Logistic function from Lakshay Garg

Time bar (total: 4.8s)

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)

sample1.4s (30.1%)

Results
712.0ms2044×body1024valid
479.0ms4990×body256valid
169.0ms1011×body512valid
66.0ms211×body2048valid
Bogosity

preprocess186.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1060×fma-def
982×associate-*l/
668×unswap-sqr
598×sub-neg
572×div-sub
Problems
132×(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
124×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
▶51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 24 to 22 computations (8.3% saved)

localize102.0ms (2.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓100.0%
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 38 to 32 computations (15.8% saved)

series4.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
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)
1.0ms
x
@0
(-.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))))

rewrite125.0ms (2.6%)

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 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(+.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 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)
(-.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)

simplify106.0ms (2.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03265923
17015707
218495547
358795547
Stop Event
1×node limit
Counts
155 → 223
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)
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)))))
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 (/.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 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)
(-.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)
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 (*.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)
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 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 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1) (*.f64 2/15 (pow.f64 x 5)))
(+.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))
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)))
(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 (/.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))))
(/.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))))))
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(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (-.f64 1 (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 x) -2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) -4)) (expm1.f64 (*.f64 x -2)))
(/.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 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.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 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) -4)) (expm1.f64 (*.f64 x -2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) -4) 1) (expm1.f64 (*.f64 -2 x)))
(/.f64 (-.f64 1 (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 x) -2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) -4)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4) 1/2)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6) 1/3)
(cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 1 (exp.f64 x))) 6))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -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)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)
(/.f64 (-.f64 1 (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 x) -2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) -4)) (expm1.f64 (*.f64 x -2)))
(sqrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 4))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 6))
(cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 1 (exp.f64 x))) 6))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1/3))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (exp.f64 -2) x) 1 1)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(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) -2)) (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 (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) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (pow.f64 (exp.f64 x) -2))

eval125.0ms (2.6%)

Compiler

Compiled 3632 to 3145 computations (13.4% saved)

prune36.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2185223
Fresh000
Picked011
Done000
Total2186224
Accuracy
100.0%
Counts
224 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.3%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶4.6%
(-.f64 1 1)
▶52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
54.3%
x
▶27.3%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶4.6%
(-.f64 1 1)
▶52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
54.3%
x
Compiler

Compiled 102 to 90 computations (11.8% saved)

localize653.0ms (13.7%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.7%
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓51.9%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓100.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓99.9%
(*.f64 -1/3 (pow.f64 x 3))
✓100.0%
(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓100.0%
(pow.f64 (exp.f64 x) -2)
✓51.9%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 86 to 66 computations (23.3% saved)

series64.0ms (1.3%)

Counts
7 → 63
Calls

21 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
14.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
2.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
0.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))

rewrite116.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1034×log1p-expm1-u
702×expm1-log1p-u
532×expm1-udef
530×log1p-udef
212×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023151
1327139
24423139
Stop Event
1×node limit
Counts
7 → 179
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (exp.f64 x) -2)
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
Outputs
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) -2) 1) 1)
(*.f64 (pow.f64 (exp.f64 x) -2) 1)
(*.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 1 (exp.f64 x)) (/.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -2) (pow.f64 (sqrt.f64 (exp.f64 x)) -2))
(sqrt.f64 (pow.f64 (exp.f64 x) -4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 x -2))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) -2) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/9) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x -1/3) (pow.f64 x 3))))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9)) (/.f64 1 (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x -1/3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/3 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x -1/3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x -1/3) (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 x -1/3) (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 6) 1/9)) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) -1) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (+.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1) (-.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) -1)) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))))
(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)) -1)) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)
(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(-.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1)
(*.f64 2 (/.f64 1 (fma.f64 x -2 2)))
(*.f64 2 (*.f64 (/.f64 1 (fma.f64 x -2 2)) 1))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))))
(*.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (/.f64 1 (fma.f64 x -2 2)) 2)
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 -4 x))))
(*.f64 (/.f64 2 (-.f64 4 (*.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 2 x)))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))

simplify96.0ms (2%)

Algorithm
1×egg-herbie
Rules
946×fma-neg
704×log-prod
670×distribute-lft-neg-in
598×times-frac
422×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04618325
110707359
238007352
Stop Event
1×node limit
Counts
242 → 284
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 (/.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)))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.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 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
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))))))
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
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(*.f64 (/.f64 2 (-.f64 4 (*.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 2 x)))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
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 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/12 (pow.f64 x 4) (*.f64 -1/45 (pow.f64 x 6)))))
(+.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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 x -2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (fma.f64 x -2 1) (*.f64 2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 x -2 (fma.f64 2 (pow.f64 x 2) (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 x -2 1) (fma.f64 2 (pow.f64 x 2) (*.f64 -4/3 (pow.f64 x 3))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(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) (fma.f64 (pow.f64 x 2) 1/2 (neg.f64 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 2) 1/2 (*.f64 (pow.f64 x 4) -1/12)) x))
(+.f64 (-.f64 (log.f64 2) x) (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/12)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (pow.f64 (exp.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 (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 x (fma.f64 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 x (fma.f64 x x (+.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 (+.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 (/.f64 1 x) (/.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))))
(+.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)))
(+.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 (+.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 (/.f64 1 x) (/.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))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (-.f64 (/.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 1 (fma.f64 x x x))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 x (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 x (+.f64 (fma.f64 x x (pow.f64 x 3)) 1))
(+.f64 x (+.f64 1 (fma.f64 x x (pow.f64 x 3))))
(/.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)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.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)))
(+.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))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.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 2)) (/.f64 1 (pow.f64 x 4)))))
(/.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)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.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)))
(+.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))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.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 2)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)))
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(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(-.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 2 (/.f64 1 (fma.f64 x -2 2)))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 2 (*.f64 (/.f64 1 (fma.f64 x -2 2)) 1))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (/.f64 1 (fma.f64 x -2 2)) 2)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -8) 8)) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 -4 x))))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (+.f64 4 (+.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 4 x))))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (+.f64 4 (*.f64 4 (fma.f64 x x x))))
(*.f64 (/.f64 2 (-.f64 4 (*.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 2 x)))
(*.f64 (/.f64 2 (-.f64 4 (*.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 x 2)))
(*.f64 (/.f64 2 (+.f64 4 (*.f64 (pow.f64 x 2) -4))) (fma.f64 x 2 2))
(*.f64 (/.f64 (fma.f64 x 2 2) (+.f64 (neg.f64 (pow.f64 x 2)) 1)) 1/2)
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3) 1/3)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x -2 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 3))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) 0)
(/.f64 2 (fma.f64 x -2 2))

eval111.0ms (2.3%)

Compiler

Compiled 4139 to 3413 computations (17.5% saved)

prune40.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2813284
Fresh011
Picked224
Done011
Total2837290
Accuracy
100.0%
Counts
290 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓4.6%
(-.f64 1 1)
✓52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
▶76.2%
(expm1.f64 x)
54.3%
x
26.5%
-1
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓4.6%
(-.f64 1 1)
✓52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
▶76.2%
(expm1.f64 x)
54.3%
x
26.5%
-1
Compiler

Compiled 94 to 82 computations (12.8% saved)

localize438.0ms (9.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 (exp.f64 (*.f64 x -2)))
✓51.9%
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
✓100.0%
(expm1.f64 x)
Compiler

Compiled 40 to 32 computations (20% saved)

series43.0ms (0.9%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
16.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
0.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
0.0ms
x
@0
(expm1.f64 x)
0.0ms
x
@0
(log1p.f64 (exp.f64 (*.f64 x -2)))

rewrite89.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1004×unpow-prod-down
788×prod-diff
692×log-prod
675×log1p-expm1-u
674×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
115254
2187054
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(expm1.f64 x)
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (pow.f64 (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1) (pow.f64 (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 1 1/3) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
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(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) -2) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))

simplify109.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1180×fma-neg
868×log-prod
620×cube-prod
544×associate-*r*
544×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04757647
111297330
238877258
Stop Event
1×node limit
Counts
222 → 257
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
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)))))
(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))))
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (pow.f64 (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1) (pow.f64 (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(*.f64 (pow.f64 1 1/3) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))
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(*.f64 (pow.f64 1 1/3) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) -2) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 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 (pow.f64 x 4) 1/12)))
(+.f64 x (fma.f64 (pow.f64 x 4) 1/12 (*.f64 (pow.f64 x 2) -1/2)))
(+.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 (pow.f64 x 4) 1/12))))
(+.f64 x (fma.f64 (pow.f64 x 2) -1/2 (fma.f64 (pow.f64 x 4) 1/12 (*.f64 -1/45 (pow.f64 x 6)))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 (pow.f64 x 4) 1/12 (*.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.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) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(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 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (log.f64 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 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)) x))
(+.f64 (-.f64 (log.f64 2) x) (fma.f64 1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/12)))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) 1))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
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(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
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(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (pow.f64 (exp.f64 x) -2) 1))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 1/3))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))

eval120.0ms (2.5%)

Compiler

Compiled 4630 to 3587 computations (22.5% saved)

prune43.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2570257
Fresh022
Picked022
Done033
Total2577264
Accuracy
100.0%
Counts
264 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓4.6%
(-.f64 1 1)
✓52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓76.2%
(expm1.f64 x)
54.3%
x
26.5%
-1
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓4.6%
(-.f64 1 1)
✓52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓76.2%
(expm1.f64 x)
54.3%
x
26.5%
-1
Compiler

Compiled 94 to 82 computations (12.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.9%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓4.6%
(-.f64 1 1)
✓52.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓51.9%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓76.2%
(expm1.f64 x)
54.3%
x
26.5%
-1
Compiler

Compiled 100 to 86 computations (14% saved)

regimes48.0ms (1%)

Counts
9 → 2
Calls
Call 1
Inputs
-1
x
(-.f64 1 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(expm1.f64 x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 x)
Calls

7 calls:

13.0ms
(*.f64 -2 x)
10.0ms
x
8.0ms
y
4.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
AccuracySegmentsBranch
99.2%2x
76.2%1y
99.2%2(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
99.2%2(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
99.2%2(+.f64 1 (exp.f64 (*.f64 -2 x)))
99.2%2(exp.f64 (*.f64 -2 x))
99.2%2(*.f64 -2 x)
Compiler

Compiled 100 to 85 computations (15% saved)

regimes38.0ms (0.8%)

Counts
7 → 2
Calls
Call 1
Inputs
-1
x
(-.f64 1 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(expm1.f64 x)
(+.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)
(expm1.f64 x)
Calls

6 calls:

12.0ms
(*.f64 -2 x)
9.0ms
x
5.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
4.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms
(exp.f64 (*.f64 -2 x))
Results
AccuracySegmentsBranch
99.2%2x
99.2%2(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
99.2%2(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
99.2%2(+.f64 1 (exp.f64 (*.f64 -2 x)))
99.2%2(exp.f64 (*.f64 -2 x))
99.2%2(*.f64 -2 x)
Compiler

Compiled 79 to 67 computations (15.2% saved)

regimes12.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
x
(-.f64 1 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(expm1.f64 x)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
Outputs
(expm1.f64 x)
Calls

2 calls:

6.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
76.2%1y
76.2%1x
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes12.0ms (0.3%)

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

2 calls:

7.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
77.0%2x
54.3%1y
Compiler

Compiled 22 to 18 computations (18.2% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

5.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
26.5%1y
26.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.773565970606187
-3.44712762960877e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.773565970606187
-3.44712762960877e-19
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
-9.040720517245607
-0.7573873412597301
Results
10.0ms96×body256valid
Compiler

Compiled 65 to 57 computations (12.3% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
8×sub-neg
6×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031142
139142
245142
352142
453142
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -4) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (expm1.f64 x))
(if (<=.f64 (*.f64 -2 x) -4) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (expm1.f64 x))
(expm1.f64 x)
(if (<=.f64 x -1) -1 x)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -4) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (expm1.f64 x))
(if (<=.f64 (*.f64 -2 x) -4) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (expm1.f64 x))
(if (<=.f64 (*.f64 -2 x) -4) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (expm1.f64 x))
(if (<=.f64 (*.f64 -2 x) -4) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (expm1.f64 x))
(expm1.f64 x)
(if (<=.f64 x -1) -1 x)
-1
Compiler

Compiled 54 to 45 computations (16.7% saved)

soundness526.0ms (11%)

Rules
1326×fma-def
1326×fma-def
1034×log1p-expm1-u
814×fma-neg
814×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
115778
2209178
03265923
17015707
218495547
358795547
023151
1327139
24423139
03265923
17015707
218495547
358795547
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 229 to 209 computations (8.7% saved)

end0.0ms (0%)

preprocess60.0ms (1.2%)

Remove

(abs y)

Compiler

Compiled 230 to 188 computations (18.3% saved)

Profiling

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