Logistic function from Lakshay Garg

Time bar (total: 8.9s)

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 (16%)

Results
664.0ms2082×body1024valid
538.0ms5087×body256valid
183.0ms976×body512valid
37.0ms111×body2048valid
Bogosity

preprocess178.0ms (2%)

Algorithm
1×egg-herbie
Rules
1060×fma-def
982×associate-*l/
668×unswap-sqr
598×sub-neg
572×div-sub
Problems
144×No Errors
112×(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
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
▶59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 24 to 22 computations (8.3% saved)

localize97.0ms (1.1%)

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))))
✓59.8%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 38 to 32 computations (15.8% saved)

series4.0ms (0%)

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))))

rewrite127.0ms (1.4%)

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)

simplify101.0ms (1.1%)

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))

eval95.0ms (1.1%)

Compiler

Compiled 3632 to 3145 computations (13.4% saved)

prune41.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2176223
Fresh000
Picked011
Done000
Total2177224
Accuracy
100.0%
Counts
224 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.8%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
▶44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
▶44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
46.6%
x
▶31.8%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
▶44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
▶44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
46.6%
x
Compiler

Compiled 278 to 242 computations (12.9% saved)

localize3.1s (35.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (exp.f64 -2) x)
✓100.0%
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
✓99.9%
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
✓59.8%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
✓99.9%
(*.f64 2/15 (pow.f64 x 5))
✓99.9%
(*.f64 -1/3 (pow.f64 x 3))
✓85.7%
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
✓99.9%
(*.f64 -1/3 (pow.f64 x 3))
✓100.0%
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓59.8%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓100.0%
(pow.f64 (exp.f64 x) -2)
✓100.0%
(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓59.8%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 187 to 150 computations (19.8% saved)

series73.0ms (0.8%)

Counts
13 → 111
Calls

39 calls:

TimeVariablePointExpression
44.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
16.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
3.0ms
x
@inf
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
2.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)

rewrite185.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
846×expm1-udef
320×associate-*r*
253×log1p-expm1-u
253×expm1-log1p-u
239×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034319
1568281
27867281
Stop Event
1×node limit
Counts
13 → 378
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(pow.f64 (exp.f64 x) -2)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (exp.f64 -2) x)
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log1p.f64 1) (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 (log1p.f64 1) (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 (log1p.f64 1) (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 0 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)
(neg.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))
(log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
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(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 -4) x)) (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 -4) x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) -1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (exp.f64 x) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (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))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -4)) x) (pow.f64 (cbrt.f64 (exp.f64 -2)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -2)) x) (pow.f64 (sqrt.f64 (exp.f64 -2)) x))
(sqrt.f64 (pow.f64 (exp.f64 -4) x))
(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 (exp.f64 x) -6))
(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)))

simplify199.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
836×log-prod
752×fma-def
580×exp-prod
456×associate-*r*
404×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076019019
1174517788
2626117786
Stop Event
1×node limit
Counts
489 → 484
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)))))
(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))))
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))
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 -1/3 (pow.f64 x 3))
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
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)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
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)))))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(exp.f64 (*.f64 -2 x))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log1p.f64 1) (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 (log1p.f64 1) (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 (log1p.f64 1) (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 0 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)
(neg.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 -4) x)) (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 -4) x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) -1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (exp.f64 x) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (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))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -4)) x) (pow.f64 (cbrt.f64 (exp.f64 -2)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -2)) x) (pow.f64 (sqrt.f64 (exp.f64 -2)) x))
(sqrt.f64 (pow.f64 (exp.f64 -4) x))
(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 (exp.f64 x) -6))
(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)))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 -1/45 (pow.f64 x 6))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.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)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) 1/2) x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (pow.f64 x 4) -1/12 (*.f64 (pow.f64 x 2) 1/2)) x))
(log.f64 (+.f64 1 (/.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))
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 (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 (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)
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 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(+.f64 (fma.f64 x x x) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 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 (fma.f64 x x x) (+.f64 (pow.f64 x 3) 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 2/15 (pow.f64 x 5))
(*.f64 2/15 (pow.f64 x 5))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 2/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 (pow.f64 x 3) -1/3 x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 3) -1/3))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 x 1) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3)) 1))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
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(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1)
(+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 0)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 -1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))) (/.f64 -1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 1 (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 -1 (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 1))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1) (-.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 -4) x)) (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 -4) x) (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 -4) x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 -4) x))))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)) 1/3)
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(fabs.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x))))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))))) (+.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1))
(fma.f64 (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (hypot.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) -1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(*.f64 1 (pow.f64 (exp.f64 x) -2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(*.f64 (pow.f64 (exp.f64 x) -2) 1)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))
(*.f64 (/.f64 1 (exp.f64 x)) (/.f64 1 (exp.f64 x)))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(*.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))
(pow.f64 (sqrt.f64 (exp.f64 x)) -4)
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) -2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -4)) x) (pow.f64 (cbrt.f64 (exp.f64 -2)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -2)) x) (pow.f64 (sqrt.f64 (exp.f64 -2)) x))
(pow.f64 (sqrt.f64 (exp.f64 -2)) (*.f64 x 2))
(sqrt.f64 (pow.f64 (exp.f64 -4) x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(cbrt.f64 (pow.f64 (exp.f64 x) -6))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(exp.f64 (*.f64 x -2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) -2)))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 x) -2)

eval209.0ms (2.3%)

Compiler

Compiled 8860 to 7356 computations (17% saved)

prune88.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4943497
Fresh011
Picked325
Done011
Total4977504
Accuracy
100.0%
Counts
504 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
✓44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
✓44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
46.6%
x
30.4%
-1
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
✓44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
✓44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
46.6%
x
30.4%
-1
Compiler

Compiled 138 to 120 computations (13% saved)

localize674.0ms (7.5%)

Localize:

Found 6 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))))
✓99.9%
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
✓59.8%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
✓100.0%
(log1p.f64 (exp.f64 (*.f64 x -2)))
✓59.8%
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
Compiler

Compiled 98 to 84 computations (14.3% saved)

series41.0ms (0.5%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
12.0ms
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
@inf
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
0.0ms
x
@0
(log1p.f64 (exp.f64 (*.f64 x -2)))

rewrite114.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1886×prod-diff
737×log1p-expm1-u
436×expm1-udef
434×log1p-udef
150×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021122
1328104
24283104
Stop Event
1×node limit
Counts
4 → 174
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
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(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -2)
(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)
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 0)
(+.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(+.f64 -1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 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 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (pow.f64 (exp.f64 x) -2))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (neg.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 -2 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1))))
(/.f64 -1 (neg.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (-.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (/.f64 2 (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 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 x) -2)) 1/2) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)

simplify115.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1480×fma-neg
1396×unswap-sqr
658×times-frac
522×fma-def
496×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04299287
110068897
236458777
Stop Event
1×node limit
Counts
222 → 260
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
x
(+.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)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log1p.f64 1) (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 (log1p.f64 1) (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 (log1p.f64 1) (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 (-.f64 (log1p.f64 1) (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 (log1p.f64 1) (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 0 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))) (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (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 (fma.f64 (log1p.f64 1) 1 (neg.f64 (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 (fma.f64 (log1p.f64 1) 1 (neg.f64 (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 (fma.f64 (log1p.f64 1) 1 (neg.f64 (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 (fma.f64 (log1p.f64 1) 1 (neg.f64 (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 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (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 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (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))))
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(*.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 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (pow.f64 (exp.f64 x) -2))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (neg.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(/.f64 -2 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1))))
(/.f64 -1 (neg.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (-.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (/.f64 2 (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 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 x) -2)) 1/2) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
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 (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 (pow.f64 x 2) 1/2)))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) 1/2) x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 4) -1/12)) x))
(-.f64 (+.f64 (log.f64 2) (fma.f64 (pow.f64 x 4) -1/12 (*.f64 (pow.f64 x 2) 1/2))) x)
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(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))
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) (*.f64 -17/315 (pow.f64 x 7))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.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 x) -2))))
(-.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 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.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 x) -2))))
(-.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 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.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 x) -2))))
(-.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 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.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 x) -2))))
(-.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 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
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(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 -1 (neg.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (-.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) -1) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) -1) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))) 2)) (+.f64 2 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (/.f64 2 (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2)))

eval175.0ms (2%)

Compiler

Compiled 7652 to 6475 computations (15.4% saved)

prune68.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3991400
Fresh022
Picked022
Done033
Total3998407
Accuracy
100.0%
Counts
407 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
▶6.3%
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
✓44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
✓44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
46.6%
x
30.4%
-1
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
▶6.3%
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
✓44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
✓44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
46.6%
x
30.4%
-1
Compiler

Compiled 160 to 140 computations (12.5% saved)

localize53.0ms (0.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 1 (+.f64 x 1))
✓100.0%
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
✓59.8%
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
0.0ms
x
@-inf
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
0.0ms
x
@0
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
0.0ms
x
@inf
(+.f64 1 (+.f64 x 1))
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x 1)) 1)

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1056×prod-diff
994×fma-def
659×log1p-expm1-u
659×expm1-log1p-u
442×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01060
115424
2252324
Stop Event
1×node limit
Counts
3 → 243
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
(-.f64 (+.f64 1 (+.f64 x 1)) 1)
(+.f64 1 (+.f64 x 1))
Outputs
(+.f64 1 (+.f64 x -1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 (+.f64 x 2) -2)
(+.f64 0 x)
(+.f64 -1 (+.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) 8) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 4 (*.f64 (+.f64 x 2) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) 4) (+.f64 (+.f64 x 2) 2))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 1 (+.f64 x 2) -2)
(fma.f64 x 1 0)
(fma.f64 (+.f64 1 x) 1 -1)
(fma.f64 (+.f64 x 2) 1 -2)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) -2)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) -2)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) -2)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 0)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 x (log.f64 (exp.f64 1)))
(+.f64 (+.f64 1 x) 0)
(+.f64 (+.f64 x 2) -1)
(+.f64 (+.f64 x 2) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 1 x))
(+.f64 -1 (+.f64 x 2))
(+.f64 (log.f64 (exp.f64 1)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 x))
(*.f64 (+.f64 1 x) 1)
(*.f64 (+.f64 1 x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 x 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 2) 2) -1)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (pow.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (+.f64 (pow.f64 (+.f64 x 2) 2) (-.f64 1 (*.f64 (+.f64 x 2) -1))))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (+.f64 1 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 x 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) 1) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) 1) (+.f64 1 (+.f64 x 2)))
(pow.f64 (+.f64 1 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 x 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 2) 2) -1)) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 x) 2))
(log.f64 (exp.f64 (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3))
(expm1.f64 (log.f64 (+.f64 x 2)))
(hypot.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (+.f64 1 x)))
(fma.f64 1 x 1)
(fma.f64 1 (+.f64 1 x) 0)
(fma.f64 1 (+.f64 x 2) -1)
(fma.f64 x 1 1)
(fma.f64 (+.f64 1 x) 1 0)
(fma.f64 (+.f64 x 2) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 1)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 0)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 1)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(-.f64 (+.f64 1 x) -1)
(-.f64 (+.f64 x 2) 0)
(-.f64 (+.f64 1 (+.f64 x 2)) 1)
(-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) 2) (neg.f64 x)))
(*.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) 1)
(*.f64 (+.f64 x 2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1))
(*.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 x) x 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) x 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) x)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (fma.f64 (+.f64 1 x) x 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) 1) (fma.f64 (+.f64 1 x) x 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (neg.f64 x))
(pow.f64 (+.f64 x 2) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1 x) x 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x 2) 2))
(log.f64 (exp.f64 (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2)))
(exp.f64 (log.f64 (+.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 2)))
(fma.f64 1 x 2)
(fma.f64 1 (+.f64 1 x) 1)
(fma.f64 1 (+.f64 x 2) 0)
(fma.f64 1 (+.f64 1 (+.f64 x 2)) -1)
(fma.f64 x 1 2)
(fma.f64 (+.f64 1 x) 1 1)
(fma.f64 (+.f64 x 2) 1 0)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 2)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 2)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 2)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) 1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) 1)
(fma.f64 (+.f64 1 (+.f64 x 2)) 1 -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x 2))) (cbrt.f64 (+.f64 1 (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (+.f64 x 2))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)

simplify85.0ms (1%)

Algorithm
1×egg-herbie
Rules
1136×unswap-sqr
648×distribute-lft-neg-in
648×distribute-rgt-neg-in
566×div-sub
416×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04105671
18435307
230925287
Stop Event
1×node limit
Counts
279 → 313
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
2
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
(+.f64 1 (+.f64 x -1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
(+.f64 (+.f64 x 2) -2)
(+.f64 0 x)
(+.f64 -1 (+.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) 8) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 4 (*.f64 (+.f64 x 2) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) 4) (+.f64 (+.f64 x 2) 2))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 1 (+.f64 x 2) -2)
(fma.f64 x 1 0)
(fma.f64 (+.f64 1 x) 1 -1)
(fma.f64 (+.f64 x 2) 1 -2)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) -2)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) -2)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) -2)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 0)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 x (log.f64 (exp.f64 1)))
(+.f64 (+.f64 1 x) 0)
(+.f64 (+.f64 x 2) -1)
(+.f64 (+.f64 x 2) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 1 x))
(+.f64 -1 (+.f64 x 2))
(+.f64 (log.f64 (exp.f64 1)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 1 x))
(*.f64 (+.f64 1 x) 1)
(*.f64 (+.f64 1 x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))))
(*.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 x 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 2) 2) -1)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (pow.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (+.f64 (pow.f64 (+.f64 x 2) 2) (-.f64 1 (*.f64 (+.f64 x 2) -1))))
(/.f64 (fma.f64 x x -1) (+.f64 x -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (+.f64 1 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 x 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (neg.f64 (fma.f64 x x -1)) (neg.f64 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 x 2)) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) 1) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) 1) (+.f64 1 (+.f64 x 2)))
(pow.f64 (+.f64 1 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2))) (+.f64 (pow.f64 (+.f64 x 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 2) 2) -1)) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 x) 2))
(log.f64 (exp.f64 (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3))
(expm1.f64 (log.f64 (+.f64 x 2)))
(hypot.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) x)))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (+.f64 1 x)))
(exp.f64 (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (+.f64 1 x)))
(fma.f64 1 x 1)
(fma.f64 1 (+.f64 1 x) 0)
(fma.f64 1 (+.f64 x 2) -1)
(fma.f64 x 1 1)
(fma.f64 (+.f64 1 x) 1 0)
(fma.f64 (+.f64 x 2) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 1)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 0)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 1)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(-.f64 (+.f64 1 x) -1)
(-.f64 (+.f64 x 2) 0)
(-.f64 (+.f64 1 (+.f64 x 2)) 1)
(-.f64 (/.f64 1 (neg.f64 x)) (/.f64 (pow.f64 (+.f64 1 x) 2) (neg.f64 x)))
(*.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) 1)
(*.f64 (+.f64 x 2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1))
(*.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 x) x 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) x 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (-.f64 (pow.f64 (+.f64 1 x) 2) x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) x)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (fma.f64 (+.f64 1 x) x 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) 1) (fma.f64 (+.f64 1 x) x 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (neg.f64 x))
(pow.f64 (+.f64 x 2) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1 x) x 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 x 2) 2))
(log.f64 (exp.f64 (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2)))
(exp.f64 (log.f64 (+.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 2)))
(fma.f64 1 x 2)
(fma.f64 1 (+.f64 1 x) 1)
(fma.f64 1 (+.f64 x 2) 0)
(fma.f64 1 (+.f64 1 (+.f64 x 2)) -1)
(fma.f64 x 1 2)
(fma.f64 (+.f64 1 x) 1 1)
(fma.f64 (+.f64 x 2) 1 0)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 2)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 2)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) 1)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) 0)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) 0)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 2)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) 1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) 1)
(fma.f64 (+.f64 1 (+.f64 x 2)) 1 -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x 2))) (cbrt.f64 (+.f64 1 (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (+.f64 x 2))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 x)
(+.f64 x 1)
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 x)
(+.f64 x 2)
(+.f64 1 (+.f64 x -1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 (+.f64 1 x) (log.f64 (exp.f64 -1)))
x
(+.f64 (+.f64 x 2) -2)
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 x (log.f64 (exp.f64 1)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 x)))) (neg.f64 (+.f64 x 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) 8) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 4 (*.f64 (+.f64 x 2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -8) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 4 (*.f64 2 (+.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -8) (+.f64 (pow.f64 (+.f64 x 2) 2) (fma.f64 2 (+.f64 x 2) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -8) (+.f64 4 (*.f64 (+.f64 x 2) (+.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) 4) (+.f64 (+.f64 x 2) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -4) (+.f64 x 4))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (/.f64 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2)) (expm1.f64 (*.f64 (log1p.f64 x) 3))) -1)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(pow.f64 (/.f64 (+.f64 x 2) (expm1.f64 (*.f64 2 (log1p.f64 x)))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1/3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 1 (+.f64 x 2) -2)
x
(fma.f64 x 1 0)
x
(fma.f64 (+.f64 1 x) 1 -1)
x
(fma.f64 (+.f64 x 2) 1 -2)
x
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 0)
x
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -2)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) -2)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) -2)
x
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 0)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) -1)
x
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) -2)
x
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) -2)
x
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) -2)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1)) -2)
(+.f64 -2 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (+.f64 x 1) 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) -1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 3))))
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 3)))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 0)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) -1)
(+.f64 -1 (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) -2)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x)) -2)
(+.f64 -2 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) x))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) -1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 2)) (+.f64 1 (+.f64 x 2))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 2)) (+.f64 x 3)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) -1)
x
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 x 1)
(+.f64 x (log.f64 (exp.f64 1)))
(+.f64 x 1)
(+.f64 (+.f64 1 x) 0)
(+.f64 x 1)
(+.f64 (+.f64 x 2) -1)
(+.f64 x 1)
(+.f64 (+.f64 x 2) (log.f64 (exp.f64 -1)))
(+.f64 x 1)
(+.f64 0 (+.f64 1 x))
(+.f64 x 1)
(+.f64 -1 (+.f64 x 2))
(+.f64 x 1)
(+.f64 (log.f64 (exp.f64 1)) x)
(+.f64 x 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (+.f64 x 1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 x))
(+.f64 x 1)
(*.f64 (+.f64 1 x) 1)
(+.f64 x 1)
(*.f64 (+.f64 1 x) (log.f64 (exp.f64 1)))
(+.f64 x 1)
(*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(+.f64 x 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)))
(+.f64 x 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1))
(+.f64 x 1)
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(+.f64 x 1)
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 x 1)
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(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) 1) (neg.f64 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) x)
(pow.f64 (+.f64 x 2) 1)
(+.f64 x 2)
(pow.f64 (cbrt.f64 (+.f64 x 2)) 3)
(+.f64 x 2)
(pow.f64 (pow.f64 (+.f64 x 2) 3) 1/3)
(+.f64 x 2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 2)
(+.f64 x 2)
(pow.f64 (/.f64 (fma.f64 (+.f64 1 x) x 1) (+.f64 1 (pow.f64 (+.f64 1 x) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (+.f64 x 1) 1))
(pow.f64 (/.f64 (neg.f64 x) (-.f64 1 (pow.f64 (+.f64 1 x) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) x)
(sqrt.f64 (pow.f64 (+.f64 x 2) 2))
(+.f64 x 2)
(log.f64 (exp.f64 (+.f64 x 2)))
(+.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2))))
(+.f64 x 2)
(cbrt.f64 (pow.f64 (+.f64 x 2) 3))
(+.f64 x 2)
(expm1.f64 (log1p.f64 (+.f64 x 2)))
(+.f64 x 2)
(exp.f64 (log.f64 (+.f64 x 2)))
(+.f64 x 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 2))) 3))
(+.f64 x 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 2) 3)) 1/3))
(+.f64 x 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2))
(+.f64 x 2)
(log1p.f64 (expm1.f64 (+.f64 x 2)))
(+.f64 x 2)
(fma.f64 1 x 2)
(+.f64 x 2)
(fma.f64 1 (+.f64 1 x) 1)
(+.f64 x 2)
(fma.f64 1 (+.f64 x 2) 0)
(+.f64 x 2)
(fma.f64 1 (+.f64 1 (+.f64 x 2)) -1)
(+.f64 x 2)
(fma.f64 x 1 2)
(+.f64 x 2)
(fma.f64 (+.f64 1 x) 1 1)
(+.f64 x 2)
(fma.f64 (+.f64 x 2) 1 0)
(+.f64 x 2)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 2)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 2)
(+.f64 x 2)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 0)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) 0)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) 1) 0)
(+.f64 x 2)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) 1)
(+.f64 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) 1) 1)
(+.f64 x 2)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2)
(+.f64 x 2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 2)
(+.f64 x 2)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) 1)
(+.f64 x 2)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) 1) 1)
(+.f64 x 2)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) 0)
(+.f64 x 2)
(fma.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) 1) 0)
(+.f64 x 2)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) 1)
(+.f64 1 (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (fma.f64 (+.f64 1 x) x 1)) 0)
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 x (+.f64 x 1) 1))
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 1 (+.f64 x 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 3))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 3)) (+.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 3)))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 1 x) 2))) 2)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2)))) 2)
(+.f64 2 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(+.f64 2 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2)))))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (neg.f64 x)) 0)
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (neg.f64 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 2)) x)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2))) 1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 2)) (+.f64 1 (+.f64 x 2))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2) 2)) (+.f64 x 3)))
(fma.f64 (+.f64 1 (+.f64 x 2)) 1 -1)
(+.f64 x 2)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (/.f64 1 (+.f64 x 2)) 2)
(+.f64 2 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 x))) (+.f64 x 2)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 x 2))) (cbrt.f64 (+.f64 1 (+.f64 x 2)))) (cbrt.f64 (+.f64 1 (+.f64 x 2))) -1)
(+.f64 x 2)
(fma.f64 (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) (hypot.f64 1 (sqrt.f64 (+.f64 x 2))) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) 1) (-.f64 (sqrt.f64 (+.f64 x 2)) 1) 1)
(+.f64 x 2)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))) (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2)

eval101.0ms (1.1%)

Compiler

Compiled 3998 to 3241 computations (18.9% saved)

prune54.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3121313
Fresh022
Picked101
Done055
Total3138321
Accuracy
100.0%
Counts
321 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓59.7%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.6%
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
6.3%
(+.f64 (+.f64 x 2) -2)
✓44.7%
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
✓44.2%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓59.8%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
46.6%
x
30.4%
-1
Compiler

Compiled 179 to 155 computations (13.4% saved)

regimes109.0ms (1.2%)

Counts
12 → 3
Calls
Call 1
Inputs
-1
x
(+.f64 (+.f64 x 2) -2)
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 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)))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

7 calls:

43.0ms
y
19.0ms
(*.f64 -2 x)
19.0ms
x
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
5.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
AccuracySegmentsBranch
100.0%3x
68.3%7y
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 150 to 129 computations (14% saved)

regimes127.0ms (1.4%)

Counts
10 → 3
Calls
Call 1
Inputs
-1
x
(+.f64 (+.f64 x 2) -2)
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) 1)
Outputs
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

73.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
18.0ms
x
17.0ms
(*.f64 -2 x)
5.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms
(exp.f64 (*.f64 -2 x))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 129 to 111 computations (14% saved)

regimes133.0ms (1.5%)

Counts
8 → 3
Calls
Call 1
Inputs
-1
x
(+.f64 (+.f64 x 2) -2)
(-.f64 (-.f64 (+.f64 1 (+.f64 x 1)) 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
Outputs
(-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1)
x
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Calls

6 calls:

82.0ms
x
14.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
14.0ms
(*.f64 -2 x)
10.0ms
(exp.f64 (*.f64 -2 x))
5.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 102 to 88 computations (13.7% saved)

regimes58.0ms (0.6%)

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

6 calls:

20.0ms
(*.f64 -2 x)
13.0ms
x
7.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
5.0ms
(exp.f64 (*.f64 -2 x))
Results
AccuracySegmentsBranch
100.0%3x
100.0%3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
100.0%3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
100.0%3(+.f64 1 (exp.f64 (*.f64 -2 x)))
100.0%3(exp.f64 (*.f64 -2 x))
100.0%3(*.f64 -2 x)
Compiler

Compiled 88 to 75 computations (14.8% saved)

regimes26.0ms (0.3%)

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

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
73.5%2x
Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
30.4%1y
30.4%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.002480775511301396
15.914500505568029
0.0ms
-0.7325839596253485
-7.160716861826725e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.002480775511301396
15.914500505568029
0.0ms
-0.7325839596253485
-7.160716861826725e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.421234203889055e-10
0.002480775511301396
0.0ms
-0.7325839596253485
-7.160716861826725e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.421234203889055e-10
0.002480775511301396
0.0ms
-0.7325839596253485
-7.160716861826725e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
-7.957250252784014
-0.001240387755650698
Results
27.0ms128×body256valid
Compiler

Compiled 81 to 71 computations (12.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
12×sub-neg
10×*-commutative
4×mul-1-neg
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051517
171517
279517
387517
488517
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -1/2) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1) (if (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408) x (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408) x (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 x -1) -1 x)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -1/2) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (+.f64 (+.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1) -1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/288230376151711744) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1) 1) (if (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408) x (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (+.f64 (+.f64 (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1) -1) (if (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408) x (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)))
(if (<=.f64 (*.f64 -2 x) -1/2) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408) x (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
(if (or (<=.f64 (*.f64 -2 x) -1/2) (not (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408))) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) x)
(if (or (<=.f64 (*.f64 -2 x) -1/2) (not (<=.f64 (*.f64 -2 x) 4835703278458517/9671406556917033397649408))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) x)
(if (<=.f64 x -1) -1 x)
-1
Compiler

Compiled 173 to 148 computations (14.5% saved)

soundness747.0ms (8.4%)

Rules
1326×fma-def
1326×fma-def
846×expm1-udef
814×fma-neg
814×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
115778
2209178
03265923
17015707
218495547
358795547
034319
1568281
27867281
03265923
17015707
218495547
358795547
01478
115778
2209178
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 341 to 313 computations (8.2% saved)

end0.0ms (0%)

preprocess158.0ms (1.8%)

Remove

(abs y)

Compiler

Compiled 534 to 454 computations (15% saved)

Profiling

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