bug333 (missed optimization)

Time bar (total: 4.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.6s (56.7%)

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

preprocess247.0ms (5.4%)

Algorithm
egg-herbie
Rules
124×fma-neg
102×fma-define
50×sub-neg
32×neg-mul-1
30×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
00-0-(sqrt.f64 (+.f64 1 x))
00-0-x
00-0-(+.f64 1 x)
00-0-(sqrt.f64 (-.f64 1 x))
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019136
139132
271132
3131132
4212132
5309132
6362132
7394132
8396132
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x)))))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (neg.f64 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))) (sqrt.f64 (-.f64 1 (neg.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Symmetry

(negabs x)

Compiler

Compiled 64 to 48 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize94.0ms (2.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(sqrt.f64 (-.f64 1 x))
8.2%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series7.0ms (0.2%)

Counts
3 → 20
Calls

9 calls:

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

rewrite241.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
1382×unpow-prod-down
956×fma-define
790×log1p-expm1-u
790×expm1-log1p-u
672×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2216061
Stop Event
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(sqrt.f64 (+.f64 1 x))
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 -1 (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
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(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(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)
(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))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))

simplify147.0ms (3.2%)

Algorithm
egg-herbie
Rules
1062×times-frac
778×exp-prod
768×associate-*r*
736×associate-*l*
554×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057910592
114129937
248989613
Stop Event
node limit
Counts
252 → 348
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
0
0
0
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
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 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1) (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (*.f64 -1 (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (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 (sqrt.f64 (-.f64 1 x)) (log.f64 (exp.f64 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 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.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 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.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 (pow.f64 1 1/3) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 1 x) 1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (-.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) 1/4)) 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (hypot.f64 1 (hypot.f64 x (sqrt.f64 x))))
(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)
(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 (neg.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (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 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 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 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.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 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.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 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (+.f64 1 x) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(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)
(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))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 1/8 (pow.f64 x 3) x) (*.f64 7/128 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 7/128 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 7/128 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 33/1024 (pow.f64 x 7) (*.f64 7/128 (pow.f64 x 5))) (fma.f64 1/8 (pow.f64 x 3) x))
0
0
0
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
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(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 (neg.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 (neg.f64 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) 1))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) 3))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 x))) 1/3))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 x))) 2))
(sqrt.f64 (-.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(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 (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 (*.f64 2 (log.f64 (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 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.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 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (+.f64 1 x) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/2))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (+.f64 1 x) 1) 1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x (+.f64 x 1) 1)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 1 x) (pow.f64 (+.f64 1 x) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) 1/4)) 2))
(sqrt.f64 (+.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)) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))

eval153.0ms (3.4%)

Compiler

Compiled 6804 to 5580 computations (18% saved)

prune46.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3453348
Fresh000
Picked101
Done000
Total3463349
Accuracy
100.0%
Counts
349 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
100.0%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
99.6%
x
Compiler

Compiled 24 to 17 computations (29.2% saved)

localize103.0ms (2.3%)

Localize:

Found 3 expressions with local error:

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

Compiled 62 to 42 computations (32.3% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite98.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1350×unpow-prod-down
934×fma-define
781×log1p-expm1-u
781×expm1-log1p-u
656×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
115733
2215533
Stop Event
node limit
Counts
1 → 71
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) 1 (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))

simplify94.0ms (2.1%)

Algorithm
egg-herbie
Rules
1312×times-frac
820×log-prod
612×fma-neg
564×exp-prod
550×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02093933
15343863
216323333
352113235
Stop Event
node limit
Counts
75 → 113
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) 1))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) 1 (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (pow.f64 x 2) 2)
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -5/64 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (*.f64 -5/64 (pow.f64 x 4)))
(fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/64 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/64 (pow.f64 x 4)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -5/64 (pow.f64 x 4) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (fma.f64 -5/64 (pow.f64 x 4) (*.f64 -21/512 (pow.f64 x 6))))
(+.f64 2 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0)
(+.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) 0)
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (log.f64 (exp.f64 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (pow.f64 (/.f64 1 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 7))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 5)))
(*.f64 (cbrt.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 (+.f64 1 x) (-.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) -1)
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (+.f64 x (-.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)) -1)
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (exp.f64 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0)
(+.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) 0)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (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 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 3/2))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 3/2))

eval201.0ms (4.4%)

Compiler

Compiled 6494 to 4654 computations (28.3% saved)

prune41.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2951296
Fresh000
Picked033
Done000
Total2954299
Accuracy
100.0%
Counts
299 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
100.0%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
100.0%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
99.6%
x
Compiler

Compiled 36 to 26 computations (27.8% saved)

localize87.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
100.0%
(*.f64 -1/4 (pow.f64 x 2))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series5.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -1/4 (pow.f64 x 2))
1.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
1.0ms
x
@inf
(*.f64 -1/4 (pow.f64 x 2))
1.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
1.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))

rewrite89.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
916×prod-diff
738×log1p-expm1-u
738×expm1-log1p-u
714×log-prod
404×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01253
115646
2242846
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(*.f64 -1/4 (pow.f64 x 2))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
Outputs
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))

simplify25.0ms (0.6%)

Algorithm
egg-herbie
Rules
68×*-commutative
44×sqr-pow
36×associate-*r/
36×+-commutative
28×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02162535
16132535
Stop Event
unsound
Counts
77 → 94
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
Outputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 64 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 64 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7))))))
(+.f64 0 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(expm1.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) 3)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3) 1/3)
(*.f64 -1/4 (pow.f64 x 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/16))
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4))
(*.f64 -1/4 (log.f64 (exp.f64 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2)))))
(*.f64 -1/4 (pow.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 x 2)) 3))
(*.f64 -1/4 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 x 2))))
(expm1.f64 (log.f64 (*.f64 -1/4 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)) 1))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2)))) 3))
(*.f64 -1/4 (pow.f64 x 2))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/4))) 1/3))
(exp.f64 (*.f64 1/3 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/4))) 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(+.f64 0 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))) 1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 2 (/.f64 (*.f64 x -1) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(*.f64 (/.f64 0 0) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 0 0) (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 0 0) (/.f64 1 (neg.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) (log.f64 (exp.f64 1)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 1 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2))
(/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(*.f64 (pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(*.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 1 (fma.f64 -1/4 (pow.f64 x 2) 2)) (/.f64 0 0))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(*.f64 (/.f64 (/.f64 0 0) 1) (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 0 0) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2)) (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 2))
(*.f64 (/.f64 (/.f64 0 0) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 -1 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/64 8)) (fma.f64 (*.f64 -1/4 (pow.f64 x 2)) (fma.f64 -1/4 (pow.f64 x 2) -2) 4))
(*.f64 (/.f64 (/.f64 0 0) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (pow.f64 x 2))))
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)))
(pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(pow.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3) 1/3)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(pow.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(pow.f64 (/.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0)) 1) -1)
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(neg.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(sqrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(sqrt.f64 (/.f64 -1 (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(cbrt.f64 (/.f64 (/.f64 0 0) (pow.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) 3)))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2))) 1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 3))
(/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 0 0) (fma.f64 -1/4 (pow.f64 x 2) 2)) 3)) 1/3))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 0 0) (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2)))) 2))
(pow.f64 (/.f64 -1 (sqrt.f64 (fma.f64 -1/4 (pow.f64 x 2) 2))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/4 (pow.f64 x 2) 2) (/.f64 0 0))) -1))
(/.f64 -1 (fma.f64 -1/4 (pow.f64 x 2) 2))

eval41.0ms (0.9%)

Compiler

Compiled 1463 to 1241 computations (15.2% saved)

prune16.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done033
Total94498
Accuracy
100.0%
Counts
98 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
100.0%
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
100.0%
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
99.6%
x
Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
Calls

2 calls:

5.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
Outputs
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative
*-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025120
138120
242120
344120
445120
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
x
Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness154.0ms (3.4%)

Rules
1382×unpow-prod-down
956×fma-define
790×log1p-expm1-u
790×expm1-log1p-u
672×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
115861
2216061
Stop Event
node limit
Compiler

Compiled 160 to 123 computations (23.1% saved)

end0.0ms (0%)

preprocess59.0ms (1.3%)

Remove

(negabs x)

Compiler

Compiled 254 to 182 computations (28.3% saved)

Profiling

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