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

Time bar (total: 8.7s)

analyze3.0ms (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)

sample1.1s (12.9%)

Results
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Bogosity

preprocess164.0ms (1.9%)

Algorithm
egg-herbie
Rules
388×fma-define
166×fma-neg
104×associate-*r*
82×distribute-lft-neg-in
62×cancel-sign-sub-inv
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
135120
256120
3117120
4229120
5482120
6909120
7930120
8948120
9966120
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 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)

localize46.0ms (0.5%)

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))))
1.0ms
x
@0
(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))))

rewrite370.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
990×unpow-prod-down
848×prod-diff
676×log1p-expm1-u
676×expm1-log1p-u
614×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
113763
2193663
Stop Event
node limit
Counts
3 → 195
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 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 (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 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.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 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.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 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.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 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.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)))) 2) 1/2)
(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 (neg.f64 (sqrt.f64 (+.f64 x 1))) -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 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(-.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.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 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (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 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (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 x (-.f64 1 (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))) 2) 1/2)
(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 x (-.f64 1 (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 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.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 (+.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 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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) -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 (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 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)

simplify175.0ms (2%)

Algorithm
egg-herbie
Rules
810×exp-prod
706×cube-prod
650×associate-*l*
648×associate-*r*
596×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05297452
113187114
249977043
Stop Event
node limit
Counts
207 → 287
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 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 (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 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.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 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.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 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.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 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.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)))) 2) 1/2)
(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 (neg.f64 (sqrt.f64 (+.f64 x 1))) -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 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(-.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 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.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 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (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 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (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 x (-.f64 1 (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))) 2) 1/2)
(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 x (-.f64 1 (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 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.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 (+.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 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.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 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 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) -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 (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 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
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))))
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 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
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1
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(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/8) (pow.f64 (+.f64 x 1) 3/8))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x)))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (sqrt.f64 (pow.f64 (+.f64 x 1) 5/6)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x 1) 1/12)) (sqrt.f64 (pow.f64 (+.f64 x 1) 5/6)))
(*.f64 (pow.f64 (+.f64 x 1) 1/12) (pow.f64 (+.f64 x 1) 5/12))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(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))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(sqrt.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))
(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))
(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))
(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)))))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (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))))))

eval104.0ms (1.2%)

Compiler

Compiled 4806 to 3879 computations (19.3% saved)

prune46.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New27710287
Fresh000
Picked011
Done000
Total27711288
Accuracy
100.0%
Counts
288 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
81.6%
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
41.5%
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 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)
41.5%
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
99.5%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
99.7%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
Compiler

Compiled 233 to 185 computations (20.6% saved)

localize588.0ms (6.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
99.8%
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
99.8%
(pow.f64 (/.f64 1 x) -1)
100.0%
(sqrt.f64 (+.f64 x 1))
41.5%
(-.f64 1 (sqrt.f64 (+.f64 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 145 to 108 computations (25.5% saved)

series23.0ms (0.3%)

Counts
8 → 56
Calls

24 calls:

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

rewrite168.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1074×log1p-expm1-u
832×expm1-log1p-u
198×associate-*r*
155×pow1
148×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022191
1362175
24978175
Stop Event
node limit
Counts
8 → 241
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))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 1 x) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
Outputs
(-.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 (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))))
(*.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))
(-.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))) (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 -1 (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 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 (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)))))
(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))) (/.f64 1 x)) -1)
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(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 x 3) (pow.f64 (/.f64 1 (+.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)))
(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 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))) 1)
(*.f64 1 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))
(*.f64 x (/.f64 1 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))) 2)
(pow.f64 (/.f64 (+.f64 (*.f64 x 1/2) 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 (*.f64 x 1/2) 2))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x 1/2) 2))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (fma.f64 x 1/2 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(*.f64 1 (+.f64 (*.f64 x 1/2) 2))
(*.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2) (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (+.f64 (*.f64 x 1/2) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/2) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/2) 2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 1/2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 1/2) 2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 1/2) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/2) 2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/2) 2)))
(exp.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x 1/2 1)) 1))
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 1)
(*.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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.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 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.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 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (neg.f64 x) 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (neg.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))) 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 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (/.f64 1 x) 1))
(/.f64 x 1)
(/.f64 -1 (neg.f64 (/.f64 1 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(-.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 (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))))
(*.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))
(-.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))) (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 -1 (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 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 (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)))))
(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))) (/.f64 1 x)) -1)
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(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 x 3) (pow.f64 (/.f64 1 (+.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)))
(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 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))

simplify132.0ms (1.5%)

Algorithm
egg-herbie
Rules
564×cube-prod
524×exp-prod
486×div-sub
470×sqr-pow
436×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04517869
110877509
243627509
Stop Event
node limit
Counts
297 → 290
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 -1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 5/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))))
x
x
x
x
x
x
x
x
x
x
x
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)))))
(*.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 (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 (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))
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(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(-.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))) (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 -1 (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 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 (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)))))
(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))) (/.f64 1 x)) -1)
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(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 x 3) (pow.f64 (/.f64 1 (+.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)))
(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 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
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 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (*.f64 -5/128 (pow.f64 x 3)))))
(+.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))
(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)))))
(*.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 1/32 (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 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (/.f64 32 (pow.f64 x 2)) (-.f64 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 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (/.f64 32 (pow.f64 x 2)) (-.f64 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 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 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 (pow.f64 x 2) 1/8))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2))))
(fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 3) -1/16)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 5/128 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 5/128 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/8))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 2) 1/8 (*.f64 (pow.f64 x 4) 5/128))))
x
x
x
x
x
x
x
x
x
x
x
x
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 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (*.f64 -5/128 (pow.f64 x 3)))))
(+.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))
(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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.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 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.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 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 1 (+.f64 1 (sqrt.f64 (+.f64 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))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -2)
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
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(*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
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(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) 3)) (+.f64 1 (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(/.f64 (/.f64 (neg.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 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(-.f64 1 (sqrt.f64 (+.f64 x 1)))
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(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
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(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x))) 3))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (-.f64 2 (sqrt.f64 (+.f64 x 1))) -1)
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(-.f64 1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(pow.f64 (pow.f64 x -1/2) -2)
(/.f64 1 (/.f64 1 x))
x
(/.f64 1 (/.f64 (/.f64 1 x) 1))
x
(/.f64 x 1)
x
(/.f64 -1 (neg.f64 (/.f64 1 x)))
x
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
x
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
x
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.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 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.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 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 1 (+.f64 1 (sqrt.f64 (+.f64 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))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -2)
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (-.f64 (+.f64 2 x) (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (+.f64 2 (-.f64 x (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (*.f64 (/.f64 1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 -1 (/.f64 1 x)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.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))))
(pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(/.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))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 x 3)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.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 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval1.3s (15.4%)

Compiler

Compiled 21065 to 16988 computations (19.4% saved)

prune219.0ms (2.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New116751172
Fresh325
Picked145
Done011
Total1171121183
Accuracy
100.0%
Counts
1183 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
41.5%
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 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))))
65.5%
(/.f64 x 2)
99.5%
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 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 182 to 146 computations (19.8% saved)

localize401.0ms (4.6%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
99.7%
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
99.7%
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
41.5%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
100.0%
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
99.9%
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
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 116 to 88 computations (24.1% saved)

series38.0ms (0.4%)

Counts
10 → 64
Calls

30 calls:

TimeVariablePointExpression
14.0ms
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 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x)
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))

rewrite225.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1062×log1p-expm1-u
302×expm1-log1p-u
212×associate-*r*
172×frac-times
165×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027248
1488200
25955200
Stop Event
node limit
Counts
10 → 450
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 x (+.f64 (*.f64 1/2 x) 2))
(*.f64 (/.f64 1 (+.f64 (*.f64 x 1/2) 2)) x)
(/.f64 1 (+.f64 (*.f64 x 1/2) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
Outputs
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x)
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.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) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) -1)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.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 (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) x))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (cbrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2)
(neg.f64 (/.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) x)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 x (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 x (-.f64 (hypot.f64 1 (sqrt.f64 x)) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 x 1) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(neg.f64 (/.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
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(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) -1)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x)
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.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) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) -1)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) x)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 x (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(neg.f64 (/.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)

simplify336.0ms (3.8%)

Algorithm
egg-herbie
Rules
914×log-prod
814×fma-neg
726×associate-*r*
712×times-frac
592×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064315196
1155814356
2673814038
Stop Event
node limit
Counts
514 → 447
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)))))
(*.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 1/16 (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 1/16 (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))))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
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(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) x)
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.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) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) -1)
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) x)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 x (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(pow.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(neg.f64 (/.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
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))))
(+.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 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) (*.f64 1/16 (pow.f64 x 3))) (fma.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 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (/.f64 32 (pow.f64 x 2)) (+.f64 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 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 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)))))
(+.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)))
(+.f64 (/.f64 2 x) (/.f64 -8 (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 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 8 (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 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (-.f64 (/.f64 -8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4))))
(/.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)))
(+.f64 (/.f64 2 x) (/.f64 -8 (pow.f64 x 2)))
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2
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(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 (+.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 x (+.f64 (+.f64 2 x) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 x (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2))))
(pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 2)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))) -1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) 3))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 -1 (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) 1)
(+.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval195.0ms (2.2%)

Compiler

Compiled 8002 to 6105 computations (23.7% saved)

prune159.0ms (1.8%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New5304534
Fresh022
Picked145
Done145
Total53214546
Accuracy
100.0%
Counts
546 → 14
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)))))
99.5%
(/.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -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 187 to 156 computations (16.6% saved)

localize308.0ms (3.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
41.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
100.0%
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
100.0%
(+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))
99.8%
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
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 137 to 107 computations (21.9% saved)

series21.0ms (0.2%)

Counts
9 → 69
Calls

27 calls:

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

rewrite222.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
821×log1p-expm1-u
262×associate-*r*
220×frac-times
206×expm1-log1p-u
202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029228
1520195
26938195
Stop Event
node limit
Counts
9 → 334
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 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.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 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.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))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(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)
(+.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 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1)
(/.f64 (neg.f64 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (*.f64 x (-.f64 (+.f64 1 (+.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 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) -1) (*.f64 (-.f64 (+.f64 1 (+.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 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.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 (+.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(-.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 -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 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 x 1/2) 1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2 x)) -1))
(*.f64 -1/2 (neg.f64 x))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 2 x) -1)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(pow.f64 (*.f64 x 1/2) 1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
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(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) 1))
(fma.f64 1 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.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 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.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 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (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)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(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)

simplify189.0ms (2.2%)

Algorithm
egg-herbie
Rules
858×log-prod
672×fma-neg
594×exp-prod
504×cube-prod
498×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068213296
1171012493
2600612471
Stop Event
node limit
Counts
403 → 472
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 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -3/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 x))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 x))))))
(/.f64 2 x)
(*.f64 -1/8 x)
(*.f64 -1/8 x)
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(*.f64 -1/8 x)
(+.f64 1/2 (*.f64 -1/8 x))
(*.f64 -1/8 x)
(+.f64 1/2 (*.f64 -1/8 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 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.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 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.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))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(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)
(+.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 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1)
(/.f64 (neg.f64 x) (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) (*.f64 x (-.f64 (+.f64 1 (+.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 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2)) -1) (*.f64 (-.f64 (+.f64 1 (+.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 (/.f64 1 x) (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (-.f64 (+.f64 1 (+.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 (+.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
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(/.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) -1/2))
(/.f64 (+.f64 (neg.f64 (fma.f64 x -1/8 (/.f64 2 x))) -1/2) -1)
(/.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 3) 1/8) (+.f64 1/4 (*.f64 (fma.f64 x -1/8 (/.f64 2 x)) (-.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 3) 1/8) (+.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 2) (-.f64 1/4 (*.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 2)) (-.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 3) 1/8)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/8 (/.f64 2 x)) (-.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)))))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/8)) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 x -1/8)) (+.f64 1/2 (*.f64 x -1/8))) (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x -1/8 (/.f64 2 x)) 2) 1/4) (-.f64 (fma.f64 x -1/8 (/.f64 2 x)) 1/2))
(/.f64 (-.f64 (*.f64 (+.f64 1/2 (*.f64 x -1/8)) (+.f64 1/2 (*.f64 x -1/8))) (*.f64 (pow.f64 x -2) 4)) (-.f64 (+.f64 1/2 (*.f64 x -1/8)) (/.f64 2 x)))
(pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))) 1))
(fma.f64 1 (fma.f64 x -1/8 (/.f64 2 x)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) (sqrt.f64 (fma.f64 x -1/8 (/.f64 2 x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.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 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.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 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (-.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 1 x) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (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)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(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)
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 x -1/8 (/.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 (fma.f64 32 (pow.f64 x -2) 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 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 32 (pow.f64 x -2) 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 (fma.f64 32 (pow.f64 x -2) 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 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 32 (pow.f64 x -2) 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 1/16 (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 -3/128 (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 -3/128 (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 (pow.f64 x 4) -3/128 (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 32 (pow.f64 x 2))))
(+.f64 (/.f64 -8 x) (*.f64 (pow.f64 x -2) -32))
(fma.f64 (pow.f64 x -2) -32 (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3)))))
(+.f64 (neg.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3)))) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 1536 (pow.f64 x 4))))))
(-.f64 (*.f64 (pow.f64 x -2) -32) (+.f64 (/.f64 8 x) (+.f64 (/.f64 256 (pow.f64 x 3)) (/.f64 1536 (pow.f64 x 4)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 32 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 8 x) (/.f64 32 (pow.f64 x 2))))
(+.f64 (/.f64 -8 x) (*.f64 (pow.f64 x -2) -32))
(fma.f64 (pow.f64 x -2) -32 (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3)))))
(+.f64 (neg.f64 (fma.f64 32 (pow.f64 x -2) (/.f64 256 (pow.f64 x 3)))) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1536 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 256 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 1536 (pow.f64 x 4))))))
(-.f64 (*.f64 (pow.f64 x -2) -32) (+.f64 (/.f64 8 x) (+.f64 (/.f64 256 (pow.f64 x 3)) (/.f64 1536 (pow.f64 x 4)))))
(/.f64 2 x)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(/.f64 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (*.f64 x -1/8))
(fma.f64 x -1/8 1/2)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (*.f64 x -1/8))
(fma.f64 x -1/8 1/2)
(*.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)))
(+.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 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (+.f64 0 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
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(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.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 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(fabs.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 -1 (+.f64 0 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

eval578.0ms (6.6%)

Compiler

Compiled 10774 to 8898 computations (17.4% saved)

prune120.0ms (1.4%)

Pruning

15 alts after pruning (2 fresh and 13 done)

PrunedKeptTotal
New6921693
Fresh011
Picked055
Done088
Total69215707
Accuracy
100.0%
Counts
707 → 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)))))
41.5%
(+.f64 (sqrt.f64 (+.f64 x 1)) -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 335 to 271 computations (19.1% saved)

regimes25.0ms (0.3%)

Counts
21 → 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 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.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 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.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 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.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:

12.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
12.0ms
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)

regimes15.0ms (0.2%)

Counts
10 → 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 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(/.f64 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
9 → 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 1 (+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x)))))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
66.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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:

4.0ms
x
Results
AccuracySegmentsBranch
66.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
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)

bsearch14.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
9.221072074207907e-5
0.0027854132478989284
Results
11.0ms96×256valid
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 174 to 150 computations (13.8% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035162
150162
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 (sqrt.f64 (+.f64 x 1)) -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 (sqrt.f64 (+.f64 x 1)) -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)

soundness1.3s (14.7%)

Rules
1074×log1p-expm1-u
1062×log1p-expm1-u
990×unpow-prod-down
914×log-prod
914×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05297452
113187114
249977043
01163
113763
2193663
022191
1362175
24978175
064315196
1155814356
2673814038
05297452
113187114
249977043
027248
1488200
25955200
064315196
1155814356
2673814038
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 405 to 329 computations (18.8% saved)

end0.0ms (0%)

preprocess56.0ms (0.6%)

Compiler

Compiled 118 to 94 computations (20.3% saved)

Profiling

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