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

Time bar (total: 6.0s)

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)
...c/correct-round.rkt:121:19: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (17%)

Results
756.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 480.0ms
...c/correct-round.rkt:121:19: 168.0ms (35% of total)
ival-mult: 131.0ms (27.3% of total)
ival-sub: 120.0ms (25% of total)
ival-add: 45.0ms (9.4% of total)
const: 14.0ms (2.9% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess404.0ms (6.7%)

Algorithm
egg-herbie
Rules
2165×fmm-def
414×sub-neg
400×fma-define
263×unsub-neg
238×associate-+l-
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
033304
198264
2250236
3786224
42305224
53793224
64333224
74467224
84493224
94497224
104553224
114613224
124637224
134637210
146604210
156604210
166604210
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)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) 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)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) 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)))
(fma.f64 y (-.f64 #s(literal -1/2 binary64) x) (+.f64 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 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 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 x (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #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))
(+.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)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) y))

explain142.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 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-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
64.0ms512×0valid
Compiler

Compiled 104 to 42 computations (59.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
...c/correct-round.rkt:121:19: 11.0ms (39.9% of total)
ival-mult: 7.0ms (25.4% of total)
ival-sub: 5.0ms (18.1% of total)
ival-add: 3.0ms (10.9% of total)
const: 1.0ms (3.6% 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%
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff0
(-.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Rules
765×fmm-def
558×fma-define
146×sub-neg
117×associate-+l-
116×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019166
144166
2103166
3238166
4654166
51484166
62192166
72712166
82868166
92891166
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.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)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #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)

localize60.0ms (1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Results
40.0ms256×0valid
Compiler

Compiled 58 to 15 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
...c/correct-round.rkt:121:19: 8.0ms (38.2% of total)
ival-sub: 5.0ms (23.8% of total)
ival-mult: 5.0ms (23.8% of total)
ival-add: 2.0ms (9.5% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
8 → 144
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))>
#<alt (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)>
#<alt (-.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 y #s(literal -1 binary64)))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 y #s(literal 1/2 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 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))>
Outputs
#<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 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
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Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms
y
@inf
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
1.0ms
y
@0
(* x (+ y -1))
1.0ms
x
@0
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
1.0ms
y
@-inf
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))

rewrite341.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
1049×log1p-expm1-u
1049×expm1-log1p-u
396×fmm-def
133×add-cube-cbrt
131×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019151
1282151
24320151
Stop Event
node limit
Counts
8 → 255
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(-.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (sqrt.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))))
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(log.f64 (exp.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.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))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))

simplify282.0ms (4.7%)

Algorithm
egg-herbie
Rules
370×sub-neg
301×fma-define
266×associate-*r*
265×associate-*l*
220×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066712444
1166211402
2588711222
Stop Event
node limit
Counts
399 → 371
Calls
Call 1
Inputs
(-.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 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #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) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.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 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))))
#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 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)
(-.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))))))
#s(literal -918938533204673/1000000000000000 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
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(*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 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 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 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
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(*.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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 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 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.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))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))
Outputs
(-.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) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #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) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #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) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #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 #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) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(*.f64 y (-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(*.f64 y (-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)))))
(*.f64 y (-.f64 (+.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(-.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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) (neg.f64 y)))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) (neg.f64 y)))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (-.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) (neg.f64 y)))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (neg.f64 (-.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) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)) y)))
(*.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 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)) y)))
(*.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 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x))) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)) y)))
(*.f64 x (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
x
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(*.f64 y (+.f64 (/.f64 x y) (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.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 #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 (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 #s(literal 1 binary64) (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 (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 (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))))
(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))))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(pow.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))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(pow.f64 (sqrt.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))
(sqrt.f64 (pow.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))
(log.f64 (exp.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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.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))
(exp.f64 (log.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))
(exp.f64 (*.f64 (log.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))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.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))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.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))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.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))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))

eval46.0ms (0.8%)

Compiler

Compiled 5773 to 1162 computations (79.9% saved)

prune49.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3656371
Fresh000
Picked202
Done000
Total3676373
Accuracy
100.0%
Counts
373 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
55.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
48.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
53.1%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
90.1%
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
46.6%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
Compiler

Compiled 100 to 74 computations (26% saved)

simplify83.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
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 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 y #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff-6272
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
cost-diff-6272
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
cost-diff0
(-.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
Rules
686×fmm-def
517×fma-define
141×cancel-sign-sub-inv
118×sub-neg
99×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019221
144213
275209
3129209
4274209
5585209
61066209
71971209
82514209
92622209
102628209
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.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)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#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 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) (*.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)
Outputs
(-.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 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.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))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.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 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.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) (*.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)

localize276.0ms (4.6%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(-.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
accuracy100.0%
(-.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
Results
245.0ms256×0valid
Compiler

Compiled 69 to 15 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
...c/correct-round.rkt:121:19: 135.0ms (81.9% of total)
ival-add: 19.0ms (11.5% of total)
ival-sub: 5.0ms (3% of total)
ival-mult: 5.0ms (3% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.7%)

Counts
6 → 87
Calls
Call 1
Inputs
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))>
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 (-.f64 #s(literal 918938533204673/1000000000000000 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 918938533204673/1000000000000000 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 #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)))))>
#<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)))))>
Calls

27 calls:

TimeVariablePointExpression
32.0ms
y
@-inf
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
1.0ms
x
@inf
(* y (- x 1/2))
1.0ms
y
@0
(* y (- x 1/2))
0.0ms
y
@inf
(* y (- x 1/2))
0.0ms
x
@-inf
(* y (- x 1/2))

rewrite162.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
940×log1p-expm1-u
940×expm1-log1p-u
520×fma-define
258×fmm-def
230×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016114
1249106
23747102
Stop Event
node limit
Counts
6 → 283
Calls
Call 1
Inputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 x y) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 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) (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)))))
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(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(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))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) #s(literal 918938533204673/1000000000000000 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) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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))) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 918938533204673/1000000000000000 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)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.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 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.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))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 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))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

simplify195.0ms (3.3%)

Algorithm
egg-herbie
Rules
880×times-frac
583×fmm-def
372×distribute-lft-neg-in
275×sub-neg
201×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061211961
1144910982
2445910913
Stop Event
node limit
Counts
370 → 394
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))))
(-.f64 #s(literal 918938533204673/1000000000000000 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 #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)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.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 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.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))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 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))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 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 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.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 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.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 x (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.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))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y) (+.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y) (+.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.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 (neg.f64 y) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y) (+.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(+.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 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #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 (*.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 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y 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 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 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 #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 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.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 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 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))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))

eval66.0ms (1.1%)

Compiler

Compiled 7297 to 1304 computations (82.1% saved)

prune76.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New5645569
Fresh101
Picked145
Done000
Total5669575
Accuracy
100.0%
Counts
575 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
48.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
46.6%
(+.f64 (*.f64 y x) (neg.f64 x))
53.1%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
55.1%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
27.9%
(*.f64 y x)
27.4%
(*.f64 y #s(literal -1/2 binary64))
46.6%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
20.8%
(neg.f64 x)
Compiler

Compiled 88 to 64 computations (27.3% saved)

simplify43.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y x)
cost-diff64
(+.f64 (*.f64 y x) (neg.f64 x))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(neg.f64 x)
cost-diff-6144
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
cost-diff0
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
Rules
273×fma-define
92×fmm-def
53×distribute-lft-in
48×distribute-rgt-in
38×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017156
134153
254153
375140
4107140
5193140
6339140
7542140
8740140
9981140
101025140
111039140
121054140
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
y
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal -1/2 binary64)
(neg.f64 x)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
(+.f64 (*.f64 y x) (neg.f64 x))
(*.f64 y x)
y
x
(neg.f64 x)
Outputs
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
y
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal -1/2 binary64)
(neg.f64 x)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 y x)
y
x
(+.f64 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 y x) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y x)
y
x
(neg.f64 x)

localize56.0ms (0.9%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 (*.f64 y x) (neg.f64 x))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
accuracy99.8%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
Results
41.0ms256×0valid
Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (34.4% of total)
...c/correct-round.rkt:121:19: 5.0ms (28.7% of total)
ival-add: 3.0ms (17.2% of total)
ival-div: 2.0ms (11.5% of total)
ival-neg: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
7 → 96
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))>
#<alt (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))>
#<alt (neg.f64 x)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (*.f64 y x)>
#<alt (+.f64 (*.f64 y x) (neg.f64 x))>
Outputs
#<alt (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)>
#<alt (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 #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 #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 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 -1 binary64) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) 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))))>
#<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))))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* y (+ (/ 918938533204673/1000000000000000 y) -1/2))
0.0ms
y
@0
(/ 918938533204673/1000000000000000 y)
0.0ms
x
@0
(* y x)
0.0ms
y
@0
(* y -1/2)
0.0ms
y
@-inf
(* y x)

rewrite134.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1059×log1p-expm1-u
1059×expm1-log1p-u
272×fma-define
261×fmm-def
174×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017104
122996
2336896
Stop Event
node limit
Counts
7 → 256
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(+.f64 (*.f64 y x) (neg.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y)))))
(*.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64) #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y))
(sqrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))))
(cbrt.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(+.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) y) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) y) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.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 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) y) (*.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 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))) (cbrt.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (sqrt.f64 (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (sqrt.f64 y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(fma.f64 (*.f64 y #s(literal 918938533204673/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (cbrt.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (sqrt.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) 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 #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 (-.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))
(-.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 #s(literal -1/2 binary64)) y))
(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 (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 x) y))
(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) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y x x)))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)))
(*.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 y x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x x))))
(cbrt.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(hypot.f64 (*.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 y x x)))
(exp.f64 (log.f64 (fma.f64 y x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x x)) #s(literal 1 binary64)))
(fma.f64 y x x)
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (+.f64 x x))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (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 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 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 y x x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (fma.f64 y x x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (+.f64 x x))
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (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 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) 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 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (+.f64 x x))
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.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)
(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 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))

simplify137.0ms (2.3%)

Algorithm
egg-herbie
Rules
486×distribute-lft-in
433×distribute-rgt-in
391×fmm-def
336×cancel-sign-sub-inv
251×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05027545
110386967
234276408
Stop Event
node limit
Counts
352 → 314
Calls
Call 1
Inputs
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
#s(literal -1/2 binary64)
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.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)
(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 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
Outputs
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) y)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) y)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) y)
(/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) y)
(/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) y)
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 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 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 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 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 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 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 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 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) 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))
(*.f64 y (-.f64 (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) 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))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(*.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 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.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 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.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 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.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)
(*.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)
(*.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)
(*.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)
(*.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))
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.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 y x)
(*.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 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) (*.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 #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 #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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(*.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))))
(/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))))
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(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (+.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (+.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y 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))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 x (-.f64 y #s(literal -1 binary64)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(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))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (fma.f64 y x x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 y x x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (+.f64 x x))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))

eval55.0ms (0.9%)

Compiler

Compiled 3884 to 719 computations (81.5% saved)

prune47.0ms (0.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New3583361
Fresh000
Picked145
Done134
Total36010370
Accuracy
100.0%
Counts
370 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(-.f64 (*.f64 y x) x)
55.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
48.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
53.1%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
55.1%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
27.9%
(*.f64 y x)
27.4%
(*.f64 y #s(literal -1/2 binary64))
20.8%
(neg.f64 x)
2.8%
x
29.5%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 55 to 41 computations (25.5% saved)

simplify20.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) x)
Rules
123×fma-define
78×fmm-def
21×cancel-sign-sub-inv
20×distribute-lft-neg-in
16×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01048
11648
22245
33345
45045
57445
616045
730445
844645
948145
1048345
Stop Event
saturated
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y x)
(*.f64 x y)
y
x

localize25.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 (*.f64 y x) x)
Results
19.0ms256×0valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
...c/correct-round.rkt:121:19: 5.0ms (57.2% of total)
ival-mult: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 y x) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) x)>
#<alt (-.f64 (*.f64 x y) 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))))>
#<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))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
(- (* y x) x)
0.0ms
y
@inf
(- (* y x) x)
0.0ms
y
@-inf
(- (* y x) x)
0.0ms
x
@-inf
(- (* y x) x)
0.0ms
x
@inf
(- (* y x) x)

rewrite82.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
616×prod-diff
489×log1p-expm1-u
489×expm1-log1p-u
458×unpow-prod-down
408×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
19919
2133919
Stop Event
node limit
Counts
1 → 118
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) x)
Outputs
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (*.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))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (neg.f64 x)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 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))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x (neg.f64 x))
(fma.f64 y x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(fma.f64 x y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) 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 (neg.f64 x) x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 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 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))

simplify108.0ms (1.8%)

Algorithm
egg-herbie
Rules
636×fma-define
427×distribute-lft-neg-in
365×distribute-rgt-neg-in
307×div-sub
249×cancel-sign-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02474115
15563668
214553635
349853635
Stop Event
node limit
Counts
142 → 144
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) x)
(-.f64 (*.f64 x y) 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 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 (*.f64 y x) (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (*.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))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 y #s(literal 1 binary64))))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (neg.f64 x)))
(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 2 binary64)) #s(literal 1/2 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))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 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))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y x (neg.f64 x))
(fma.f64 y x (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(fma.f64 x y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) 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 (neg.f64 x) x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 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 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 y x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.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 y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 (neg.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
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(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.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 y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) 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 y x 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))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) 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 y x 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))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) 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 y x 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))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (+.f64 (neg.f64 x) x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) y))

eval21.0ms (0.4%)

Compiler

Compiled 2065 to 356 computations (82.8% saved)

prune25.0ms (0.4%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New1590159
Fresh000
Picked033
Done077
Total15910169
Accuracy
100.0%
Counts
169 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(-.f64 (*.f64 y x) x)
55.3%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
48.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
53.1%
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
55.1%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
27.9%
(*.f64 y x)
27.4%
(*.f64 y #s(literal -1/2 binary64))
20.8%
(neg.f64 x)
2.8%
x
29.5%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 153 to 78 computations (49% saved)

regimes27.0ms (0.5%)

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

4 calls:

9.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
7.0ms
x
5.0ms
y
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.2%)

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

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
98.5%3x
97.4%3y
Compiler

Compiled 6 to 4 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
98.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (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:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.4%3y
78.8%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 5
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 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.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
x
3.0ms
y
Results
AccuracySegmentsBranch
78.8%5x
78.1%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
6 → 5
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 #s(literal -1/2 binary64))
(*.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
77.3%5y
61.1%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

5.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
59.8%5x
59.0%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
53.7%3y
52.8%5x
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
x
2.0ms
y
Results
AccuracySegmentsBranch
47.6%3x
29.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -17.6b remaining (-39%)

Threshold costs -17.6b (-39%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
29.5%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch41.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.76364933185992e-24
16.847848265349867
16.0ms
-1.1592623267011144
-0.00011312856370244927
Results
24.0ms304×0valid
Compiler

Compiled 322 to 253 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
...c/correct-round.rkt:121:19: 6.0ms (39.1% of total)
ival-mult: 4.0ms (26.1% of total)
ival-sub: 3.0ms (19.5% of total)
ival-add: 2.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
4.76364933185992e-24
16.847848265349867
17.0ms
-1.1592623267011144
-0.00011312856370244927
Results
28.0ms304×0valid
Compiler

Compiled 322 to 261 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
...c/correct-round.rkt:121:19: 7.0ms (43% of total)
ival-mult: 4.0ms (24.6% of total)
ival-sub: 3.0ms (18.4% of total)
ival-add: 2.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.10890332165037217
110877.32296372173
17.0ms
-910.5180900924312
-0.0012059202365756313
Results
25.0ms288×0valid
Compiler

Compiled 270 to 212 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
...c/correct-round.rkt:121:19: 8.0ms (48.2% of total)
ival-mult: 4.0ms (24.1% of total)
ival-sub: 3.0ms (18.1% of total)
ival-add: 2.0ms (12% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
13182845081.379553
2497895991056.641
16.0ms
2.0061697187377363e-254
8.802441174585982e-251
14.0ms
-7.124420666818424e-173
-7.0046939702606e-175
16.0ms
-0.00011312856370244927
-9.010009074763948e-9
Results
40.0ms480×0valid
Compiler

Compiled 408 to 329 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
...c/correct-round.rkt:121:19: 9.0ms (35.9% of total)
ival-mult: 8.0ms (31.9% of total)
ival-sub: 5.0ms (19.9% of total)
ival-add: 3.0ms (12% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.3352539400734995e+48
3.1360937777783396e+49
17.0ms
0.10890332165037217
110877.32296372173
15.0ms
-10514797.69438223
-910.5180900924312
14.0ms
-2.7216378382985056e+260
-3.7710949189158312e+258
Results
43.0ms480×0valid
Compiler

Compiled 378 to 284 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
...c/correct-round.rkt:121:19: 10.0ms (37.6% of total)
ival-sub: 7.0ms (26.3% of total)
ival-mult: 7.0ms (26.3% of total)
ival-add: 3.0ms (11.3% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch73.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.76364933185992e-24
16.847848265349867
16.0ms
2.0061697187377363e-254
8.802441174585982e-251
14.0ms
-7.124420666818424e-173
-7.0046939702606e-175
16.0ms
-0.00011312856370244927
-9.010009074763948e-9
Results
46.0ms544×0valid
Compiler

Compiled 358 to 301 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
...c/correct-round.rkt:121:19: 10.0ms (34.5% of total)
ival-mult: 7.0ms (24.2% of total)
ival-sub: 6.0ms (20.7% of total)
ival-add: 5.0ms (17.3% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.10890332165037217
110877.32296372173
18.0ms
-910.5180900924312
-0.0012059202365756313
Results
26.0ms288×0valid
Compiler

Compiled 198 to 176 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
...c/correct-round.rkt:121:19: 5.0ms (34.9% of total)
ival-mult: 4.0ms (27.9% of total)
ival-sub: 3.0ms (20.9% of total)
ival-add: 1.0ms (7% of total)
const: 0.0ms (0% 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
16.847848265349867
161.72047864452827
15.0ms
-0.00011312856370244927
-9.010009074763948e-9
Results
19.0ms224×0valid
Compiler

Compiled 144 to 126 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 4.0ms (32.3% of total)
...c/correct-round.rkt:121:19: 4.0ms (32.3% of total)
ival-mult: 3.0ms (24.2% of total)
ival-add: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
11×+-commutative
sub-neg
*-commutative
if-if-or-not
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090630
1124630
2141630
3148630
4151630
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 x #s(literal -5584463537939415/9007199254740992 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 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 -3152519739159347/2251799813685248 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal -5847854795536261/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 3353432082404125/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 13500000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -76000000000000000049249302963050194128846775340534209950601410174503692243558488941688027169730701999985312576462889804541037034994595888377688606367556804893630217086097129394006070913164554614109737003678766566057628856603785445516772194135649625999633547264 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -920 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 6530219459687219/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 4600000000000000039431601178137144439738608910336 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -4099067742394941/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 7351754949885967/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))))
(if (<=.f64 y #s(literal -8196551321814303/4503599627370496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 17 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 x #s(literal -5584463537939415/9007199254740992 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 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 -5404319552844595/9007199254740992 binary64)) (not (<=.f64 x #s(literal 1170935903116329/2251799813685248 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 -3152519739159347/2251799813685248 binary64)) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (not (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal -5847854795536261/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 3353432082404125/64489078507771636517619602650941968569195230229018740494135828738607654120693952572560700181598777819174120482575333090683880317322105168121403683894401803821824546386597300313565859091360649542605497181178123584490726109955024626323046496431523007383976877550993408 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 13500000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -76000000000000000049249302963050194128846775340534209950601410174503692243558488941688027169730701999985312576462889804541037034994595888377688606367556804893630217086097129394006070913164554614109737003678766566057628856603785445516772194135649625999633547264 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -920 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 6530219459687219/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 4600000000000000039431601178137144439738608910336 binary64)) (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -4099067742394941/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 7351754949885967/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))))
(if (<=.f64 y #s(literal -8196551321814303/4503599627370496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
(if (or (<=.f64 y #s(literal -8196551321814303/4503599627370496 binary64)) (not (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)))) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(if (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 17 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (or (<=.f64 x #s(literal -8116567392432203/73786976294838206464 binary64)) (not (<=.f64 x #s(literal 17 binary64)))) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (22.4%)

Rules
2165×fmm-def
1059×log1p-expm1-u
1059×expm1-log1p-u
1049×log1p-expm1-u
1049×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017104
122996
2336896
061211961
1144910982
2445910913
019151
1282151
24320151
066712444
1166211402
2588711222
033304
198264
2250236
3786224
42305224
53793224
64333224
74467224
84493224
94497224
104553224
114613224
124637224
134637210
146604210
156604210
166604210
Stop Event
done
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 576 to 236 computations (59% saved)

preprocess59.0ms (1%)

Compiler

Compiled 404 to 190 computations (53% saved)

end0.0ms (0%)

Profiling

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