+ (* y x) 918938533204673/1000000000000000) x)
0.0ms
y
@0
(* y -1/2)

rewrite135.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1098×log1p-expm1-u
1098×expm1-log1p-u
756×prod-diff
96×add-cube-cbrt
94×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691
121491
2294191
Stop Event
node limit
Counts
6 → 185
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y x)
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))
(*.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))
(pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x))
(+.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(+.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y (*.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(*.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) (sqrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (-.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x)))
(pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 y))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))

simplify152.0ms (2.5%)

Algorithm
egg-herbie
Rules
538×times-frac
460×fma-neg
314×associate-+r+
314×associate-+l+
290×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04358075
19787483
231446764
Stop Event
node limit
Counts
290 → 253
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
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(*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
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(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
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(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x y))
(*.f64 x y)
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(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
#s(literal -1 binary64)
y
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x)))
(pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 y #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 y))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
(*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x (/.f64 x y))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.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))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(log.f64 (exp.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y #s(literal -1 binary64)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(expm1.f64 (log.f64 y))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y #s(literal -1 binary64))

eval76.0ms (1.3%)

Compiler

Compiled 3293 to 630 computations (80.9% saved)

prune37.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2642266
Fresh000
Picked235
Done033
Total2668274
Accuracy
100.0%
Counts
274 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(-.f64 (*.f64 x y) x)
45.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
53.8%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
26.7%
(*.f64 y x)
23.5%
(*.f64 y #s(literal -1/2 binary64))
32.8%
(neg.f64 x)
23.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 43 to 32 computations (25.6% saved)

localize49.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 (*.f64 x y) x)
cost-diff0
(neg.f64 x)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 (*.f64 x y) x)
accuracy100.0%
(neg.f64 x)
Rules
99×fma-define
82×fma-neg
21×cancel-sign-sub-inv
20×distribute-lft-neg-in
16×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
11952
22752
34152
45752
58352
617652
734752
841852
945352
1045552
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 x)
x
(-.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
Outputs
(neg.f64 x)
x
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x y)
x
y
Results
15.0ms256×0valid
Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.7% of total)
ival-sub: 1.0ms (18.3% of total)
ival-neg: 1.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
3 → 33
Calls
Call 1
Inputs
#<alt (neg.f64 x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (*.f64 x y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 y #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 #s(literal -1 binary64) y))))>
#<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 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(neg x)
0.0ms
x
@inf
(neg x)
0.0ms
y
@-inf
(- (* x y) x)
0.0ms
y
@inf
(- (* x y) x)
0.0ms
x
@0
(- (* x y) x)

rewrite206.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
631×prod-diff
502×unpow-prod-down
466×log1p-expm1-u
466×expm1-log1p-u
394×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01143
112135
2165135
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(*.f64 x y)
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 x y x) (+.f64 x x))
(+.f64 (fma.f64 x y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 x y x) (fma.f64 #s(literal 1 binary64) x x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))
(+.f64 (fma.f64 x y x) (fma.f64 x #s(literal -1 binary64) x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))
(+.f64 #s(literal 0 binary64) (fma.f64 x y x))
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (fma.f64 x y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y x)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(hypot.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (+.f64 x x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 x x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (+.f64 x x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) #s(literal 1 binary64))))

simplify110.0ms (1.8%)

Algorithm
egg-herbie
Rules
419×distribute-lft-out
274×fma-neg
258×distribute-rgt-neg-in
255×cancel-sign-sub-inv
253×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05015375
110985222
231525158
Stop Event
node limit
Counts
270 → 275
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 x y x) (+.f64 x x))
(+.f64 (fma.f64 x y x) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 x y x) (fma.f64 #s(literal 1 binary64) x x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))
(+.f64 (fma.f64 x y x) (fma.f64 x #s(literal -1 binary64) x))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))
(+.f64 #s(literal 0 binary64) (fma.f64 x y x))
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(+.f64 (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 x y x) #s(literal 1 binary64))
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (fma.f64 x y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y x)))
(pow.f64 (fma.f64 x y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(hypot.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 x y x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y x) (+.f64 x x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 x x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (+.f64 x x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(fma.f64 x y x)
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(fma.f64 x y x)
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(fma.f64 x y x)
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(fma.f64 x y x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 x y x)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 y)))
(*.f64 x y)
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x y)

eval36.0ms (0.6%)

Compiler

Compiled 4287 to 597 computations (86.1% saved)

prune41.0ms (0.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2741275
Fresh000
Picked022
Done066
Total2749283
Accuracy
100.0%
Counts
283 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(-.f64 (*.f64 x y) x)
45.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
53.8%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
47.5%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
26.7%
(*.f64 y x)
23.5%
(*.f64 y #s(literal -1/2 binary64))
32.8%
(neg.f64 x)
2.4%
x
23.2%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 127 to 66 computations (48% saved)

regimes23.0ms (0.4%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.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 y #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.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:

7.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
5.0ms
y
5.0ms
x
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)

regimes146.0ms (2.4%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.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 y #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
Outputs
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
Calls

2 calls:

141.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.6%3x
98.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.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 y #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
Outputs
(-.f64 (*.f64 x y) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (*.f64 x y) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.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 y #s(literal 1/2 binary64)))
Outputs
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
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:

5.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
97.7%3y
80.3%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.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 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
80.3%4x
80.3%4y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
79.4%4y
57.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 y x)
(neg.f64 x)
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
58.5%4y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
55.8%4x
53.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
32.8%1y
53.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -13.7b remaining (-27.9%)

Threshold costs -13.7b (-27.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
23.2%1y
23.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch38.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.4056200002455744
48.68471776058648
16.0ms
-0.21373878158928697
-2.6010191408025053e-19
Results
17.0ms272×0valid
Compiler

Compiled 324 to 252 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (50.2% of total)
ival-sub: 3.0ms (30.1% of total)
ival-add: 1.0ms (10% of total)
const: 1.0ms (10% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.4056200002455744
48.68471776058648
15.0ms
-3087157119.717866
-0.21373878158928697
Results
18.0ms272×0valid
Compiler

Compiled 290 to 218 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.9% of total)
ival-sub: 3.0ms (29.2% of total)
ival-add: 3.0ms (29.2% of total)
const: 1.0ms (9.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.4056200002455744
48.68471776058648
17.0ms
-3087157119.717866
-0.21373878158928697
Results
16.0ms272×0valid
Compiler

Compiled 290 to 235 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.8% of total)
ival-sub: 3.0ms (33.6% of total)
ival-add: 1.0ms (11.2% of total)
const: 1.0ms (11.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch176.0ms (2.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.00184444642960604
1262174918.5185945
158.0ms
-15.70250778240877
-0.004159366479386252
Results
163.0ms288×0valid
Compiler

Compiled 270 to 212 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 150.0ms (96.8% of total)
ival-sub: 3.0ms (1.9% of total)
ival-add: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
48.68471776058648
24174618726.10514
13.0ms
-4.208367146129363e-76
-2.5467264510771727e-82
15.0ms
-2.6010191408025053e-19
-2.9589328092547168e-21
Results
30.0ms400×0valid
Compiler

Compiled 350 to 280 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 10.0ms (54.1% of total)
ival-mult: 5.0ms (27.1% of total)
ival-add: 2.0ms (10.8% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.75071889678275e+178
1.0270656976132756e+182
15.0ms
0.00184444642960604
1262174918.5185945
14.0ms
-13075.679984194021
-15.70250778240877
Results
27.0ms416×0valid
Compiler

Compiled 330 to 248 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (39.2% of total)
ival-mult: 6.0ms (39.2% of total)
ival-add: 2.0ms (13.1% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
7.75071889678275e+178
1.0270656976132756e+182
13.0ms
6.562892660959941e-12
0.00184444642960604
19.0ms
-0.004159366479386252
-1.0458815936898254e-8
Results
33.0ms416×0valid
Compiler

Compiled 312 to 230 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (51% of total)
ival-sub: 5.0ms (31.9% of total)
ival-add: 2.0ms (12.8% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
7.807926591443358e-20
3.168773639890859e-17
40.0ms
-4.208367146129363e-76
-2.5467264510771727e-82
10.0ms
-2.6010191408025053e-19
-2.9589328092547168e-21
Results
49.0ms384×0valid
Compiler

Compiled 257 to 222 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 32.0ms (82.6% of total)
ival-sub: 4.0ms (10.3% of total)
ival-add: 2.0ms (5.2% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.807926591443358e-20
3.168773639890859e-17
16.0ms
-3087157119.717866
-0.21373878158928697
Results
21.0ms288×0valid
Compiler

Compiled 180 to 158 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (42.5% of total)
ival-sub: 3.0ms (31.9% of total)
ival-add: 1.0ms (10.6% of total)
const: 1.0ms (10.6% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
093664
1141664
2162664
3174664
4196664
5235664
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 x #s(literal -2833419889721787/18889465931478580854784 binary64)) (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (if (<=.f64 x #s(literal 7385903388887613/18014398509481984 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (<=.f64 x #s(literal -6034823500676465/9007199254740992 binary64)) (-.f64 (*.f64 x y) x) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x y) x)))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -1298074214633707/5192296858534827628530496329220096 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 2100000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -35 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 1900000000000000063641114693916368004655713967853792805049989129815098683797162003231281152496789984485532192088090256588208341251068415403163008168558150369577090894501636913233920 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4726978168888073/1152921504606846976 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4150517416584649/2305843009213693952 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 102000000000000001864729239151389660545351741223158839519081151468839990041262816980366737203055940908019883972599628436960569902539328706935188205823256365004338295951249042657247232 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1298074214633707/5192296858534827628530496329220096 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -3389627864620585/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 2515018790852807/81129638414606681695789005144064 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2515018790852807/81129638414606681695789005144064 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(if (<=.f64 x #s(literal -2833419889721787/18889465931478580854784 binary64)) (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (if (<=.f64 x #s(literal 7385903388887613/18014398509481984 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)))
(if (or (<=.f64 x #s(literal -2833419889721787/18889465931478580854784 binary64)) (not (<=.f64 x #s(literal 7385903388887613/18014398509481984 binary64)))) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -6034823500676465/9007199254740992 binary64)) (-.f64 (*.f64 x y) x) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x y) x)))
(if (or (<=.f64 x #s(literal -6034823500676465/9007199254740992 binary64)) (not (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)))) (-.f64 (*.f64 y x) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (not (<=.f64 x #s(literal 1/2 binary64)))) (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -6124895493223875/9007199254740992 binary64)) (not (<=.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (not (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -1298074214633707/5192296858534827628530496329220096 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 2100000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal -1298074214633707/5192296858534827628530496329220096 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 2100000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -35 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 1900000000000000063641114693916368004655713967853792805049989129815098683797162003231281152496789984485532192088090256588208341251068415403163008168558150369577090894501636913233920 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4726978168888073/1152921504606846976 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4150517416584649/2305843009213693952 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 102000000000000001864729239151389660545351741223158839519081151468839990041262816980366737203055940908019883972599628436960569902539328706935188205823256365004338295951249042657247232 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1298074214633707/5192296858534827628530496329220096 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -3389627864620585/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 2515018790852807/81129638414606681695789005144064 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2515018790852807/81129638414606681695789005144064 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (or (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (not (<=.f64 x #s(literal 2515018790852807/81129638414606681695789005144064 binary64)))) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.7s (27.9%)

Rules
2165×fma-neg
1027×log1p-expm1-u
1027×expm1-log1p-u
816×fma-neg
538×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066315341
1156914637
2472114604
033304
198264
2250236
3786224
42305224
53811224
64343224
74478224
84504224
94508224
104561224
114621224
124645224
134645210
146612210
156612210
166612210
04358075
19787483
231446764
058910416
114719220
251759212
020125
1281125
24255125
Stop Event
fuel
node limit
node limit
node limit
saturated
node limit
Compiler

Compiled 549 to 217 computations (60.5% saved)

preprocess69.0ms (1.1%)

Compiler

Compiled 416 to 198 computations (52.4% saved)

end0.0ms (0%)

Profiling

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