2sqrt (example 3.1)

Time bar (total: 10.1s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.1s (20.5%)

Results
0.0ms256valid
0.0ms256valid
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0.0ms512valid
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0.0ms256valid
0.0ms1024valid
1.0ms1024valid
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0.0ms256valid
1.0ms1024valid
0.0ms512valid
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0.0ms2048valid
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Bogosity

preprocess216.0ms (2.1%)

Algorithm
egg-herbie
Rules
168×fma-define
132×fma-neg
64×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
00-0-(sqrt.f64 (+.f64 x 1))
00-0-x
00-0-(+.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))cancellation255
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8453116
9488116
10514116
11516116
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (neg.f64 x))))
(-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 56 to 38 computations (32.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize68.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
6.4%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 20 to 13 computations (35% saved)

series7.0ms (0.1%)

Counts
2 → 5
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))
1.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))

rewrite199.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1664×prod-diff
822×fma-define
614×log1p-expm1-u
614×expm1-log1p-u
536×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113241
2174241
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
Outputs
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 1 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x 1/6)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))

simplify103.0ms (1%)

Algorithm
egg-herbie
Rules
1102×div-sub
546×unswap-sqr
542×fma-neg
476×associate-+l+
466×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03153642
17233215
219682586
363692276
Stop Event
node limit
Counts
149 → 187
Calls
Call 1
Inputs
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (exp.f64 (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 1 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1 (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x 1/6)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
Outputs
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/8))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x)))
1
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
1
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
1
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
1
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
1
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))
1
(+.f64 (fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x 1)) 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (*.f64 0 (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (fabs.f64 (cbrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (E.f64))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))))
1
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1)
1
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (exp.f64 1)))
1
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(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x) x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x) x)))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 x (+.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
1
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
1
(fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
1
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 -1 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
1
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
1
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
1
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (sqrt.f64 x)) 1))
1
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
1
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (*.f64 0 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (*.f64 0 (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (+.f64 1 (sqrt.f64 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(+.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (sqrt.f64 x))

eval61.0ms (0.6%)

Compiler

Compiled 3043 to 1927 computations (36.7% saved)

prune41.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New17017187
Fresh000
Picked011
Done000
Total17018188
Accuracy
11.9%
Counts
188 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.2%
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
6.2%
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
5.7%
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
6.3%
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
7.9%
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
7.1%
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
5.4%
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
9.1%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
6.2%
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
6.3%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x))
6.5%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
7.9%
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
5.9%
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
6.0%
(-.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
6.1%
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
6.1%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
5.9%
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
7.0%
1
Compiler

Compiled 512 to 362 computations (29.3% saved)

localize503.0ms (5%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
99.3%
(cbrt.f64 (+.f64 x 1))
99.2%
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
6.0%
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
100.0%
(sqrt.f64 (+.f64 x 1))
99.3%
(cbrt.f64 x)
93.7%
(pow.f64 x 1/6)
7.3%
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
99.2%
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
6.4%
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
99.6%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
8.5%
(+.f64 x (-.f64 1 x))
Compiler

Compiled 151 to 100 computations (33.8% saved)

series95.0ms (0.9%)

Counts
12 → 45
Calls

36 calls:

TimeVariablePointExpression
26.0ms
x
@0
(pow.f64 x 1/6)
20.0ms
x
@-inf
(pow.f64 x 1/6)
7.0ms
x
@inf
(pow.f64 x 1/6)
5.0ms
x
@0
(cbrt.f64 (+.f64 x 1))
3.0ms
x
@-inf
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite200.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
320×expm1-log1p-u
246×associate-*r*
188×add-cube-cbrt
187×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031234
1484214
26364214
Stop Event
node limit
Counts
12 → 646
Calls
Call 1
Inputs
(+.f64 x (-.f64 1 x))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(pow.f64 x 1/6)
(cbrt.f64 x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
(cbrt.f64 (+.f64 x 1))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
Outputs
(-.f64 1 (-.f64 x x))
(-.f64 (+.f64 x 1) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x 1)))) 1)
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(*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (+.f64 x (+.f64 x 1)))
(*.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (cbrt.f64 (+.f64 x (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (/.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (+.f64 x (+.f64 x 1)))) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (+.f64 x (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) 1) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 x (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))))
(/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (-.f64 x (+.f64 x 1))))
(/.f64 (-.f64 x (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (-.f64 x (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2)) 1) (*.f64 (-.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (-.f64 x (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 1) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (cbrt.f64 (+.f64 x (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(pow.f64 (+.f64 x (+.f64 x 1)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) -1)
(neg.f64 (/.f64 (+.f64 x (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(sqrt.f64 (+.f64 x (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 3) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(hypot.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 1/2) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))
(*.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1/2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 1/2) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))
(*.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1/2))

simplify215.0ms (2.1%)

Algorithm
egg-herbie
Rules
1472×times-frac
1276×associate-*r*
1238×associate-*l*
848×associate-/r*
548×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067126745
1158323579
Stop Event
node limit
Counts
691 → 474
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
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1
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1
1
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1
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1
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(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x 1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1/2))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))))
(+.f64 (sqrt.f64 x) (fma.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 7/64))))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))))
(fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 2)) -1/8) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -7/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)) (*.f64 3/64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) x)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) -1/16) (pow.f64 x 3)) (fma.f64 -3/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) 2)))))
(-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (pow.f64 x 2)) -1/8) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) -1/16) (pow.f64 x 3)))
1
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
1
1
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (*.f64 x 2/3))
(fma.f64 x 2/3 1)
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (*.f64 2/3 x)))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (*.f64 x 2/3)))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/9 (*.f64 x 2/3)))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 (*.f64 4/81 (pow.f64 x 3)) (*.f64 2/3 x))))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (fma.f64 4/81 (pow.f64 x 3) (*.f64 x 2/3))))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/9 (fma.f64 (pow.f64 x 3) 4/81 (*.f64 x 2/3))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (*.f64 x 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/9 (*.f64 x 1/3)))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/9 (*.f64 (pow.f64 x 3) 5/81)) (fma.f64 x 1/3 1))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (*.f64 x 1/3)))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/9 (*.f64 x 1/3)))
(+.f64 1 (+.f64 (*.f64 -1/9 (pow.f64 x 2)) (+.f64 (*.f64 5/81 (pow.f64 x 3)) (*.f64 1/3 x))))
(+.f64 1 (fma.f64 -1/9 (pow.f64 x 2) (fma.f64 5/81 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/9 (*.f64 (pow.f64 x 3) 5/81)) (fma.f64 x 1/3 1))
(-.f64 1 (-.f64 x x))
1
(-.f64 (+.f64 x 1) x)
1
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x 1)))) 1)
(expm1.f64 (log1p.f64 (+.f64 (+.f64 x x) 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 2 x))))
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 x (+.f64 x 1))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 1 (+.f64 x (+.f64 x 1)))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (+.f64 x (+.f64 x 1)) 1)
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (+.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 x x) 1)) (*.f64 (sqrt.f64 (+.f64 (+.f64 x x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 x x) 1)))))
(*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x 1))) 2) (cbrt.f64 (+.f64 x (+.f64 x 1))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (*.f64 (+.f64 1 x) (+.f64 (+.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 2 x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (-.f64 x (+.f64 x 1))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))))) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (cbrt.f64 (+.f64 x (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 x x) 1)) (*.f64 (sqrt.f64 (+.f64 (+.f64 x x) 1)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 x x) 1)))))
(*.f64 (cbrt.f64 (+.f64 1 (*.f64 2 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 2 x)))) 4))
(/.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (*.f64 (+.f64 1 x) (+.f64 (+.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 2 x)))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x 1)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (+.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (+.f64 x (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1))))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 x 1))) 3) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (pow.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x (+.f64 x 1)))
(neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(+.f64 1 (*.f64 2 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x x (*.f64 (+.f64 1 x) (+.f64 (+.f64 x x) 1))))
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(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (+.f64 x 1) 1/3)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(cbrt.f64 (+.f64 1 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(cbrt.f64 (+.f64 1 x))
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1/2))
(cbrt.f64 (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 1 (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) 1)
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (pow.f64 (+.f64 x 1) 1/6))
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2))
(cbrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 1 1/2) (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (+.f64 1 x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 2))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (+.f64 x 1) 1/3)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 1)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2)
(cbrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(cbrt.f64 (+.f64 1 x))
(fabs.f64 (cbrt.f64 (+.f64 x 1)))
(cbrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x 1)))))
(cbrt.f64 (+.f64 1 x))
(cbrt.f64 (+.f64 x 1))
(cbrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x 1))))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/3 (log1p.f64 x)))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/3))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 1))
(cbrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) 1/2))
(cbrt.f64 (+.f64 1 x))

eval301.0ms (3%)

Compiler

Compiled 14599 to 10058 computations (31.1% saved)

prune93.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7385743
Fresh12012
Picked415
Done011
Total7547761
Accuracy
99.6%
Counts
761 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
9.1%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
4.4%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
20.3%
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
6.5%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
7.0%
1
Compiler

Compiled 156 to 116 computations (25.6% saved)

localize597.0ms (5.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
99.2%
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
57.0%
(sqrt.f64 (fma.f64 x x -1))
8.5%
(+.f64 x (-.f64 1 x))
100.0%
(+.f64 x (+.f64 x 1))
99.6%
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
99.2%
(/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1))))
8.5%
(+.f64 x (-.f64 1 x))
100.0%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
8.5%
(+.f64 x (-.f64 1 x))
99.6%
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Compiler

Compiled 222 to 145 computations (34.7% saved)

series31.0ms (0.3%)

Counts
9 → 45
Calls

27 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
2.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
2.0ms
x
@0
(sqrt.f64 (fma.f64 x x -1))
2.0ms
x
@-inf
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.0ms
x
@-inf
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))

rewrite99.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
321×log1p-expm1-u
321×expm1-log1p-u
304×add-exp-log
304×add-log-exp
304×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037373
1688252
Stop Event
node limit
Counts
9 → 275
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1))))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(+.f64 x (+.f64 x 1))
(sqrt.f64 (fma.f64 x x -1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x 2 1) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 2 1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2))
(*.f64 (pow.f64 (fma.f64 x 2 1) -1/2) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (fma.f64 x 2 1)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (cbrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 1)) 1) -1)
(pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 1)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 1) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x 2))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 1) -1/2)) 1))
(exp.f64 (-.f64 (*.f64 1/2 (log1p.f64 (*.f64 x 2))) (log1p.f64 (*.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) (/.f64 x (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 2)) (/.f64 (+.f64 x (-.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
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(*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (+.f64 x -1) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (pow.f64 (+.f64 x -1) 1/4)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 1/4) (cbrt.f64 (+.f64 x -1))) (/.f64 (pow.f64 (fma.f64 x x -1) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 x -1)))))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1))) -1)
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (/.f64 (+.f64 x (-.f64 1 x)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 (+.f64 x (-.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))

simplify200.0ms (2%)

Algorithm
egg-herbie
Rules
1776×log-prod
1508×times-frac
686×associate-/r*
668×associate-*r*
596×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067712801
1161610841
2748810825
Stop Event
node limit
Counts
320 → 405
Calls
Call 1
Inputs
1
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -5/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
1
(/.f64 2 x)
(/.f64 2 x)
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -5/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 2 x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 x 2 1) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 2 1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2))
(*.f64 (pow.f64 (fma.f64 x 2 1) -1/2) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (fma.f64 x 2 1)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (cbrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 1)) 1) -1)
(pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 1)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 1) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x 2))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 1) -1/2)) 1))
(exp.f64 (-.f64 (*.f64 1/2 (log1p.f64 (*.f64 x 2))) (log1p.f64 (*.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) (/.f64 x (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 1 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (+.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 2)) (/.f64 (+.f64 x (-.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) (/.f64 (+.f64 x (-.f64 1 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1))) 3))
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 x) (fma.f64 x 1/2 1)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 (+.f64 x (-.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) 2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 1 x))) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 1 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (-.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
Outputs
1
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (*.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -5/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -5/2 (pow.f64 x 3) (fma.f64 -1 x (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -5/2 (pow.f64 x 3) (-.f64 (*.f64 3/2 (pow.f64 x 2)) x)))
1
(/.f64 2 x)
(/.f64 2 x)
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 1 x) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (fma.f64 (pow.f64 x 2) -1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 x) (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/2)))
(+.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (*.f64 (pow.f64 x 3) 1/2)))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (*.f64 3/2 (pow.f64 x 2)))
(+.f64 (*.f64 3/2 (pow.f64 x 2)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -5/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -5/2 (pow.f64 x 3) (fma.f64 -1 x (*.f64 3/2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -5/2 (pow.f64 x 3) (-.f64 (*.f64 3/2 (pow.f64 x 2)) x)))
1
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(+.f64 1 (*.f64 2 x))
(fma.f64 x 2 1)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (*.f64 (pow.f64 x 2) -1/8) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 x 1/2))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/8 (*.f64 (pow.f64 x 3) 1/16)) (fma.f64 x 1/2 1))
1
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) 1/3)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(*.f64 1 (pow.f64 (fma.f64 x 2 1) -1/2))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 2 1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x -2 -1))) (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (pow.f64 (fma.f64 x 2 1) -1/2) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1)))) (/.f64 1 (cbrt.f64 (fma.f64 x 2 1))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 x 2 1) 1/4) -1))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 2 1)) (cbrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (fma.f64 x 2 1) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (sqrt.f64 (fma.f64 x 2 1))))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (fma.f64 x 2 1) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x 2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (cbrt.f64 (fma.f64 x 2 1)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (fma.f64 x 2 1)))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (fma.f64 x 2 1) (cbrt.f64 (fma.f64 x 2 1))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) 1) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (fma.f64 x 2 1)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (sqrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(*.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x 2 1)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 1) 1/4) (cbrt.f64 (fma.f64 x 2 1))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 1) -1/2)) 3)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3) 1/3)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 1)) -1/2) 2)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 2 1)) 1) -1)
(pow.f64 (fma.f64 x 2 1) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 1)
(pow.f64 (fma.f64 x 2 1) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(sqrt.f64 (/.f64 -1 (fma.f64 x -2 -1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x 2 1) -1/2)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x 2 1) -1/2))))
(pow.f64 (fma.f64 x 2 1) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x 2 1) -1/2) 3))
(pow.f64 (fma.f64 x 2 1) -1/2)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 2 1) 3/2) (pow.f64 (fma.f64 x 2 1) 3)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 1 x) x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

eval705.0ms (7%)

Compiler

Compiled 38869 to 26779 computations (31.1% saved)

prune184.0ms (1.8%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1424191443
Fresh000
Picked325
Done022
Total1427231450
Accuracy
100.0%
Counts
1450 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(pow.f64 (fma.f64 x 2 1) -1/2)
99.2%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
99.0%
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
98.0%
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
4.8%
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
8.7%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
4.4%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
98.6%
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
7.1%
(/.f64 2 x)
20.3%
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
99.4%
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
99.2%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
7.1%
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
74.9%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
20.3%
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
6.5%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
98.1%
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
98.6%
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
99.5%
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
20.3%
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
75.3%
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
7.0%
1
Compiler

Compiled 541 to 428 computations (20.9% saved)

localize694.0ms (6.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.8%
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
99.3%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
100.0%
(pow.f64 (+.f64 x 1) 3/2)
100.0%
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
99.6%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
74.8%
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
100.0%
(+.f64 x (+.f64 x 1))
99.6%
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
99.2%
(/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2)))
8.5%
(+.f64 x (-.f64 1 x))
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.8%
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
99.2%
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
Compiler

Compiled 176 to 118 computations (33% saved)

series66.0ms (0.7%)

Counts
14 → 32
Calls

42 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
6.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
4.0ms
x
@-inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
3.0ms
x
@-inf
(pow.f64 (+.f64 x 1) 3/2)
3.0ms
x
@inf
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)

rewrite228.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
650×log1p-expm1-u
272×associate-*r*
223×expm1-log1p-u
211×add-cube-cbrt
209×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031404
1534398
27370398
Stop Event
node limit
Counts
14 → 490
Calls
Call 1
Inputs
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2)))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
(pow.f64 (+.f64 x 1) 3/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2))
(*.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(/.f64 1 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 -1 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(exp.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1/2)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(fabs.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
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(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (+.f64 x -1) x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))

simplify238.0ms (2.4%)

Algorithm
egg-herbie
Rules
782×exp-prod
748×cube-prod
572×associate-*r*
558×associate-*l*
520×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063720343
1157619176
2518118805
Stop Event
node limit
Counts
522 → 416
Calls
Call 1
Inputs
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
1
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))))
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2))
(*.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(/.f64 1 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 -1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 -1 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 -1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(exp.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
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(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 x x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(fabs.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/2))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1/2) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))))
(/.f64 1 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (+.f64 x -1) x)))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
Outputs
1
1
1
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 1))
1
1
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (*.f64 x 3/2))
(fma.f64 x 3/2 1)
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 1 (fma.f64 3/8 (pow.f64 x 2) (*.f64 x 3/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 3/8 (*.f64 x 3/2)))
(+.f64 1 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 2) (*.f64 x 3/2))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 2) 3/8 (*.f64 x 3/2))))
(sqrt.f64 (pow.f64 x 3))
(pow.f64 x 3/2)
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(fma.f64 3/2 (sqrt.f64 x) (sqrt.f64 (pow.f64 x 3)))
(fma.f64 3/2 (sqrt.f64 x) (pow.f64 x 3/2))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (fma.f64 3/2 (sqrt.f64 x) (pow.f64 x 3/2)) (*.f64 3/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 3/2 (sqrt.f64 x)))))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x)))))
(+.f64 (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x)))) (pow.f64 x 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 x) -3/2))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
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1
1
1
1
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(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (/.f64 1 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 1 (-.f64 (*.f64 x 2) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 1 (-.f64 (*.f64 x 2) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1 (-.f64 x x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 1 (-.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 x x))) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (-.f64 x x)))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2))
(/.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (-.f64 x x))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (fma.f64 x x (*.f64 (-.f64 1 x) (-.f64 1 (+.f64 x x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (fma.f64 x x (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 1 (-.f64 (*.f64 x 2) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) 1) (+.f64 1 (-.f64 (*.f64 x 2) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (-.f64 (fma.f64 x 2 1) (hypot.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (+.f64 x -1) x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 -1 (*.f64 x 2))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x 2) (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)) (pow.f64 x 3/2)) (+.f64 (fma.f64 x -2 -1) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 x) 3/2)) (pow.f64 x 3/2)) (+.f64 (fma.f64 x -2 -1) (hypot.f64 x (sqrt.f64 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 1)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) 1/3)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) 2)
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(sqrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 1 x))

eval295.0ms (2.9%)

Compiler

Compiled 14366 to 10639 computations (25.9% saved)

prune140.0ms (1.4%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New67114685
Fresh7714
Picked235
Done044
Total68028708
Accuracy
100.0%
Counts
708 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
99.2%
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
99.0%
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
98.0%
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
99.2%
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -2)
98.1%
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2)) 2)
99.3%
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
20.3%
(/.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (pow.f64 (*.f64 x 2) -1/2))
8.7%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
4.4%
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
4.8%
(/.f64 (+.f64 x (-.f64 1 x)) (*.f64 (pow.f64 (*.f64 x 2) -1/2) (+.f64 1 (*.f64 x 2))))
20.3%
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 2))) (+.f64 1 (*.f64 x 2)))
7.1%
(/.f64 2 x)
20.3%
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
99.4%
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
99.2%
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
7.1%
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
73.4%
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 x 3/2)) (sqrt.f64 x)))
20.3%
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
6.5%
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
20.3%
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 1 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
53.8%
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
20.3%
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (*.f64 x 2) -1/2)))
99.5%
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
39.1%
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 3)))
75.4%
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
7.0%
1
Compiler

Compiled 1101 to 799 computations (27.4% saved)

regimes34.0ms (0.3%)

Counts
56 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 2))) (+.f64 1 (*.f64 x 2)))
(/.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (pow.f64 (*.f64 x 2) -1/2))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 1 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (*.f64 (pow.f64 (*.f64 x 2) -1/2) (+.f64 1 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (*.f64 x 2) -1/2)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 x 3/2)) (sqrt.f64 x)))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x 1/6) (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)
(fma.f64 (pow.f64 x 1/4) (neg.f64 (pow.f64 x 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (neg.f64 (sqrt.f64 x)) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2))) (-.f64 (+.f64 1 (*.f64 x 2)) (sqrt.f64 (fma.f64 x x x))))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3/2)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2) 3)))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 x)) 3)) (+.f64 (+.f64 x 1) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 x))))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
Outputs
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
Calls

2 calls:

24.0ms
x
7.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.3%)

Counts
37 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 2))) (+.f64 1 (*.f64 x 2)))
(/.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (pow.f64 (*.f64 x 2) -1/2))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 1 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (*.f64 (pow.f64 (*.f64 x 2) -1/2) (+.f64 1 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (*.f64 x 2) -1/2)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (/.f64 (-.f64 x (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x)))
(-.f64 (exp.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 x 3/2)) (sqrt.f64 x)))
(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(/.f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/2)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2) (sqrt.f64 x)))
(/.f64 1 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2) (sqrt.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -3))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -2))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1/2) 2)
Outputs
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
Calls

2 calls:

17.0ms
x
7.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes22.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 2))) (+.f64 1 (*.f64 x 2)))
(/.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (pow.f64 (*.f64 x 2) -1/2))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 1 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (*.f64 (pow.f64 (*.f64 x 2) -1/2) (+.f64 1 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (*.f64 x 2) -1/2)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
Calls

2 calls:

17.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Results
AccuracySegmentsBranch
22.0%2x
22.0%2(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 2))) (+.f64 1 (*.f64 x 2)))
(/.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (pow.f64 (*.f64 x 2) -1/2))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 1 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (*.f64 (pow.f64 (*.f64 x 2) -1/2) (+.f64 1 (*.f64 x 2))))
(/.f64 (+.f64 x (-.f64 1 x)) (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x 2))) (/.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (*.f64 x 2) -1/2)))
(pow.f64 (fma.f64 x 2 1) -1/2)
(sqrt.f64 (/.f64 1 (fma.f64 x 2 1)))
Outputs
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
20.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
1
(/.f64 2 x)
(/.f64 (+.f64 x (-.f64 1 x)) (+.f64 1 x))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (+.f64 (+.f64 1 (*.f64 1/2 x)) (sqrt.f64 x)))
Outputs
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
20.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
7.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
7.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
3922111651512430.5
17657626970101174.0
Results
12.0ms80×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 126 to 105 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative
sub-neg
*-commutative
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036218
149218
253218
355218
456218
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(if (<=.f64 x 4350000000000000) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 2 x)
1
Outputs
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2) -1/2)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(if (<=.f64 x 4350000000000000) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x)))))
(if (<=.f64 x 4350000000000000) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x 2)))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (sqrt.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 1 x)) (sqrt.f64 (*.f64 x 2))))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x 2))))
(/.f64 2 x)
1
Compiler

Compiled 70 to 57 computations (18.6% saved)

soundness2.2s (21.7%)

Rules
1776×log-prod
1664×prod-diff
1508×times-frac
1472×times-frac
1276×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
113241
2174241
037373
1688252
031404
1534398
27370398
031234
1484214
26364214
067126745
1158323579
031234
1484214
26364214
067712801
1161610841
2748810825
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 728 to 500 computations (31.3% saved)

end0.0ms (0%)

preprocess107.0ms (1.1%)

Compiler

Compiled 164 to 126 computations (23.2% saved)

Profiling

Loading profile data...