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

Time bar (total: 5.5s)

analyze2.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample1.1s (19.9%)

Results
1.1s8251×body256valid
1.0ms5×body1024valid
0.0ms2×body256invalid
Bogosity

preprocess84.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
522×fma-def
104×associate-*r*
82×distribute-lft-neg-in
62×cancel-sign-sub-inv
58×distribute-rgt-in
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017136
132120
253120
3114120
4227120
5480120
6907120
7928120
8946120
9964120
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 34 to 26 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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

Compiled 18 to 14 computations (22.2% saved)

localize42.0ms (0.8%)

Localize:

Found 2 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@-inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms
x
@inf
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite124.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
998×unpow-prod-down
848×prod-diff
679×log1p-expm1-u
678×expm1-log1p-u
614×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
113449
2191349
Stop Event
1×node limit
Counts
2 → 136
Calls
Call 1
Inputs
(/.f64 x (+.f64 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 x) (*.f64 (sqrt.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 (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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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))))))
(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 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (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))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 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 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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)))))
(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))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 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)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)

simplify83.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1676×fma-def
756×sqr-pow
588×exp-prod
540×cube-prod
490×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03946006
19675661
239925545
Stop Event
1×node limit
Counts
144 → 216
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 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 (sqrt.f64 x) (*.f64 (sqrt.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 (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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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))))))
(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 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1 (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))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 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 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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 (+.f64 1 (+.f64 x 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)))))
(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))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 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)
(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))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 -1/8 (pow.f64 x 2) 2))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 2))
(+.f64 (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)) (fma.f64 -1/8 (pow.f64 x 2) 2))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.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 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.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 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (/.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 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (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 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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (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 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 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.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 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 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 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (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 (/.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 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (neg.f64 x))
(+.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.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 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2)))
(*.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 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2)))
(*.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))
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(/.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 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 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 x 1) (-.f64 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 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 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 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.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 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)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 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 x 1) (-.f64 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 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.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 (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 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.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 (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 (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)
(+.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)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)

eval82.0ms (1.5%)

Compiler

Compiled 3740 to 3009 computations (19.5% saved)

prune38.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2097216
Fresh000
Picked011
Done000
Total2098217
Accuracy
100.0%
Counts
217 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
88.4%
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
97.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
▶70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶70.1%
(/.f64 x 2)
▶68.7%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
▶36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶97.7%
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
88.4%
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
97.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
▶70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶70.1%
(/.f64 x 2)
▶68.7%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
▶36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Compiler

Compiled 306 to 242 computations (20.9% saved)

localize390.0ms (7.1%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 x 2)
✓100.0%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
✓99.7%
(*.f64 -1/8 (pow.f64 x 2))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
✓100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓99.0%
(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
✓98.9%
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
Compiler

Compiled 109 to 82 computations (24.8% saved)

series144.0ms (2.6%)

Counts
7 → 19
Calls

21 calls:

TimeVariablePointExpression
77.0ms
x
@-inf
(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
34.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
17.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
7.0ms
x
@inf
(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
2.0ms
x
@0
(*.f64 -1/8 (pow.f64 x 2))

rewrite192.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1093×log1p-expm1-u
512×log1p-udef
508×expm1-udef
417×expm1-log1p-u
204×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025165
1353138
25006138
Stop Event
1×node limit
Counts
7 → 264
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(pow.f64 x 2)
Outputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) 3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.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 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (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 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))

simplify209.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
770×log-prod
536×exp-prod
470×cancel-sign-sub-inv
448×distribute-lft-neg-in
448×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04859103
110868595
239608520
Stop Event
1×node limit
Counts
283 → 267
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)))))
(*.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 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) 3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.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 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (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 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(-.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 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (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 (cbrt.f64 (pow.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) (cbrt.f64 (pow.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) (cbrt.f64 (pow.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))
(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))))
(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))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -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 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) 3) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3) (pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1/6))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.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 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) 3/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (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 -1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512))
(expm1.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/8 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x))))
(*.f64 1 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))))
(*.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 2) (cbrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) (sqrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x)) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -1/512) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))))
(fma.f64 x 1/2 (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 1 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) -1/8 (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 -1/8 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 -1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/8)) (*.f64 x (sqrt.f64 -1/8)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 2))) 1)
(*.f64 x x)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/32 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 (/.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 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 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 (pow.f64 x 4) -5/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16))))
(*.f64 1/2 x)
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(+.f64 (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 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
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(*.f64 x x)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(pow.f64 x 2)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 2)
(sqrt.f64 (pow.f64 x 4))
(pow.f64 x 2)
(log.f64 (exp.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(pow.f64 x 2)
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(pow.f64 x 2)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(pow.f64 x 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(pow.f64 x 2)
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(pow.f64 x 2)

eval255.0ms (4.6%)

Compiler

Compiled 8233 to 6770 computations (17.8% saved)

prune106.0ms (1.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4803483
Fresh022
Picked235
Done011
Total4829491
Accuracy
100.0%
Counts
491 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.5%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
▶88.4%
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
▶97.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓70.1%
(/.f64 x 2)
▶68.7%
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
4.7%
2
▶68.5%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
▶88.4%
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
▶97.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓70.1%
(/.f64 x 2)
▶68.7%
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
4.7%
2
Compiler

Compiled 156 to 122 computations (21.8% saved)

localize290.0ms (5.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.0%
(cbrt.f64 (/.f64 x 2))
✓98.9%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
✓100.0%
(+.f64 1 (+.f64 x 1))
✓100.0%
(pow.f64 (+.f64 x 1) 3/2)
✓99.7%
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
✓88.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓99.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓99.7%
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
✓97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓99.7%
(*.f64 -1/8 (*.f64 x x))
Compiler

Compiled 145 to 102 computations (29.7% saved)

series54.0ms (1%)

Counts
10 → 84
Calls

30 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
5.0ms
x
@-inf
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
4.0ms
x
@-inf
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
4.0ms
x
@-inf
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)

rewrite162.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
670×log1p-udef
668×expm1-udef
377×log1p-expm1-u
300×associate-*r*
205×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030268
1463250
26665250
Stop Event
1×node limit
Counts
10 → 343
Calls
Call 1
Inputs
(*.f64 -1/8 (*.f64 x x))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 x 1) 3/2)
(+.f64 1 (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
(cbrt.f64 (/.f64 x 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/8 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/8 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3/2)) (+.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(*.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
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(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 (log1p.f64 x) 3/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3/2) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 2))) 1)
(-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 2) (neg.f64 x)))
(*.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) 1)
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) x)) (+.f64 1 (pow.f64 (+.f64 x 1) 3))))
(/.f64 1 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (neg.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) 1) x)
(pow.f64 (+.f64 x 2) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 2) 2))
(log.f64 (exp.f64 (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2)))
(exp.f64 (log1p.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2)))
(fma.f64 1 (+.f64 x 1) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 1 (*.f64 x 1/2))
(*.f64 (*.f64 x 1/2) 1)
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (neg.f64 x) -1/2)
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) 3) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 (*.f64 x 1/2) 1/6)) (pow.f64 (*.f64 x 1/2) 1/6))
(/.f64 x 2)
(/.f64 x (pow.f64 (cbrt.f64 2) 3))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (/.f64 (/.f64 2 x) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 x)))
(/.f64 (neg.f64 x) -2)
(/.f64 -1 (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 x)) 2)
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 x)) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 2))
(neg.f64 (/.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 x) (pow.f64 1/2 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 2 x)))
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 2))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -2))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 2)))
(pow.f64 (*.f64 x 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/2))))

simplify235.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
866×associate-*r*
770×associate-*l*
614×*-commutative
584×fma-neg
536×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080618761
1200416709
2795616709
Stop Event
1×node limit
Counts
427 → 511
Calls
Call 1
Inputs
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))) 1)
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 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (*.f64 1/2 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 (*.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (*.f64 -1/8 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2))))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2))) (+.f64 (*.f64 1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 x (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (*.f64 x (pow.f64 (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 3)))) (/.f64 x (-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))))
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2
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1
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2
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x
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x
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(*.f64 (/.f64 1 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))) (/.f64 x (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)) -1)) (neg.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 2)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 x (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))) -1)
(neg.f64 (/.f64 x (/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)) -1) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 x 1))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 (log1p.f64 x) 3/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3/2) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 3))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 2))) 1)
(-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (pow.f64 (+.f64 x 1) 2) (neg.f64 x)))
(*.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) 1)
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1) x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) x)) (+.f64 1 (pow.f64 (+.f64 x 1) 3))))
(/.f64 1 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (neg.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) 1) x)
(pow.f64 (+.f64 x 2) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 2) 2))
(log.f64 (exp.f64 (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2)))
(exp.f64 (log1p.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2)))
(fma.f64 1 (+.f64 x 1) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 1 (*.f64 x 1/2))
(*.f64 (*.f64 x 1/2) 1)
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (neg.f64 x) -1/2)
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) 3) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (pow.f64 (*.f64 x 1/2) 1/6)) (pow.f64 (*.f64 x 1/2) 1/6))
(/.f64 x 2)
(/.f64 x (pow.f64 (cbrt.f64 2) 3))
(/.f64 1 (/.f64 2 x))
(/.f64 1 (/.f64 (/.f64 2 x) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 x)))
(/.f64 (neg.f64 x) -2)
(/.f64 -1 (neg.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (neg.f64 x)) 2)
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 x)) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 2))
(neg.f64 (/.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(*.f64 (cbrt.f64 x) (pow.f64 1/2 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 2 x)))
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (cbrt.f64 2))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -2))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 2)))
(pow.f64 (*.f64 x 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/2))))
Outputs
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 x 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 x 1/2)))
(+.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 x 1/2))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) -1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) -1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)))) -1)
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(+.f64 (+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x))) -1)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
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2
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(fma.f64 x 1/2 2)
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(*.f64 x 1/2)
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2
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(+.f64 2 (*.f64 x 1/2))
(fma.f64 x 1/2 2)
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1
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(fma.f64 x 3/2 1)
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(*.f64 x 1/2)
(exp.f64 (log.f64 (*.f64 x 1/2)))
(*.f64 x 1/2)
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1))
(*.f64 x 1/2)
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(*.f64 x 1/2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(cbrt.f64 (*.f64 x 1/2))
(*.f64 1 (cbrt.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 x) (pow.f64 1/2 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2)))
(/.f64 (cbrt.f64 x) (cbrt.f64 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 x 1/2))))
(/.f64 1 (cbrt.f64 (/.f64 2 x)))
(/.f64 1 (/.f64 (cbrt.f64 2) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2)))
(/.f64 (cbrt.f64 x) (cbrt.f64 2))
(/.f64 (cbrt.f64 x) (cbrt.f64 2))
(*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2)))
(/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -2))
(/.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 2)))
(*.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 2)))
(pow.f64 (*.f64 x 1/2) 1/3)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3)
(cbrt.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)
(cbrt.f64 (*.f64 x 1/2))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1))
(cbrt.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))

eval269.0ms (4.9%)

Compiler

Compiled 12211 to 9660 computations (20.9% saved)

prune80.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5092511
Fresh011
Picked224
Done044
Total5119520
Accuracy
100.0%
Counts
520 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.5%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
▶56.0%
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
✓70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓70.1%
(/.f64 x 2)
✓68.7%
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
4.7%
2
✓68.5%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
▶56.0%
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
✓70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓70.1%
(/.f64 x 2)
✓68.7%
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
4.7%
2
Compiler

Compiled 142 to 110 computations (22.5% saved)

localize140.0ms (2.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓99.7%
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
✓99.7%
(/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓57.0%
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
✓100.0%
(*.f64 (log1p.f64 x) 1/2)
97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
Compiler

Compiled 93 to 59 computations (36.6% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
0.0ms
x
@inf
(/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
0.0ms
x
@-inf
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
0.0ms
x
@-inf
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
0.0ms
x
@inf
(*.f64 (log1p.f64 x) 1/2)

rewrite94.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
994×log1p-expm1-u
993×expm1-log1p-u
330×prod-diff
310×expm1-udef
310×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017149
124077
2370377
Stop Event
1×node limit
Counts
4 → 180
Calls
Call 1
Inputs
(*.f64 (log1p.f64 x) 1/2)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (*.f64 (log1p.f64 x) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) 1/4))
(log.f64 (pow.f64 (+.f64 x 1) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (log.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log1p.f64 x) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/2) 1) 1)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(/.f64 -1 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 -1 (*.f64 (neg.f64 x) (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(/.f64 -1 (*.f64 (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (/.f64 x (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (pow.f64 x 2) (*.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x))
(/.f64 (*.f64 x (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 x 2))
(/.f64 (*.f64 -1 (neg.f64 x)) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (*.f64 x -1) (*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) -1) (*.f64 (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 x)) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 x)) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 1 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) x)
(*.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (pow.f64 x 2) (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (neg.f64 x) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 x)) (/.f64 (sqrt.f64 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 x (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2))
(*.f64 (/.f64 (pow.f64 x 2) x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 x 2) 1) (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 x 2) (neg.f64 x)) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/2) 1) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (/.f64 1 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 x))
(*.f64 -1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (*.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)) (/.f64 x (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (pow.f64 x 2)) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))

simplify159.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1086×times-frac
1020×log-prod
760×associate-*r*
742×exp-prod
686×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049910940
113798863
262087977
Stop Event
1×node limit
Counts
228 → 308
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 -1/2 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/16 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))) 1)
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 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 x)) (/.f64 (sqrt.f64 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 x (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2))
(*.f64 (/.f64 (pow.f64 x 2) x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 x 2) 1) (/.f64 1 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (pow.f64 x 2) (neg.f64 x)) (/.f64 -1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) 1/2) 1) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x))
(*.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (/.f64 1 x) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (/.f64 1 x))
(*.f64 -1 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x)))
(*.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (*.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)) (/.f64 x (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x (pow.f64 x 2)) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/4 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/4 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 x))))
(*.f64 -1/2 (log.f64 (/.f64 1 x)))
(*.f64 -1/2 (neg.f64 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/2 (neg.f64 (log.f64 x)) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1/2 (neg.f64 (log.f64 x)) (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (fma.f64 -1/2 (neg.f64 (log.f64 x)) (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/2 (neg.f64 (log.f64 x)) (*.f64 -1/4 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1/2 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 1/6 (pow.f64 x 3)))) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (+.f64 (fma.f64 -1/2 (neg.f64 (log.f64 x)) (/.f64 1/2 x)) (/.f64 1/6 (pow.f64 x 3))) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/6 (pow.f64 x 3))) (fma.f64 -1/2 (neg.f64 (log.f64 x)) (*.f64 -1/4 (pow.f64 x -2))))
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 1/2 (log.f64 x))
(+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/2 x))
(fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/2 x))
(fma.f64 1/2 (log.f64 x) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 2)))
(+.f64 (fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2)))
(+.f64 (/.f64 1/2 x) (fma.f64 1/2 (log.f64 x) (*.f64 -1/4 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/6 (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/2 x)) (*.f64 -1/4 (pow.f64 x -2))))
(+.f64 (/.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (fma.f64 1/2 (log.f64 x) (*.f64 -1/4 (pow.f64 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))
(fma.f64 (pow.f64 x 2) -1/8 (*.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 (pow.f64 x 2) -1/8 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 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 (pow.f64 x 2) -1/8 (fma.f64 (pow.f64 x 4) -5/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(+.f64 -1 (pow.f64 (/.f64 1 x) -1/2))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) -1)
(+.f64 -1 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)))
(-.f64 (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) -1)
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2
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(fma.f64 1/2 x 2)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) (/.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x (pow.f64 x 2)) (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(fabs.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3) (pow.f64 x 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(*.f64 (/.f64 x x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))

eval385.0ms (7%)

Compiler

Compiled 16592 to 12252 computations (26.2% saved)

prune91.0ms (1.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New7371738
Fresh011
Picked112
Done066
Total7389747
Accuracy
100.0%
Counts
747 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.5%
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
57.1%
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))))
✓70.6%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓70.1%
(/.f64 x 2)
✓68.7%
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
✓36.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
✓97.7%
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
4.7%
2
Compiler

Compiled 206 to 154 computations (25.2% saved)

regimes22.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))))))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (cbrt.f64 (/.f64 x 2)) 3)
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

10.0ms
x
9.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 143 to 105 computations (26.6% 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 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
70.6%1x
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
70.1%1x
Compiler

Compiled 7 to 5 computations (28.6% 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
4.7%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch36.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
5.2745723219846524e-11
0.012637485855753715
Results
34.0ms144×body256valid
Compiler

Compiled 184 to 145 computations (21.2% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
4×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029131
138131
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5312662293228351/590295810358705651712) (+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x)) (+.f64 -1 (sqrt.f64 (+.f64 x 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 5312662293228351/590295810358705651712) (+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 1/2 x)) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 5312662293228351/590295810358705651712) (+.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x 1/2)) (+.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 43 to 33 computations (23.3% saved)

soundness503.0ms (9.2%)

Rules
1676×fma-def
1676×fma-def
1093×log1p-expm1-u
998×unpow-prod-down
848×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025165
1353138
25006138
01149
113449
2191349
03946006
19675661
239925545
03946006
19675661
239925545
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 245 to 188 computations (23.3% saved)

end0.0ms (0%)

preprocess91.0ms (1.6%)

Compiler

Compiled 96 to 72 computations (25% saved)

Profiling

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