Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 8.6s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample777.0ms (9%)

Results
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Bogosity

preprocess162.0ms (1.9%)

Algorithm
egg-herbie
Rules
456×fma-define
258×fma-neg
108×associate-*r*
82×distribute-lft-neg-in
74×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(+.f64 x 1)
00-0-(+.f64 1 (sqrt.f64 (+.f64 x 1)))
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017136
146120
293120
3162120
4286120
5571120
61089120
71112120
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 59 to 45 computations (23.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize110.0ms (1.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

series11.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

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

rewrite353.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1474×fma-define
848×prod-diff
714×log1p-expm1-u
714×expm1-log1p-u
594×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
114263
2212063
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(fma.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1 0)
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 0)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 0)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) 0)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 x 1)) 0))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 0)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 0)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 0)

simplify113.0ms (1.3%)

Algorithm
egg-herbie
Rules
1166×unswap-sqr
885×add0
818×fma-neg
504×cancel-sign-sub-inv
428×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03475436
110415231
234625123
Stop Event
node limit
Counts
181 → 242
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(fma.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1 0)
(fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) 0)
(fma.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 0)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 0)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) 0)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 x 1)) 0))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 0)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) -1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) 0)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 0)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 0)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 2))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) 1)
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))) 1)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))))
(-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 0)
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(+.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 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 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.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 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 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))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 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))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(/.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 (+.f64 x 1) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 x 1)) 0))))
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x 1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 0)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 0)
(*.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)))
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 0)
(*.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)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 0)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 -1 (/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (/.f64 x (+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 x 1)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x))))))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)) 0)
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 0)
(*.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))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 0)
(*.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))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))

eval78.0ms (0.9%)

Compiler

Compiled 3460 to 2726 computations (21.2% saved)

prune39.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2339242
Fresh000
Picked011
Done000
Total23310243
Accuracy
100.0%
Counts
243 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
66.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.5%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
96.2%
(/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
65.5%
(/.f64 x 2)
65.4%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
85.3%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
41.5%
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
Compiler

Compiled 213 to 169 computations (20.7% saved)

localize458.0ms (5.3%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
100.0%
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
99.8%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
85.6%
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
99.7%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
100.0%
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
100.0%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
99.8%
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 165 to 128 computations (22.4% saved)

series47.0ms (0.5%)

Counts
10 → 74
Calls

30 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
5.0ms
x
@-inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
5.0ms
x
@-inf
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
4.0ms
x
@inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
4.0ms
x
@0
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))

rewrite126.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
310×associate-*r*
226×log1p-expm1-u
226×expm1-log1p-u
223×add0
220×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028296
1506292
Stop Event
node limit
Counts
10 → 435
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 0)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 x 0))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 0 x))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (+.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (-.f64 0 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 0) (-.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 (/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 (/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)))
(pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 3) (pow.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (log1p.f64 (pow.f64 (+.f64 1 x) 3/2))) 1))
(fma.f64 1 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 x (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) x (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) 2) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) 0)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 1 x)))))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (/.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 9/2)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3/2)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (pow.f64 (+.f64 1 x) 9/2))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 1 (pow.f64 (+.f64 1 x) 3))))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 3) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 2) (-.f64 0 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 0))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 9/2)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 9/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3)) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 9/2))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) 1) (-.f64 (pow.f64 (+.f64 1 x) 3/2) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 2) 0) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 0))
(pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)) 1))
(fma.f64 1 (pow.f64 (+.f64 1 x) 3/2) 1)
(fma.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 0)
(fma.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 0)
(fma.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) 0)
(+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 2 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 2)
(*.f64 1 (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(*.f64 (-.f64 3 x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 3 x)))
(/.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) (+.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2) (-.f64 0 (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (-.f64 3 x) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2) 0) (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)

simplify216.0ms (2.5%)

Algorithm
egg-herbie
Rules
1778×fma-define
1229×add0
1226×distribute-lft-in
810×times-frac
382×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100023021
1346022269
Stop Event
node limit
Counts
509 → 681
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 -7/128 (pow.f64 x 4)) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 3/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (*.f64 3/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))))))
(/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) 2))) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 x (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) 2)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 x (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) 3)))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))))
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(*.f64 1/2 x)
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(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
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(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
2
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1
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(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 3/2)) 1))
(fma.f64 1 (pow.f64 (+.f64 1 x) 3/2) 1)
(fma.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 0)
(fma.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) 0)
(fma.f64 (pow.f64 (+.f64 1 x) 3/4) (pow.f64 (+.f64 1 x) 3/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 3/4)) 0)
(+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 2 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 2)
(*.f64 1 (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(*.f64 (-.f64 3 x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2)) (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2) (-.f64 3 x)))
(/.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) (+.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2) (-.f64 0 (*.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (-.f64 3 x) (+.f64 (sqrt.f64 (+.f64 1 x)) 2))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 4 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))))
(/.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) (*.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2) 0) (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(fma.f64 -1/8 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -1/8 x (*.f64 1/16 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 -5/128 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/16 (pow.f64 x 2) (*.f64 -5/128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (/.f64 2 x))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/16 (pow.f64 x 2) (/.f64 2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -3/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) -3/8))
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -3/8 (pow.f64 x 2) (fma.f64 3/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 (pow.f64 x 2) -3/8 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 3/16)))
(+.f64 (*.f64 -3/8 (pow.f64 x 2)) (+.f64 (*.f64 -7/128 (pow.f64 x 4)) (+.f64 (*.f64 3/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -3/8 (pow.f64 x 2) (fma.f64 -7/128 (pow.f64 x 4) (fma.f64 3/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 (pow.f64 x 2) -3/8 (fma.f64 (pow.f64 x 4) -7/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 3/16))))
(/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 3/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))))
(+.f64 (fma.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (fma.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 -3/8 (/.f64 (*.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))
(+.f64 (fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))) (*.f64 -3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (*.f64 3/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))))))
(-.f64 (fma.f64 -3/2 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (fma.f64 -1/16 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (sqrt.f64 (/.f64 1 x))) (fma.f64 3/8 (/.f64 (*.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x 3)) (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2))) 3/8)) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2))))))))
(-.f64 (fma.f64 -3/2 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 9/16 (/.f64 x (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (fma.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))) (fma.f64 -1/16 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (fma.f64 3/8 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)) (*.f64 (*.f64 3/2 (sqrt.f64 (/.f64 1 x))) (/.f64 (fma.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 3)) (*.f64 -3/8 (/.f64 (sqrt.f64 (pow.f64 x 3)) (pow.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) 2)))) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))))))
(/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))
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(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
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(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))
(/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
2
(+.f64 2 (*.f64 3/2 x))
(+.f64 2 (*.f64 x 3/2))
(fma.f64 x 3/2 2)
(+.f64 2 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 2 (fma.f64 3/8 (pow.f64 x 2) (*.f64 x 3/2)))
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(+.f64 2 (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
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1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
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(/.f64 (+.f64 8 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3))) (+.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (-.f64 8 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (fma.f64 2 (sqrt.f64 (+.f64 x 1)) (+.f64 5 x)))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 4 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (-.f64 2 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 4 (+.f64 x 1)) (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2) 0) (-.f64 2 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2) (-.f64 2 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 1)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) 2))
(fabs.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 3))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 1))
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (-.f64 2 (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 2 (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 2 (sqrt.f64 (+.f64 x 1)))

eval992.0ms (11.5%)

Compiler

Compiled 29059 to 23650 computations (18.6% saved)

prune591.0ms (6.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New142671433
Fresh224
Picked235
Done011
Total1430131443
Accuracy
100.0%
Counts
1443 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
99.5%
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
66.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.5%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
66.4%
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
99.5%
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
41.5%
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
97.4%
(*.f64 (/.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) x)
66.5%
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
5.2%
2
Compiler

Compiled 204 to 163 computations (20.1% saved)

localize453.0ms (5.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
99.8%
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
99.6%
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
100.0%
(/.f64 (fma.f64 x 1/2 2) x)
99.8%
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
100.0%
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
99.9%
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
99.8%
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
99.7%
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
Compiler

Compiled 124 to 96 computations (22.6% saved)

series52.0ms (0.6%)

Counts
12 → 80
Calls

36 calls:

TimeVariablePointExpression
26.0ms
x
@0
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
1.0ms
x
@-inf
(sqrt.f64 (+.f64 1 x))
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
1.0ms
x
@-inf
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))

rewrite220.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1524×prod-diff
491×log1p-expm1-u
238×frac-times
218×associate-*r*
162×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025274
1415262
25934262
Stop Event
node limit
Counts
12 → 549
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 (fma.f64 x 1/2 2) x)
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
Outputs
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) x))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(neg.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (/.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 1 x) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (/.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (/.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (/.f64 (/.f64 1 x) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))) (/.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)) (/.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
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(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) 0) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (+.f64 1 x) 3/2) (+.f64 (+.f64 1 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) 0))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 x) 0) (-.f64 (sqrt.f64 (+.f64 1 x)) 0))
(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))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 0)

simplify216.0ms (2.5%)

Algorithm
egg-herbie
Rules
1198×fma-define
976×distribute-rgt-in
948×associate-*r*
922×distribute-lft-in
913×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082519115
1261518713
Stop Event
node limit
Counts
629 → 587
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -5/128 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (*.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) x))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) x))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(neg.f64 (/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (/.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (/.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) 0) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 0)
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (+.f64 1 x) 3/2) (+.f64 (+.f64 1 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) 0))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 x) 0) (-.f64 (sqrt.f64 (+.f64 1 x)) 0))
(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))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 0)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (/.f64 2 x))))
(+.f64 (fma.f64 (pow.f64 x 2) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (*.f64 x -1/8))
(fma.f64 x -1/8 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -1/8 x (*.f64 (pow.f64 x 2) 1/32)))
(+.f64 (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x 2) 1/32))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
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(/.f64 2 x)
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(*.f64 1/2 x)
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(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
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(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
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(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
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(/.f64 2 x)
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(+.f64 1/2 (/.f64 2 x))
1/2
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(+.f64 1/2 (/.f64 2 x))
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(+.f64 1/2 (/.f64 2 x))
1/2
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(*.f64 1/2 x)
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1/2
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(fma.f64 x -1/8 1/2)
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(+.f64 1/2 (fma.f64 -1/8 x (*.f64 (pow.f64 x 2) 1/16)))
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2
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(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
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1
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(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(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))))
(*.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))))
(/.f64 (pow.f64 (+.f64 1 x) 3/2) (+.f64 (+.f64 1 x) (-.f64 0 (*.f64 (sqrt.f64 (+.f64 1 x)) 0))))
(/.f64 (pow.f64 (+.f64 x 1) 3/2) (+.f64 x 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 x) 0) (-.f64 (sqrt.f64 (+.f64 1 x)) 0))
(/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(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)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(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))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(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))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 0)
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 0)
(sqrt.f64 (+.f64 x 1))

eval424.0ms (4.9%)

Compiler

Compiled 10936 to 8888 computations (18.7% saved)

prune180.0ms (2.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New7035708
Fresh224
Picked145
Done044
Total70615721
Accuracy
100.0%
Counts
721 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
99.5%
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
66.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.5%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
99.5%
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
65.3%
(/.f64 1 (/.f64 2 x))
66.4%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
65.0%
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
99.5%
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
41.5%
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
66.5%
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
5.2%
2
Compiler

Compiled 216 to 177 computations (18.1% saved)

localize266.0ms (3.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 2 (*.f64 1/2 x)))
99.8%
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(+.f64 1/2 (/.f64 2 x))
99.8%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
99.8%
(/.f64 1 (/.f64 2 x))
100.0%
(sqrt.f64 (+.f64 1 x))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 1 x)))
99.8%
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
99.7%
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
Compiler

Compiled 123 to 95 computations (22.8% saved)

series27.0ms (0.3%)

Counts
8 → 80
Calls

24 calls:

TimeVariablePointExpression
11.0ms
x
@0
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
1.0ms
x
@inf
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
1.0ms
x
@-inf
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
1.0ms
x
@inf
(/.f64 1 (/.f64 2 x))
1.0ms
x
@-inf
(/.f64 1 (/.f64 2 x))

rewrite227.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
729×log1p-expm1-u
284×frac-times
248×associate-*r*
194×add0
188×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025172
1481166
27114166
Stop Event
node limit
Counts
8 → 374
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(+.f64 1/2 (/.f64 2 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
(/.f64 1 (+.f64 2 (*.f64 1/2 x)))
Outputs
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1))
(+.f64 (/.f64 1 x) (+.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 1 x) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (/.f64 1 x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (*.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3) (+.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) -1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (*.f64 x (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (*.f64 (neg.f64 x) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 1) (*.f64 (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) -1) (*.f64 (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (*.f64 (neg.f64 x) -1) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) (*.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) x))) (-.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2) 0) (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 x)) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 1) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) 1))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 0)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 0)
(+.f64 (*.f64 x 1/2) 0)
(+.f64 0 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 x 1/2))
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 (*.f64 x 1/2) 1)
(*.f64 -1 (/.f64 1 (/.f64 -2 x)))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (*.f64 x (pow.f64 (fma.f64 x 1/2 2) -1/2)) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (/.f64 -1 x)))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(fma.f64 1 (/.f64 x (fma.f64 x 1/2 2)) 0)
(fma.f64 x (/.f64 1 (fma.f64 x 1/2 2)) 0)
(fma.f64 (/.f64 1 (fma.f64 x 1/2 2)) x 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(+.f64 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(*.f64 -1 (/.f64 -1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))) 1))
(fma.f64 1 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 0)
(fma.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2) 0)

simplify212.0ms (2.5%)

Algorithm
egg-herbie
Rules
1102×fma-define
912×+-commutative
820×add0
772×distribute-rgt-in
684×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068614010
1228913068
Stop Event
node limit
Counts
454 → 462
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1))
(+.f64 (/.f64 1 x) (+.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0)
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (/.f64 1 x) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (/.f64 1 x)))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (*.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 3) (+.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 2) (-.f64 0 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) 0))))
(/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x) -1)
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(*.f64 (*.f64 x (pow.f64 (fma.f64 x 1/2 2) -1/2)) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (/.f64 -1 x)))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(fma.f64 1 (/.f64 x (fma.f64 x 1/2 2)) 0)
(fma.f64 x (/.f64 1 (fma.f64 x 1/2 2)) 0)
(fma.f64 (/.f64 1 (fma.f64 x 1/2 2)) x 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(+.f64 (/.f64 x (fma.f64 x 1/2 2)) 0)
(+.f64 (/.f64 x (fma.f64 x 1/2 2)) (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 0))
(+.f64 (/.f64 x (fma.f64 x 1/2 2)) (*.f64 x 0))
(+.f64 (/.f64 x (fma.f64 x 1/2 2)) (*.f64 0 (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 (/.f64 x (fma.f64 x 1/2 2)) (*.f64 0 x))
(+.f64 0 (/.f64 x (fma.f64 x 1/2 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) x))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 -1 (fma.f64 x 1/2 2)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (pow.f64 x -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 1) (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (*.f64 x (pow.f64 (fma.f64 x 1/2 2) -1/2)) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) -1) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 x (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (/.f64 -1 x)))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(fma.f64 1 (/.f64 x (fma.f64 x 1/2 2)) 0)
(fma.f64 x (/.f64 1 (fma.f64 x 1/2 2)) 0)
(fma.f64 (/.f64 1 (fma.f64 x 1/2 2)) x 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(+.f64 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(*.f64 -1 (/.f64 -1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))) 1))
(fma.f64 1 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 0)
(fma.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2) 0)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (/.f64 2 x))))
(+.f64 (fma.f64 (pow.f64 x 2) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
1/2
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)))
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(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
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(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
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(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
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(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
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(+.f64 2 (-.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (*.f64 x -1/8))
(fma.f64 x -1/8 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
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(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 -1/128 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/32))))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 (pow.f64 x 2) 1/32 (*.f64 (pow.f64 x 3) -1/128)))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 2)))
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(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
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(/.f64 2 x)
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(-.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 2)))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)) -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) -2)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
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(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2))
(fabs.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x)) -1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 0)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
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(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 0))
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (/.f64 1 x)))
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(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) (*.f64 0 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))) 1)
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(/.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 2)) (/.f64 -1 x)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(fabs.f64 (/.f64 x (fma.f64 1/2 x 2)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) (pow.f64 (/.f64 1 x) 3)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(fma.f64 1 (/.f64 x (fma.f64 x 1/2 2)) 0)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(fma.f64 x (/.f64 1 (fma.f64 x 1/2 2)) 0)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(fma.f64 (/.f64 1 (fma.f64 x 1/2 2)) x 0)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(fma.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 0)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 -1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)) (cbrt.f64 (fma.f64 1/2 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)) (cbrt.f64 (fma.f64 1/2 x 2)))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -1))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -2)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) -2)
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/4 (-.f64 4 x)) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/8 8)))
(/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 4) x) (fma.f64 (pow.f64 x 3) 1/8 8))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/4 (-.f64 4 x)) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/8 8)))
(/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/4 4) x) (fma.f64 (pow.f64 x 3) 1/8 8))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(*.f64 (fma.f64 x 1/2 -2) (/.f64 1 (fma.f64 (pow.f64 x 2) 1/4 -4)))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 (pow.f64 x 2) 1/4 -4))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 (*.f64 1 (+.f64 2 (*.f64 x -1/2))) (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 x -1/2 2) (+.f64 4 (*.f64 (pow.f64 x 2) -1/4)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3) 1/3)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2)))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 3))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) -1))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))) 1))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(fma.f64 1 (/.f64 1 (fma.f64 x 1/2 2)) 0)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 0)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)) (cbrt.f64 (fma.f64 1/2 x 2)))
(fma.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2) 0)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))

eval289.0ms (3.4%)

Compiler

Compiled 8490 to 6979 computations (17.8% saved)

prune245.0ms (2.8%)

Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New5812583
Fresh112
Picked145
Done088
Total58315598
Accuracy
100.0%
Counts
598 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
66.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.5%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
99.5%
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
65.3%
(/.f64 1 (/.f64 2 x))
66.4%
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
65.0%
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
66.4%
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 2 (*.f64 1/2 x))))
99.5%
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
66.5%
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
41.5%
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
5.2%
2
Compiler

Compiled 367 to 297 computations (19.1% saved)

regimes88.0ms (1%)

Counts
24 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 2 (*.f64 1/2 x))))
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(*.f64 (/.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

52.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
34.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 2 (*.f64 1/2 x))))
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
Outputs
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 2 (*.f64 1/2 x))))
(/.f64 (/.f64 1 (+.f64 2 (*.f64 1/2 x))) (/.f64 1 x))
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
66.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (/.f64 2 x))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Outputs
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
66.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
65.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
9.221072074207907e-5
0.0027854132478989284
Results
46.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 188 to 164 computations (12.8% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
58×+-commutative
56×unsub-neg
27×add0
22×distribute-neg-in
16×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036166
174166
2105166
3128162
4163162
5191162
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5534023222112865/18446744073709551616) (/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))) (*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5534023222112865/18446744073709551616) (/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))) (*.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 5534023222112865/18446744073709551616) (/.f64 1 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 2 (/.f64 1 x))))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 5534023222112865/18446744073709551616) (/.f64 1 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 2 (/.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 1)))
(if (<=.f64 x 5534023222112865/18446744073709551616) (/.f64 1 (+.f64 1/2 (+.f64 (*.f64 x -1/8) (*.f64 2 (/.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 2 (*.f64 x 1/2)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 x 2)
2
Compiler

Compiled 55 to 45 computations (18.2% saved)

soundness1.5s (17.1%)

Rules
1524×prod-diff
1474×fma-define
1198×fma-define
1166×unswap-sqr
1166×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03475436
110415231
234625123
01163
114263
2212063
028296
1506292
082519115
1261518713
03475436
110415231
234625123
025274
1415262
25934262
025172
1481166
27114166
068614010
1228913068
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 496 to 387 computations (22% saved)

end0.0ms (0%)

preprocess70.0ms (0.8%)

Compiler

Compiled 118 to 94 computations (20.3% saved)

Profiling

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