Logistic function from Lakshay Garg

Time bar (total: 12.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.3s (10.9%)

Results
555.0ms2030×body1024valid
511.0ms5025×body256valid
171.0ms993×body512valid
65.0ms208×body2048valid
Bogosity

preprocess191.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1060×fma-def
982×associate-*l/
668×unswap-sqr
598×sub-neg
572×div-sub
Problems
129×(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
127×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029240
153232
2104224
3183224
4309224
5704224
62272224
74457224
87011224
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 (neg.f64 x))))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (neg.f64 x)))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 2 x))))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(neg.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))
(neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (neg.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
Symmetry

(abs y)

Compiler

Compiled 50 to 43 computations (14% saved)

eval1.0ms (0%)

Compiler

Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 24 to 22 computations (8.3% saved)

localize96.0ms (0.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓100.0%
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 38 to 32 computations (15.8% saved)

series5.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms
x
@inf
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms
x
@-inf
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0ms
x
@inf
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0ms
x
@-inf
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite141.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
751×log1p-expm1-u
751×expm1-log1p-u
702×log-prod
538×fma-def
500×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
115778
2209178
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(fma.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) -4) 1) (expm1.f64 (*.f64 -2 x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)
(sqrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (pow.f64 (exp.f64 -2) x) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2))
(*.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2)
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)) 1/2)
(pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(exp.f64 (*.f64 (-.f64 (log.f64 8) (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log.f64 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) -1)

simplify111.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1326×fma-def
814×fma-neg
762×div-sub
632×exp-prod
356×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03265923
17015707
218495547
358705547
Stop Event
1×node limit
Counts
155 → 226
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(fma.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) -4) 1) (expm1.f64 (*.f64 -2 x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)
(sqrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (pow.f64 (exp.f64 -2) x) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2))
(*.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 1))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) 2)
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) -2) (log.f64 (exp.f64 2)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)) 1/2)
(pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(exp.f64 (*.f64 (-.f64 (log.f64 8) (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log.f64 1/2)) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) -1)
Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -17/315 (pow.f64 x 7)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 (fma.f64 x -2 2) (*.f64 2 (pow.f64 x 2)))
(fma.f64 x -2 (fma.f64 2 (pow.f64 x 2) 2))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -2 2) (fma.f64 (pow.f64 x 3) -4/3 (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x (+.f64 -2 (*.f64 x 2)))))
(+.f64 (fma.f64 x -2 2) (*.f64 (pow.f64 x 2) (+.f64 2 (*.f64 x -4/3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) (+.f64 x 1))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (log.f64 (exp.f64 1)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (-.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -1) (-.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) 1))))
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(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 2 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (exp.f64 x) -4) (pow.f64 (exp.f64 -2) x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) -6)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (*.f64 2 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 1 (pow.f64 (exp.f64 x) -4)))
(/.f64 (*.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 1 (pow.f64 (exp.f64 x) -4)))
(/.f64 2 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) -4)) (expm1.f64 (*.f64 x -2))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))
(pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)) 1/3)
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) 1) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3)))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 8) (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/3))
(exp.f64 (*.f64 1/3 (+.f64 (log.f64 8) (*.f64 -3 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (exp.f64 (+.f64 (log.f64 8) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) -3))))
(cbrt.f64 (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -3 (log.f64 8))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log.f64 1/2)) -1))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1 -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1)

eval97.0ms (0.8%)

Compiler

Compiled 3685 to 3185 computations (13.6% saved)

prune45.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2197226
Fresh000
Picked011
Done000
Total2198227
Accuracy
100.0%
Counts
227 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶26.7%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶6.1%
(-.f64 (+.f64 x 1) 1)
▶50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
52.6%
x
▶53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶26.7%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶6.1%
(-.f64 (+.f64 x 1) 1)
▶50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
52.6%
x
Compiler

Compiled 306 to 274 computations (10.5% saved)

localize2.9s (24.1%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓100.0%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓99.6%
(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓53.4%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
✓100.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓99.8%
(*.f64 -1/3 (pow.f64 x 3))
✓100.0%
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓53.4%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓53.4%
(-.f64 (+.f64 x 1) 1)
✓99.6%
(log1p.f64 (pow.f64 (exp.f64 -2) x))
✓99.5%
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
✓99.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
✓53.4%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
Compiler

Compiled 148 to 118 computations (20.3% saved)

series142.0ms (1.2%)

Counts
12 → 115
Calls

36 calls:

TimeVariablePointExpression
50.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
40.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
18.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
18.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)

rewrite167.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
694×expm1-udef
692×log1p-udef
622×log1p-expm1-u
268×associate-*r*
209×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033293
1556275
26296275
Stop Event
1×node limit
Counts
12 → 336
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
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(*.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
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(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3))
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(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1)
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(*.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
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(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
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x
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 1) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))

simplify177.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
982×log-prod
712×fma-def
618×exp-prod
604×associate-*r*
574×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063116340
1144715394
2609815394
Stop Event
1×node limit
Counts
451 → 399
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
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(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
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(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
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(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1/3))
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(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
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(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 1) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 -1/45 (pow.f64 x 6))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1) 1/3)
(cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) 1/2) x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (pow.f64 x 4) -1/12 (*.f64 (pow.f64 x 2) 1/2)) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 (+.f64 x 1) (pow.f64 x 2))
(+.f64 1 (fma.f64 x x x))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (fma.f64 x x (pow.f64 x 3)) 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))))
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 -1/45 (pow.f64 x 6))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) 4))
(*.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) (*.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) 3) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 1) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) -1) (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 -1 (/.f64 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(fabs.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 1)
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1)
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 1 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))))
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(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1/3))
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(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/3)
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(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1)
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 3)
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6) 2)
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
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(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1/3))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
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(log1p.f64 (pow.f64 (exp.f64 -2) x))
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x
(+.f64 1 (+.f64 x -1))
x
(+.f64 (+.f64 x 1) -1)
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 x 1))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
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x
(*.f64 x 1)
x
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x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
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x
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x
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x
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x
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x
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x
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x
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x
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x
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x
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x
(cbrt.f64 (pow.f64 x 3))
x
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x
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x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
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x
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x
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x
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x
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x
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 1) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6)) (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1/6))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) -1) (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 -1 (/.f64 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 3/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 2)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(fabs.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 1))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))

eval162.0ms (1.3%)

Compiler

Compiled 6076 to 5226 computations (14% saved)

prune81.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New3954399
Fresh022
Picked145
Done011
Total39611407
Accuracy
100.0%
Counts
407 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶52.3%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.1%
(-.f64 (+.f64 x 1) 1)
✓50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶6.1%
(+.f64 1 (+.f64 x -1))
▶52.4%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
▶29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
52.6%
x
25.5%
-1
✓53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶52.3%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.1%
(-.f64 (+.f64 x 1) 1)
✓50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶6.1%
(+.f64 1 (+.f64 x -1))
▶52.4%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
▶29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
52.6%
x
25.5%
-1
Compiler

Compiled 218 to 188 computations (13.8% saved)

localize1.7s (14.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (+.f64 x 2) x)
✓99.9%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓88.0%
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
✓75.2%
(+.f64 1 (+.f64 x -1))
✓100.0%
(/.f64 1 (+.f64 x 2))
✓100.0%
(*.f64 (+.f64 x 2) x)
✓88.0%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓99.9%
(*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
✓99.8%
(*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)
✓97.6%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
75.2%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
Compiler

Compiled 158 to 128 computations (19% saved)

series45.0ms (0.4%)

Counts
10 → 120
Calls

30 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)
15.0ms
x
@inf
(*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)
0.0ms
x
@0
(*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)
0.0ms
x
@inf
(*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
0.0ms
x
@-inf
(*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))

rewrite141.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
748×log1p-expm1-u
644×expm1-udef
642×log1p-udef
308×associate-*r*
220×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030314
1457192
26182192
Stop Event
1×node limit
Counts
10 → 288
Calls
Call 1
Inputs
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)
(*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (+.f64 x 2))
(+.f64 1 (+.f64 x -1))
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (+.f64 x 2) x)
Outputs
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)
(-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1)
(*.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))) 1) (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 1/3))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(+.f64 0 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))) 1)
(pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2))
(log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))
(log.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 1))
(log1p.f64 (-.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)))) 1)
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2) 9))
(log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1))
(-.f64 (+.f64 x 1) 1)
(/.f64 x 1)
(/.f64 (+.f64 2 x) (/.f64 (+.f64 2 x) x))
(/.f64 (*.f64 x (+.f64 2 x)) (+.f64 2 x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (neg.f64 (/.f64 -1 x)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (*.f64 (+.f64 2 x) (neg.f64 x)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 2 x))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 2 x))) (+.f64 x -2))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 2 x)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(*.f64 1 (+.f64 x 0))
(*.f64 (+.f64 x 0) 1)
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1) (-.f64 (+.f64 x 1) -1))
(pow.f64 (+.f64 x 0) 1)
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
(log.f64 (exp.f64 (+.f64 x 0)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
(expm1.f64 (log1p.f64 (+.f64 x 0)))
(exp.f64 (log.f64 (+.f64 x 0)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 0)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 2 x) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (+.f64 2 x) x))
(*.f64 -1 (/.f64 -1 x))
(*.f64 (/.f64 1 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 2 x) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) (+.f64 2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) x) (/.f64 (cbrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (+.f64 2 x)) (/.f64 (cbrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) x) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(neg.f64 (/.f64 (+.f64 2 x) (*.f64 (+.f64 2 x) (neg.f64 x))))
(sqrt.f64 (/.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 2 x)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))

simplify93.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1382×associate-*l*
976×associate-/l*
746×times-frac
716×fma-def
584×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05928538
114758346
Stop Event
1×node limit
Counts
408 → 366
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 7/90 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -62/2835 (pow.f64 x 6)) (*.f64 7/90 (pow.f64 x 4)))))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1))
(*.f64 3 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 3 (log.f64 x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 7/30 (pow.f64 x 4)) (*.f64 3 (log.f64 x))))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -62/945 (pow.f64 x 6)) (+.f64 (*.f64 7/30 (pow.f64 x 4)) (*.f64 3 (log.f64 x)))))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
(*.f64 3 (log.f64 (-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)
(-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1)
(*.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))) 1) (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 1/3))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(+.f64 0 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))) 1)
(pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2))
(log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))
(log.f64 (+.f64 1 (-.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1))) 1))
(log1p.f64 (-.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)))) 1)
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)) 2) 9))
(log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1) 3) 1))
(-.f64 (+.f64 x 1) 1)
(/.f64 x 1)
(/.f64 (+.f64 2 x) (/.f64 (+.f64 2 x) x))
(/.f64 (*.f64 x (+.f64 2 x)) (+.f64 2 x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (neg.f64 (/.f64 -1 x)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (*.f64 (+.f64 2 x) (neg.f64 x)) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 2 x))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 2 x))) (+.f64 x -2))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 2 x)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(*.f64 1 (+.f64 x 0))
(*.f64 (+.f64 x 0) 1)
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1) (-.f64 (+.f64 x 1) -1))
(pow.f64 (+.f64 x 0) 1)
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
(log.f64 (exp.f64 (+.f64 x 0)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
(expm1.f64 (log1p.f64 (+.f64 x 0)))
(exp.f64 (log.f64 (+.f64 x 0)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 0)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 2 x) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (+.f64 2 x) x))
(*.f64 -1 (/.f64 -1 x))
(*.f64 (/.f64 1 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 (+.f64 2 x) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) (+.f64 2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) x) (/.f64 (cbrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (+.f64 2 x)) (/.f64 (cbrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) x) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(neg.f64 (/.f64 (+.f64 2 x) (*.f64 (+.f64 2 x) (neg.f64 x))))
(sqrt.f64 (/.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (pow.f64 x 2) (*.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 2 x)))) 1)
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 -1/3 (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 2) (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 7/90 (pow.f64 x 4))))
(+.f64 (log.f64 x) (fma.f64 -1/3 (pow.f64 x 2) (*.f64 7/90 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -62/2835 (pow.f64 x 6)) (*.f64 7/90 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (fma.f64 -1/3 (pow.f64 x 2) (fma.f64 -62/2835 (pow.f64 x 6) (*.f64 7/90 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 2) (log.f64 x)) (fma.f64 7/90 (pow.f64 x 4) (*.f64 -62/2835 (pow.f64 x 6))))
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(/.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) x))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 x (/.f64 (+.f64 x -2) (fma.f64 x x -4)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) x) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 x (/.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) (+.f64 (pow.f64 x 3) 8)))
(/.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) x))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 x (/.f64 (+.f64 x -2) (fma.f64 x x -4)))
(pow.f64 (*.f64 x (+.f64 2 x)) 1)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)
(*.f64 x (+.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(fabs.f64 (*.f64 x (+.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))
(*.f64 x (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 2 x) 3)))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 2 x))) 1))
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))
(*.f64 x (+.f64 x 2))

eval157.0ms (1.3%)

Compiler

Compiled 7099 to 5830 computations (17.9% saved)

prune82.0ms (0.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New4475452
Fresh022
Picked224
Done055
Total44914463
Accuracy
100.0%
Counts
463 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶54.8%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
▶52.5%
(/.f64 1 (/.f64 1 x))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.1%
(-.f64 (+.f64 x 1) 1)
✓50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓6.1%
(+.f64 1 (+.f64 x -1))
▶50.4%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
▶55.0%
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
✓53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
▶29.5%
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
52.6%
x
25.5%
-1
✓53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
▶54.8%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
▶52.5%
(/.f64 1 (/.f64 1 x))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.1%
(-.f64 (+.f64 x 1) 1)
✓50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓6.1%
(+.f64 1 (+.f64 x -1))
▶50.4%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
▶55.0%
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
✓53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
▶29.5%
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
52.6%
x
25.5%
-1
Compiler

Compiled 390 to 336 computations (13.8% saved)

localize707.0ms (5.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))
✓100.0%
(+.f64 (pow.f64 (exp.f64 -2) x) 1)
✓97.6%
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
✓75.2%
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)
100.0%
(*.f64 (+.f64 x 2) x)
✓100.0%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
✓100.0%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
✓99.9%
(/.f64 1 (/.f64 1 x))
100.0%
(/.f64 1 (+.f64 x 2))
✓99.9%
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 150 to 118 computations (21.3% saved)

series5.0ms (0%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
1.0ms
x
@0
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
0.0ms
x
@-inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
0.0ms
x
@inf
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)
0.0ms
x
@-inf
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)

rewrite146.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1540×prod-diff
344×associate-*r*
250×associate-*l*
226×frac-times
207×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031204
1493200
26661200
Stop Event
1×node limit
Counts
8 → 278
Calls
Call 1
Inputs
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(+.f64 (pow.f64 (exp.f64 -2) x) 1)
(/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))) 1)
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 1 (neg.f64 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x))))
(/.f64 (/.f64 1 (+.f64 x 2)) (/.f64 1/2 x))
(/.f64 -1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x)))
(/.f64 (*.f64 x -2) (+.f64 -2 (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))))
(/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 2 (+.f64 x 2)) (/.f64 1 x))
(/.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 -1 (/.f64 2 (+.f64 x 2))) (/.f64 -1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))))
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(pow.f64 (/.f64 (+.f64 x 2) (*.f64 x 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))) 1)
(*.f64 x (/.f64 2 (+.f64 x 2)))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(*.f64 2 (*.f64 x (/.f64 1 (+.f64 x 2))))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(*.f64 1 (/.f64 (*.f64 x 2) (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 1/2 x) -1))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (+.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2) (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 (+.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (*.f64 x 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (+.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (*.f64 (pow.f64 (+.f64 x 2) -1/2) (*.f64 x 2)))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 2 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 2 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 1 (+.f64 x 2)))
(*.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x -2))
(*.f64 (*.f64 (*.f64 x 2) (cbrt.f64 (pow.f64 (+.f64 x 2) -2))) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (*.f64 (*.f64 x 2) (pow.f64 (+.f64 x 2) -1/2)) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) 2)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(*.f64 (/.f64 (*.f64 x 2) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (+.f64 x 2) x)) 2)
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(pow.f64 (/.f64 (+.f64 x 2) (*.f64 x 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(+.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 1) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x -1/4 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) 3) (pow.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (-.f64 (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))) (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
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(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (sqrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (-.f64 (+.f64 (pow.f64 (exp.f64 -4) x) 1) (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -4) x) -1)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))

simplify154.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
980×associate-*r*
950×log-prod
904×associate-*l*
604×exp-prod
544×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057813272
1140612456
2635912412
Stop Event
1×node limit
Counts
374 → 362
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))) 1)
(/.f64 x (/.f64 (+.f64 x 2) 2))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x 2) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(/.f64 1 (neg.f64 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x))))
(/.f64 (/.f64 1 (+.f64 x 2)) (/.f64 1/2 x))
(/.f64 -1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x)))
(/.f64 (*.f64 x -2) (+.f64 -2 (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))))
(/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))
(/.f64 (/.f64 2 (+.f64 x 2)) (/.f64 1 x))
(/.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 -1 (/.f64 2 (+.f64 x 2))) (/.f64 -1 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))))
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(pow.f64 (/.f64 (+.f64 x 2) (*.f64 x 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))) 1)
(*.f64 x (/.f64 2 (+.f64 x 2)))
(*.f64 2 (/.f64 x (+.f64 x 2)))
(*.f64 2 (*.f64 x (/.f64 1 (+.f64 x 2))))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(*.f64 1 (/.f64 (*.f64 x 2) (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 1/2 x) -1))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(*.f64 -1 (/.f64 1 (*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (+.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2) (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 (+.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (*.f64 x 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (+.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (*.f64 (pow.f64 (+.f64 x 2) -1/2) (*.f64 x 2)))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 2 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 2 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 1 (+.f64 x 2)))
(*.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x -2))
(*.f64 (*.f64 (*.f64 x 2) (cbrt.f64 (pow.f64 (+.f64 x 2) -2))) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (*.f64 (*.f64 x 2) (pow.f64 (+.f64 x 2) -1/2)) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) 2)
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) (cbrt.f64 (*.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x 2))) (sqrt.f64 (*.f64 x 2)))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(*.f64 (/.f64 (*.f64 x 2) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (+.f64 x 2) x)) 2)
(pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 1)
(pow.f64 (/.f64 (+.f64 x 2) (*.f64 x 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 2) (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 2) (+.f64 x 2))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 2) (*.f64 x 2))) -1))
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(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (sqrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (-.f64 (+.f64 (pow.f64 (exp.f64 -4) x) 1) (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -4) x) -1)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/4 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/4 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/4 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 4 x)))
(+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x))) (/.f64 16 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 4 x)))
(+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x))) (/.f64 16 (pow.f64 x 3)))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/4 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/4 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/4 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 4 x)))
(+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x))) (/.f64 16 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 4 x)))
(+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x)))
(-.f64 (+.f64 2 (*.f64 8 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 x 2)) (+.f64 2 (/.f64 -4 x))) (/.f64 16 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(*.f64 -1/4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/4)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(*.f64 -1/4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/4)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
(fma.f64 (pow.f64 x 3) -1/4 x)
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 2 (pow.f64 x 2) (*.f64 x -2)))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -2 2) (fma.f64 (pow.f64 x 3) -4/3 (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 3) -1/3))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 1 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
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(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))) (-.f64 (+.f64 (pow.f64 (exp.f64 -4) x) 1) (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 -4) x) (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3)))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 -4) x) (-.f64 (pow.f64 (exp.f64 x) -2) 1))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(/.f64 (*.f64 2 (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (*.f64 x -2)))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 x 3))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -4) x) -1)) (expm1.f64 (*.f64 x -2)))
(/.f64 (*.f64 2 (expm1.f64 (*.f64 x -2))) (+.f64 -1 (pow.f64 (exp.f64 -4) x)))
(*.f64 (expm1.f64 (*.f64 x -2)) (/.f64 2 (+.f64 -1 (pow.f64 (exp.f64 -4) x))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))

eval171.0ms (1.4%)

Compiler

Compiled 7136 to 5911 computations (17.2% saved)

prune82.0ms (0.7%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New4426448
Fresh022
Picked415
Done077
Total44616462
Accuracy
100.0%
Counts
462 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
27.2%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
✓53.4%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.1%
(-.f64 (+.f64 x 1) 1)
6.1%
(-.f64 2 (/.f64 4 x))
50.3%
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
✓50.6%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓6.1%
(+.f64 1 (+.f64 x -1))
55.0%
(*.f64 (/.f64 2 (+.f64 x 2)) x)
✓50.4%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
✓53.4%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓29.5%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
29.5%
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
52.6%
x
7.3%
2
25.5%
-1
Compiler

Compiled 442 to 357 computations (19.2% saved)

regimes208.0ms (1.7%)

Counts
23 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
Outputs
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

7 calls:

97.0ms
y
37.0ms
(*.f64 -2 x)
37.0ms
x
6.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
AccuracySegmentsBranch
100.0%3x
67.0%8y
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 286 to 230 computations (19.6% saved)

regimes103.0ms (0.8%)

Counts
22 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
Outputs
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

36.0ms
(*.f64 -2 x)
34.0ms
x
7.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 268 to 214 computations (20.1% saved)

regimes96.0ms (0.8%)

Counts
21 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

34.0ms
(*.f64 -2 x)
32.0ms
x
6.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 256 to 203 computations (20.7% saved)

regimes166.0ms (1.4%)

Counts
20 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) -1)))
Outputs
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

104.0ms
(*.f64 -2 x)
31.0ms
x
7.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 247 to 195 computations (21.1% saved)

regimes127.0ms (1.1%)

Counts
18 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

51.0ms
(*.f64 -2 x)
46.0ms
x
8.0ms
(exp.f64 (*.f64 -2 x))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 223 to 173 computations (22.4% saved)

regimes24.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (/.f64 2 (+.f64 x 2)) x)
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(+.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 x 2) 1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 x (*.f64 (+.f64 x 2) 1/2))) (*.f64 (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 x 2) 1/2)) (*.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
Outputs
-1
(*.f64 (/.f64 2 (+.f64 x 2)) x)
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
77.8%2x
Compiler

Compiled 172 to 128 computations (25.6% saved)

regimes16.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
Outputs
-1
x
(-.f64 2 (/.f64 4 x))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
78.1%3x
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes34.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
Outputs
-1
x
2
Calls

1 calls:

34.0ms
x
Results
AccuracySegmentsBranch
78.1%3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.1%)

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

2 calls:

6.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
25.5%1y
30.9%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
25.5%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.347798582844762e-5
15.642789402098773
0.0ms
-0.12121668338505537
-6.465477108196754e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.347798582844762e-5
15.642789402098773
0.0ms
-0.12121668338505537
-6.465477108196754e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.347798582844762e-5
15.642789402098773
0.0ms
-0.12121668338505537
-6.465477108196754e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.347798582844762e-5
15.642789402098773
0.0ms
-0.12121668338505537
-6.465477108196754e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.347798582844762e-5
15.642789402098773
0.0ms
-0.12121668338505537
-6.465477108196754e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-7.821394701049386
-4.173899291422381e-5
Results
15.0ms144×body256valid
Compiler

Compiled 143 to 123 computations (14% saved)

bsearch38.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.060608341692527684
2167826128.417595
17.0ms
-7.821394701049386
-4.173899291422381e-5
Results
35.0ms304×body256valid
Compiler

Compiled 209 to 178 computations (14.8% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.060608341692527684
2167826128.417595
17.0ms
-7.821394701049386
-4.173899291422381e-5
Results
34.0ms304×body256valid
Compiler

Compiled 169 to 148 computations (12.4% saved)

bsearch44.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
7.832844800423554e-309
2.5142610942751528e-304
Results
42.0ms128×body2048valid
Compiler

Compiled 81 to 79 computations (2.5% saved)

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
24×+-commutative
20×*-commutative
18×sub-neg
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074766
198766
2112766
3124766
4129766
5130766
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 (/.f64 2 (+.f64 x 2)) x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 5/2) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 3) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (not (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(if (or (<=.f64 (*.f64 -2 x) -3602879701896397/36028797018963968) (not (<=.f64 (*.f64 -2 x) 7378697629483821/73786976294838206464))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 (/.f64 2 (+.f64 x 2)) x))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 x (/.f64 2 (+.f64 x 2))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 5/2) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Compiler

Compiled 259 to 219 computations (15.4% saved)

soundness1.7s (14.5%)

Rules
1540×prod-diff
1382×associate-*l*
1326×fma-def
1326×fma-def
1326×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
115778
2209178
03265923
17015707
218495547
358705547
03265923
17015707
218495547
358705547
033293
1556275
26296275
05928538
114758346
057813272
1140612456
2635912412
033293
1556275
26296275
031204
1493200
26661200
030314
1457192
26182192
01478
115778
2209178
03265923
17015707
218495547
358705547
01478
115778
2209178
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1102 to 962 computations (12.7% saved)

end0.0ms (0%)

preprocess170.0ms (1.4%)

Remove

(abs y)

Compiler

Compiled 690 to 584 computations (15.4% saved)

Profiling

Loading profile data...