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

Time bar (total: 4.4s)

analyze3.0ms (0.1%)

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)

sample1.0s (23.5%)

Results
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Bogosity

preprocess157.0ms (3.6%)

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
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize47.0ms (1.1%)

Localize:

Found 3 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series12.0ms (0.3%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
4.0ms
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
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite214.0ms (4.9%)

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))))
(sqrt.f64 (+.f64 x 1))
(+.f64 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 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)
(-.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)

simplify121.0ms (2.8%)

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 → 286
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))))
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))))
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 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 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)
(-.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)
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))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
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2
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(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)))
(*.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 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 2)))
(*.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 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2)))
(*.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 1 (sqrt.f64 (+.f64 x 1)))
(*.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 1 (sqrt.f64 (+.f64 x 1)))
(/.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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (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 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (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 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (neg.f64 x) (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 -1 (+.f64 2 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3))

eval199.0ms (4.5%)

Compiler

Compiled 4793 to 3871 computations (19.2% saved)

prune40.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2815286
Fresh000
Picked011
Done000
Total2816287
Accuracy
100.0%
Counts
287 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.9%
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
74.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
73.0%
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
74.0%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
73.4%
(/.f64 x 2)
Compiler

Compiled 103 to 79 computations (23.3% saved)

localize465.0ms (10.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
89.0%
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
100.0%
(sqrt.f64 (+.f64 x 1))
99.8%
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
99.8%
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
32.9%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
100.0%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Compiler

Compiled 134 to 101 computations (24.6% saved)

series90.0ms (2.1%)

Counts
7 → 60
Calls

21 calls:

TimeVariablePointExpression
71.0ms
x
@-inf
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
3.0ms
x
@0
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
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
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))

rewrite201.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
649×log1p-expm1-u
266×associate-*r*
216×expm1-log1p-u
210×add-exp-log
210×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027183
1461165
27363165
Stop Event
node limit
Counts
7 → 301
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.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 (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.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 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(*.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 (*.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -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 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.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 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(/.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 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -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 4 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(fma.f64 x 1/2 2)
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
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(exp.f64 (log.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))) 1)
(*.f64 x (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2) (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))) -2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (/.f64 x (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 8)) (+.f64 4 (*.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 x (-.f64 4 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))) (-.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))) -2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 1))

simplify161.0ms (3.7%)

Algorithm
egg-herbie
Rules
988×log-prod
644×exp-prod
596×cube-prod
444×associate-*r*
442×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055111548
1138110930
2541410904
Stop Event
node limit
Counts
361 → 338
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 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (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 1/16 (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 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 -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 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.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 (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.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 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(*.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 (*.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -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 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.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 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(/.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 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -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 4 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(fma.f64 x 1/2 2)
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
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(pow.f64 (/.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) -1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.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 (log.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))) 1)
(*.f64 x (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 1 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2) (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))) -2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (/.f64 x (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 8)) (+.f64 4 (*.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 x (-.f64 4 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))) (-.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))) -2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 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 1/32 (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)))
(+.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))))
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)))
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (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)))
(+.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))))
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 1/16 (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 (pow.f64 x 3) 1/16 (*.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))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -5/128 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(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)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)) (*.f64 (pow.f64 x 3) 1/16))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/16 (*.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))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -5/128 (fma.f64 (pow.f64 x 3) 1/16 (*.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 1/16 (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 (pow.f64 x 3) 1/16 (*.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 (pow.f64 x 3) 1/16 (*.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 -32 (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 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3)))))
(-.f64 (/.f64 -32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3))))
(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 (/.f64 32 (pow.f64 x 2)) (/.f64 256 (pow.f64 x 3))) (+.f64 (/.f64 8 x) (/.f64 1536 (pow.f64 x 4)))))
(-.f64 (/.f64 -32 (pow.f64 x 2)) (+.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 -32 (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 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3)))))
(-.f64 (/.f64 -32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 256 (pow.f64 x 3))))
(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 (/.f64 32 (pow.f64 x 2)) (/.f64 256 (pow.f64 x 3))) (+.f64 (/.f64 8 x) (/.f64 1536 (pow.f64 x 4)))))
(-.f64 (/.f64 -32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 256 (pow.f64 x 3)) (/.f64 1536 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 1/2 x 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))) (/.f64 x (sqrt.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))) (sqrt.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2))) 2)) (/.f64 x (cbrt.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2))) 2))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 8)) (+.f64 4 (*.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 x (+.f64 8 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 3))) (+.f64 4 (*.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) (+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) -2))))
(/.f64 x (/.f64 (+.f64 8 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 3)) (fma.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x -2)) 4)))
(*.f64 (/.f64 x (-.f64 4 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))) (-.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 4 (pow.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 2))) (-.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 1)
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 3)
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3) 1/3)
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 2)
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(pow.f64 (/.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) x) -1)
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))) -2)))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 -2 (neg.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))))
(/.f64 (neg.f64 x) (-.f64 -2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 2))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2))) 2))
(fabs.f64 (/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2))))
(log.f64 (exp.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))))))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2)))) 3))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))) 3)))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(exp.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (fma.f64 x 1/2 2) (*.f64 -1/8 (pow.f64 x 2))))) 1))
(/.f64 x (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x 2)))

eval242.0ms (5.5%)

Compiler

Compiled 6948 to 5335 computations (23.2% saved)

prune198.0ms (4.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4242426
Fresh000
Picked235
Done011
Total4266432
Accuracy
100.0%
Counts
432 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
73.0%
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
73.4%
(/.f64 x 2)
32.9%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
4.8%
2
Compiler

Compiled 44 to 35 computations (20.5% saved)

localize84.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
32.9%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite74.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
698×unpow-prod-down
509×log1p-expm1-u
509×expm1-log1p-u
448×fma-define
438×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01120
111420
2143918
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (expm1.f64 (*.f64 1/4 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 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)

simplify74.0ms (1.7%)

Algorithm
egg-herbie
Rules
932×log-prod
928×associate-*r*
894×times-frac
796×associate-*l*
486×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461959
13691870
29711798
346591539
Stop Event
node limit
Counts
53 → 74
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 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (expm1.f64 (*.f64 1/4 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 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)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 1/2 (*.f64 x -1/8)))
(+.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))))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/16))))
(+.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)))))
(fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/16)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (log.f64 (E.f64)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 (pow.f64 (+.f64 x 1) 1/4) 1) (expm1.f64 (*.f64 1/4 (log1p.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(-.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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 (sqrt.f64 (+.f64 x 1)) 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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (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 1 (+.f64 x 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)))))
(+.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)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2) 1/2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 (-.f64 (+.f64 (+.f64 x 1) 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 x 2) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x) -1)
(-.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)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1/3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(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) 1/6) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

eval55.0ms (1.3%)

Compiler

Compiled 2142 to 1779 computations (16.9% saved)

prune23.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1620162
Fresh000
Picked022
Done044
Total1626168
Accuracy
100.0%
Counts
168 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
73.0%
(/.f64 x (+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
73.4%
(/.f64 x 2)
32.9%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
4.8%
2
Compiler

Compiled 102 to 79 computations (22.5% saved)

regimes12.0ms (0.3%)

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

2 calls:

7.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.2%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
74.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
73.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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
4.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch16.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.9854595110006383e-7
0.00018871909176704249
Results
12.0ms112×256valid
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 149 to 122 computations (18.1% saved)

simplify12.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025122
135122
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 534955578137577/36893488147419103232) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 534955578137577/36893488147419103232) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 534955578137577/36893488147419103232) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 41 to 32 computations (22% saved)

soundness782.0ms (17.9%)

Rules
990×unpow-prod-down
848×prod-diff
810×exp-prod
810×exp-prod
810×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05297452
113187114
249977043
05297452
113187114
249977043
01163
113763
2193663
05297452
113187114
249977043
027183
1461165
27363165
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 286 to 225 computations (21.3% saved)

end0.0ms (0%)

preprocess46.0ms (1%)

Compiler

Compiled 92 to 70 computations (23.9% saved)

Profiling

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