Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 8.0s)

analyze10.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.1s (14.1%)

Results
910.0ms8255×0valid
16.0ms314×0invalid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 617.0ms
ival-add: 343.0ms (55.6% of total)
ival-sub: 111.0ms (18% of total)
ival-sqrt: 89.0ms (14.4% of total)
ival-mult: 60.0ms (9.7% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 5.0ms (0.8% of total)
...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess109.0ms (1.4%)

Algorithm
egg-herbie
Rules
526×fmm-def
466×fma-define
120×cancel-sign-sub-inv
100×associate--r+
100×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027256
168216
2192212
3562204
41481204
52254204
62533204
72642204
82655204
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x)))))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x))))
(fma.f64 y (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 (neg.f64 x)) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 y)))
(-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y (sqrt.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 y (sqrt.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (neg.f64 x)) x))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 y))))
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))
(+.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (sqrt.f64 y)))
(fma.f64 x (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y))
(-.f64 (fma.f64 x (sqrt.f64 y) #s(literal 1 binary64)) y)

explain132.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
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
79.0ms512×0valid
Compiler

Compiled 64 to 32 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (29.6% of total)
ival-sqrt: 4.0ms (29.6% of total)
ival-sub: 3.0ms (22.2% of total)
ival-add: 2.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify31.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
Rules
151×fma-define
131×fmm-def
39×sub-neg
29×associate--r+
27×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
12472
24672
37772
415572
531872
651372
763872
871772
973172
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

localize24.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 y (sqrt.f64 x))
Results
17.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.3% of total)
ival-mult: 2.0ms (29.3% of total)
ival-sqrt: 2.0ms (29.3% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (1%)

Counts
4 → 64
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.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 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))>
Calls

18 calls:

TimeVariablePointExpression
75.0ms
x
@0
(* y (sqrt x))
1.0ms
x
@-inf
(* y (sqrt x))
1.0ms
y
@0
(* y (sqrt x))
1.0ms
y
@inf
(* y (sqrt x))
0.0ms
x
@inf
(* y (sqrt x))

rewrite286.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
775×log1p-expm1-u
775×expm1-log1p-u
665×unpow-prod-down
426×fma-define
353×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
115563
2209463
Stop Event
node limit
Counts
4 → 216
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x))

simplify217.0ms (2.7%)

Algorithm
egg-herbie
Rules
465×times-frac
433×fmm-def
333×cancel-sign-sub-inv
296×unswap-sqr
264×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05559289
111598209
236218030
Stop Event
node limit
Counts
280 → 306
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.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 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #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 binary64) x))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(+.f64 (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x))))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (exp.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1/3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 y (pow.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) y))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (*.f64 y (pow.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)

eval45.0ms (0.6%)

Compiler

Compiled 4851 to 956 computations (80.3% saved)

prune47.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New29511306
Fresh000
Picked011
Done000
Total29512307
Accuracy
100.0%
Counts
307 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
98.2%
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
99.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
97.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
81.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
99.8%
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
71.1%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
69.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
87.9%
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
65.8%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
Compiler

Compiled 276 to 193 computations (30.1% saved)

simplify143.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff256
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
cost-diff6528
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
cost-diff0
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff-6272
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
cost-diff0
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
Rules
739×fma-define
546×fmm-def
122×cancel-sign-sub-inv
121×distribute-lft-neg-in
110×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032514
165496
2133491
3263487
4494487
51007487
61882487
72541487
82719487
92754487
102761487
112769487
122775487
132775487
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
y
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
x
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
Outputs
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
y
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
x
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(fma.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
y
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (sqrt.f64 x))
y
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize167.0ms (2.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy100.0%
(pow.f64 x #s(literal 1/4 binary64))
accuracy99.6%
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
accuracy99.6%
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
accuracy66.0%
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
accuracy100.0%
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy94.6%
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
accuracy100.0%
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
accuracy99.6%
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
Results
130.0ms256×0valid
Compiler

Compiled 154 to 28 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-sub: 57.0ms (59.5% of total)
ival-pow: 14.0ms (14.6% of total)
ival-mult: 12.0ms (12.5% of total)
ival-add: 5.0ms (5.2% of total)
ival-sqrt: 4.0ms (4.2% of total)
ival-div: 2.0ms (2.1% of total)
ival-cbrt: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series95.0ms (1.2%)

Counts
18 → 270
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))>
#<alt (pow.f64 x #s(literal 3/2 binary64))>
#<alt (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))>
#<alt (pow.f64 x #s(literal 1/4 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))>
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#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)>
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#<alt (*.f64 y (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
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#<alt (-.f64 #s(literal 1 binary64) x)>
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#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
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#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
Calls

87 calls:

TimeVariablePointExpression
38.0ms
x
@0
(pow x 1/4)
21.0ms
x
@-inf
(pow x 1/4)
6.0ms
x
@inf
(pow x 1/4)
4.0ms
x
@-inf
(* y (cbrt (pow x 3/2)))
3.0ms
x
@-inf
(* x (- (* (sqrt (/ 1 x)) y) 1))

rewrite280.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
788×log1p-expm1-u
224×expm1-log1p-u
214×pow1
207×add-cube-cbrt
202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032390
1535330
26973330
Stop Event
node limit
Counts
18 → 450
Calls
Call 1
Inputs
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
Outputs
(-.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 x)))) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 x (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (/.f64 x (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (/.f64 x (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 x))) (sqrt.f64 (/.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify299.0ms (3.8%)

Algorithm
egg-herbie
Rules
382×associate-*r*
365×associate-*l*
352×exp-prod
319×cube-prod
281×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078722150
1164319533
2579318790
Stop Event
node limit
Counts
720 → 520
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(neg.f64 (*.f64 y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 y (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 y (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 y (*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 y (*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (sqrt.f64 x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 y (*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (-.f64 x (*.f64 (sqrt.f64 x) y)))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/4 binary64))
(fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(pow.f64 x #s(literal 1/4 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/4 binary64))

eval186.0ms (2.3%)

Compiler

Compiled 13818 to 2497 computations (81.9% saved)

prune537.0ms (6.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New88710897
Fresh516
Picked415
Done101
Total89712909
Accuracy
100.0%
Counts
909 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(-.f64 #s(literal 1 binary64) x)
71.0%
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
69.0%
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
71.1%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
69.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
51.3%
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
65.8%
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
65.7%
(*.f64 x (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) y) #s(literal 1 binary64)))
36.1%
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
36.1%
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
32.3%
(neg.f64 x)
29.6%
#s(literal 1 binary64)
Compiler

Compiled 218 to 156 computations (28.4% saved)

simplify107.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 x (sqrt.f64 x))
cost-diff0
(*.f64 y (/.f64 x (sqrt.f64 x)))
cost-diff64
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(neg.f64 x)
cost-diff64
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
Rules
564×fma-define
383×fmm-def
131×unsub-neg
110×times-frac
96×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021277
143273
269273
3107270
4170270
5337270
6671270
71771270
82270270
92644270
102799270
112813270
122825270
132830270
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(neg.f64 x)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
(*.f64 y (/.f64 x (sqrt.f64 x)))
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(neg.f64 x)
Outputs
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(-.f64 (*.f64 y (sqrt.f64 x)) x)
(neg.f64 x)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
y
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
(-.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) x)
(-.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) x)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 x (/.f64 y (sqrt.f64 x)))
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(neg.f64 x)

localize60.0ms (0.8%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
accuracy99.6%
(*.f64 y (/.f64 x (sqrt.f64 x)))
accuracy99.2%
(/.f64 x (sqrt.f64 x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy88.0%
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
accuracy99.6%
(*.f64 y (sqrt.f64 x))
Results
40.0ms256×0valid
Compiler

Compiled 74 to 17 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.8% of total)
ival-div: 3.0ms (14.9% of total)
ival-sqrt: 3.0ms (14.9% of total)
ival-add: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))>
#<alt (neg.f64 x)>
#<alt (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))>
#<alt (+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))>
#<alt (*.f64 y (/.f64 x (sqrt.f64 x)))>
#<alt (/.f64 x (sqrt.f64 x))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x 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 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 x)>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ (neg x) (* y (sqrt x)))
2.0ms
x
@-inf
(+ (neg x) (* y (sqrt x)))
1.0ms
x
@-inf
(+ (* y (/ x (sqrt x))) (neg x))
1.0ms
x
@-inf
(/ x (sqrt x))
0.0ms
y
@-inf
(+ (neg x) (* y (sqrt x)))

rewrite195.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
948×log1p-expm1-u
948×expm1-log1p-u
425×fma-define
315×fmm-def
124×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020137
130890
2437390
Stop Event
node limit
Counts
6 → 693
Calls
Call 1
Inputs
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(neg.f64 x)
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
Outputs
(-.f64 x (*.f64 y (sqrt.f64 x)))
(-.f64 (*.f64 y (sqrt.f64 x)) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(*.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) x) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 x) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 x (/.f64 y (sqrt.f64 x)) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 y (sqrt.f64 x))))
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(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))

simplify453.0ms (5.7%)

Algorithm
egg-herbie
Rules
514×associate-*l*
485×associate-*r*
485×times-frac
347×exp-prod
342×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061130197
1129227225
2579427131
Stop Event
node limit
Counts
813 → 485
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(-.f64 x (*.f64 y (sqrt.f64 x)))
(-.f64 (*.f64 y (sqrt.f64 x)) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x)) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(*.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) x) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y (sqrt.f64 x) x) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 x) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
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(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 x y)))
(/.f64 (*.f64 x y) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 x y)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.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 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal 1 binary64)))
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(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (/.f64 y (sqrt.f64 x))) x)
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
(fma.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 (sqrt.f64 x))) x)
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(*.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (*.f64 y (sqrt.f64 x))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 x) y))))
(neg.f64 (fma.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 x) y)) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (sqrt.f64 x)))))
(neg.f64 (fma.f64 (sqrt.f64 x) y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(/.f64 (neg.f64 (*.f64 x y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(/.f64 (/.f64 (*.f64 x y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (*.f64 x (/.f64 y (cbrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 x (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 y (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 x) y))
(log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(*.f64 (sqrt.f64 x) y)
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) y)
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) y)))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 x (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(sqrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 x)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(sqrt.f64 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 x)))
(sqrt.f64 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))
(sqrt.f64 x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x))))
(neg.f64 (sqrt.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(sqrt.f64 x)

eval155.0ms (1.9%)

Compiler

Compiled 12115 to 1897 computations (84.3% saved)

prune167.0ms (2.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New8477854
Fresh516
Picked325
Done011
Total85511866
Accuracy
100.0%
Counts
866 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.6%
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
48.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
36.6%
(/.f64 (*.f64 x y) (sqrt.f64 x))
41.3%
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
71.1%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
60.6%
(-.f64 #s(literal 1 binary64) x)
69.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
41.3%
(*.f64 (sqrt.f64 x) y)
36.1%
(*.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
32.3%
(neg.f64 x)
29.6%
#s(literal 1 binary64)
Compiler

Compiled 150 to 99 computations (34% saved)

simplify85.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 (sqrt.f64 x))
cost-diff0
(cbrt.f64 x)
cost-diff0
(*.f64 y (cbrt.f64 x))
cost-diff0
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(neg.f64 x)
cost-diff-6336
(-.f64 (*.f64 (sqrt.f64 x) y) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
Rules
798×fma-define
328×fmm-def
214×times-frac
108×associate-/l*
104×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019251
132251
247251
368251
487251
5110251
6184251
7326251
8608251
91547251
102415251
112889251
123097251
133125251
143125251
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(neg.f64 x)
x
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x y)
x
y
(sqrt.f64 x)
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
(*.f64 y (cbrt.f64 x))
y
(cbrt.f64 x)
x
(cbrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(neg.f64 x)
x
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(*.f64 x y)
x
y
(sqrt.f64 x)
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
(fma.f64 y (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) x)
(fma.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 (sqrt.f64 x))) x)
(*.f64 y (cbrt.f64 x))
y
(cbrt.f64 x)
x
(cbrt.f64 (sqrt.f64 x))
(sqrt.f64 x)

localize73.0ms (0.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
accuracy99.7%
(*.f64 y (cbrt.f64 x))
accuracy99.1%
(cbrt.f64 x)
accuracy99.0%
(cbrt.f64 (sqrt.f64 x))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(sqrt.f64 x)
accuracy84.6%
(/.f64 (*.f64 x y) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
accuracy99.6%
(*.f64 (sqrt.f64 x) y)
Results
57.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (29.8% of total)
ival-cbrt: 3.0ms (17.9% of total)
ival-div: 2.0ms (11.9% of total)
ival-fma: 2.0ms (11.9% of total)
ival-sqrt: 2.0ms (11.9% of total)
ival-sub: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.8%)

Counts
7 → 109
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (sqrt.f64 x) y) x)>
#<alt (/.f64 (*.f64 x y) (sqrt.f64 x))>
#<alt (*.f64 x y)>
#<alt (fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)>
#<alt (*.f64 y (cbrt.f64 x))>
#<alt (cbrt.f64 x)>
#<alt (cbrt.f64 (sqrt.f64 x))>
Outputs
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt x>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (+.f64 x (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 (cbrt.f64 x) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
Calls

36 calls:

TimeVariablePointExpression
25.0ms
y
@0
(+ (* (* y (cbrt x)) (cbrt (sqrt x))) x)
13.0ms
x
@0
(+ (* (* y (cbrt x)) (cbrt (sqrt x))) x)
7.0ms
x
@0
(cbrt (sqrt x))
3.0ms
x
@-inf
(cbrt x)
3.0ms
x
@-inf
(+ (* (* y (cbrt x)) (cbrt (sqrt x))) x)

rewrite258.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
927×prod-diff
726×log1p-expm1-u
726×expm1-log1p-u
311×fma-define
198×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018141
1241122
23225122
Stop Event
node limit
Counts
7 → 398
Calls
Call 1
Inputs
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x y)
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
(*.f64 y (cbrt.f64 x))
(cbrt.f64 x)
(cbrt.f64 (sqrt.f64 x))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (+.f64 (neg.f64 x) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
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(exp.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))

simplify394.0ms (4.9%)

Algorithm
egg-herbie
Rules
758×fmm-def
334×associate-*r*
307×associate-*l*
239×+-commutative
226×fma-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08324294999262
119394294993563
261044294993101
Stop Event
node limit
Counts
507 → 549
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 x y))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
x
(+.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 x (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (sqrt.f64 x) y)
(+.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 x (*.f64 (sqrt.f64 x) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 (cbrt.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal -1 binary64))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (+.f64 (neg.f64 x) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x x))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 1/6 binary64))))))
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(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (fma.f64 y (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 (sqrt.f64 x) y))
(fma.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(*.f64 x (/.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 y (*.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (sqrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (/.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 y (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 x (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (sqrt.f64 x)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 x (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 (sqrt.f64 x) y) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (+.f64 y (sqrt.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y x)) (sqrt.f64 (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(pow.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) y x))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) y x)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (cbrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (cbrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (cbrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (cbrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (cbrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (cbrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(pow.f64 x #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
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(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
(cbrt.f64 (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 1/6 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 x))))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 x))
(pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 x #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 x))
(sqrt.f64 (cbrt.f64 x))
(fabs.f64 (pow.f64 x #s(literal 1/6 binary64)))
(sqrt.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (pow.f64 x #s(literal 1/6 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 1/6 binary64)))))
(pow.f64 x #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 1/6 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))))
(pow.f64 x #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/6 binary64))

eval175.0ms (2.2%)

Compiler

Compiled 16296 to 1768 computations (89.2% saved)

prune132.0ms (1.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New8755880
Fresh123
Picked145
Done033
Total87714891
Accuracy
100.0%
Counts
891 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
36.6%
(/.f64 (*.f64 x y) (sqrt.f64 x))
41.3%
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
2.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
70.7%
(-.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) x)
71.1%
(-.f64 (*.f64 (sqrt.f64 x) y) x)
60.6%
(-.f64 #s(literal 1 binary64) x)
69.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
36.6%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y))
41.3%
(*.f64 (sqrt.f64 x) y)
41.3%
(*.f64 y (/.f64 x (sqrt.f64 x)))
32.3%
(neg.f64 x)
2.6%
x
29.6%
#s(literal 1 binary64)
Compiler

Compiled 377 to 158 computations (58.1% saved)

regimes94.0ms (1.2%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (sqrt.f64 x) y)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 (*.f64 y (/.f64 x (sqrt.f64 x))) (neg.f64 x))
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)))
(*.f64 y (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 x (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) y) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)))
(fma.f64 (*.f64 y (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) x)
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 x (fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Calls

3 calls:

74.0ms
x
9.0ms
y
9.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (sqrt.f64 x) y)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(/.f64 (*.f64 x y) (sqrt.f64 x))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x y))
(+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
Calls

2 calls:

6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
99.2%2x
96.9%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
95.5%3y
82.8%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
93.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (sqrt.f64 x) y)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
Outputs
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 1 binary64) x)
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
93.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (sqrt.f64 x) y)
Outputs
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
93.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
60.6%1x
63.9%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 #s(literal 1 binary64) x)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
60.6%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
Outputs
#s(literal 1 binary64)
(neg.f64 x)
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
59.9%2x
39.1%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -17.4b remaining (-38.7%)

Threshold costs -17.4b (-38.7%)

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

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
29.6%1y
29.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
3.411574637039453e-19
4.24468064298474e-15
Results
7.0ms128×0valid
Compiler

Compiled 157 to 116 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (30.3% of total)
ival-add: 1.0ms (30.3% of total)
ival-mult: 1.0ms (30.3% of total)
ival-sqrt: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.587351841451309e+66
1.6336970579990202e+78
16.0ms
-6.433661634628469e+24
-88322489258.69585
Results
19.0ms320×0valid
Compiler

Compiled 313 to 252 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (24.2% of total)
ival-mult: 2.0ms (24.2% of total)
ival-sqrt: 2.0ms (24.2% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.587351841451309e+66
1.6336970579990202e+78
15.0ms
-2.4418271618160845e+76
-3.3628268903169185e+60
Results
19.0ms320×0valid
Compiler

Compiled 303 to 232 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (23.9% of total)
ival-mult: 2.0ms (23.9% of total)
ival-sqrt: 2.0ms (23.9% of total)
ival-add: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.587351841451309e+66
1.6336970579990202e+78
15.0ms
-2.4418271618160845e+76
-3.3628268903169185e+60
Results
19.0ms320×0valid
Compiler

Compiled 283 to 222 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 4.0ms (39.4% of total)
ival-sub: 2.0ms (19.7% of total)
ival-mult: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch73.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
57.0ms
4.587351841451309e+66
1.6336970579990202e+78
13.0ms
-2.4418271618160845e+76
-3.3628268903169185e+60
Results
17.0ms320×0valid
Compiler

Compiled 273 to 212 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (24.3% of total)
ival-mult: 2.0ms (24.3% of total)
ival-sqrt: 2.0ms (24.3% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-1.3265689694445787e+159
-1.9975388999025527e+137
Results
9.0ms176×0valid
Compiler

Compiled 244 to 166 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.5% of total)
ival-add: 1.0ms (21.5% of total)
ival-mult: 1.0ms (21.5% of total)
ival-sqrt: 1.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
3.411574637039453e-19
4.24468064298474e-15
Results
7.0ms128×0valid
Compiler

Compiled 85 to 76 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (31.1% of total)
ival-add: 1.0ms (31.1% of total)
ival-mult: 1.0ms (31.1% of total)
ival-sqrt: 1.0ms (31.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify34.0ms (0.4%)

Algorithm
egg-herbie
Rules
47×distribute-lft-neg-in
41×unsub-neg
37×cancel-sign-sub
30×neg-sub0
30×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060456
195452
2113452
3143452
4174452
5207452
6237452
7265452
8304452
9337452
10365452
11391452
12407452
13413452
14414452
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(if (<=.f64 y #s(literal -115999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 6599999999999999712459709685148522653471757528512453097050625934360576 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (<=.f64 y #s(literal -150000000000000010879715457229385268923756161446978293327731523321856 binary64)) (*.f64 y (/.f64 x (sqrt.f64 x))) (if (<=.f64 y #s(literal 919999999999999979017801965873421000344999635877225929425521525898925544833024 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -12800000000000000448281559800724630149898280678183913677423378432 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 2600000000000000188581734591976011328011773465080957084347346404245504 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(if (<=.f64 x #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(if (<=.f64 x #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 y (sqrt.f64 x)) x))
(if (<=.f64 y #s(literal -115999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 6599999999999999712459709685148522653471757528512453097050625934360576 binary64)) (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(if (or (<=.f64 y #s(literal -115999999999999991611392 binary64)) (not (<=.f64 y #s(literal 6599999999999999712459709685148522653471757528512453097050625934360576 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -150000000000000010879715457229385268923756161446978293327731523321856 binary64)) (*.f64 y (/.f64 x (sqrt.f64 x))) (if (<=.f64 y #s(literal 919999999999999979017801965873421000344999635877225929425521525898925544833024 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -12800000000000000448281559800724630149898280678183913677423378432 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 2600000000000000188581734591976011328011773465080957084347346404245504 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -12800000000000000448281559800724630149898280678183913677423378432 binary64)) (*.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 2600000000000000188581734591976011328011773465080957084347346404245504 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(if (or (<=.f64 y #s(literal -21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (not (<=.f64 y #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)))) (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

soundness1.3s (16.8%)

Rules
948×log1p-expm1-u
948×expm1-log1p-u
927×prod-diff
775×log1p-expm1-u
775×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
115563
2209463
078722150
1164319533
2579318790
020137
130890
2437390
061130197
1129227225
2579427131
05559289
111598209
236218030
018141
1241122
23225122
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 585 to 227 computations (61.2% saved)

preprocess83.0ms (1%)

Compiler

Compiled 278 to 118 computations (57.6% saved)

end0.0ms (0%)

Profiling

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