Logistic function from Lakshay Garg

Time bar (total: 9.8s)

analyze0.0ms (0%)

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

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (15.5%)

Results
528.0ms5010×256valid
653.0ms2082×1024valid
195.0ms1036×512valid
133.0ms128×2048valid
Bogosity

preprocess344.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1060×fma-def
974×associate-*l/
668×unswap-sqr
594×sub-neg
568×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-1(0.030458994160880215 1.842301767649297e+289)(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
00-0-x
00-0-(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
00-0-(*.f64 -2 x)
00-0-(exp.f64 (*.f64 -2 x))
00-0-(+.f64 1 (exp.f64 (*.f64 -2 x)))
00-0-2
00-0--2
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029240
156232
2107224
3186224
4312224
5707224
62267224
74453224
87003224
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 (exp.f64 (*.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 (exp.f64 (*.f64 -2 x)))) -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 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 (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 (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 2) x))))
(+.f64 1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(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 (exp.f64 (*.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 88 to 75 computations (14.8% 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
▶54.6%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize117.0ms (1.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓100.0%
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓54.6%
(-.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)
1.0ms
x
@inf
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.0ms
x
@-inf
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite206.0ms (2.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
116078
2209478
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 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 (+.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 (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))))) (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) (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 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 (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 (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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
(pow.f64 (/.f64 (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))))) (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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 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 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (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 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3) 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 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (pow.f64 (exp.f64 -2) x) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 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 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (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 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)

simplify130.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1328×fma-def
802×fma-neg
772×unswap-sqr
640×distribute-lft-in
604×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03245808
17005604
219395444
374765444
Stop Event
1×node limit
Counts
155 → 216
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 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 (+.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 (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))))) (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) (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 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 (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 (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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
(pow.f64 (/.f64 (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))))) (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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(fma.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 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 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (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 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3) 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 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (pow.f64 (exp.f64 -2) x) 1)
(fma.f64 (pow.f64 (exp.f64 -2) x) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 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 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2)
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (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 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -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 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) (*.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 (fma.f64 x -2 2) (*.f64 2 (pow.f64 x 2)))
(fma.f64 x -2 (fma.f64 2 (pow.f64 x 2) 2))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -4/3 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -4/3 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -2 2) (fma.f64 (pow.f64 x 3) -4/3 (*.f64 2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x (+.f64 (*.f64 x 2) -2))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 x 1) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (+.f64 (*.f64 2/15 (pow.f64 x 5)) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (log.f64 (exp.f64 -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.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 -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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.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 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) 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 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (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 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.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 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.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 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 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 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 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -8 1) (+.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -4 -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 (+.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 (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))))) (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 (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 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 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -8 1) (+.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -4 -1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.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 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 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 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1) (/.f64 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 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 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -8 1) (+.f64 (fma.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -2) -4 -1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
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(/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1 -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))

eval95.0ms (1%)

Compiler

Compiled 3499 to 3056 computations (12.7% saved)

prune34.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2106216
Fresh000
Picked011
Done000
Total2107217
Accuracy
100.0%
Counts
217 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
▶28.6%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓54.6%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶6.5%
(-.f64 (+.f64 x 1) 1)
▶49.5%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶54.6%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
▶51.8%
x
Compiler

Compiled 124 to 109 computations (12.1% saved)

localize1.8s (18.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓99.8%
(*.f64 -1/3 (pow.f64 x 3))
✓100.0%
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓54.6%
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓54.6%
(-.f64 (+.f64 x 1) 1)
✓100.0%
(pow.f64 (exp.f64 -2) x)
✓99.6%
(log1p.f64 (pow.f64 (exp.f64 -2) x))
✓54.6%
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
Compiler

Compiled 93 to 74 computations (20.4% saved)

series69.0ms (0.7%)

Counts
8 → 75
Calls

24 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
13.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
2.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
1.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -1/3 (pow.f64 x 3))

rewrite179.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
985×log1p-expm1-u
610×expm1-udef
608×log1p-udef
228×associate-*r*
181×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025161
1393143
25543143
Stop Event
1×node limit
Counts
8 → 223
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(pow.f64 (exp.f64 -2) x)
(-.f64 (+.f64 x 1) 1)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 -2) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(-.f64 (+.f64 (pow.f64 (exp.f64 -2) x) 1) 1)
(*.f64 (pow.f64 (exp.f64 -2) x) 1)
(*.f64 1 (pow.f64 (exp.f64 -2) x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -4) x)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) x)) (sqrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 -2) x))
(*.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 -2) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 -2) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (*.f64 -2 x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (pow.f64 x 2) (-.f64 0 (*.f64 x 0))))
(/.f64 (-.f64 (pow.f64 x 2) 0) (-.f64 x 0))
(pow.f64 x 1)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 -2 x 2)))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))
(*.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) -1) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 -2 x 2))))))
(*.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) -1) (/.f64 1 (+.f64 1 (/.f64 2 (fma.f64 -2 x 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 -2 x 2)))) (+.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (fma.f64 -2 x 2))) (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) -1)))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 -2 x 2)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) -1) (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) -1) (+.f64 1 (/.f64 2 (fma.f64 -2 x 2))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) -1) (-.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))
(/.f64 (neg.f64 (+.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) -1)) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) (+.f64 1 (/.f64 2 (fma.f64 -2 x 2))))))
(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)) -1)) (neg.f64 (+.f64 1 (/.f64 2 (fma.f64 -2 x 2)))))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))
(fma.f64 2 (/.f64 1 (fma.f64 -2 x 2)) -1)
(fma.f64 1 (/.f64 2 (fma.f64 -2 x 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) -1)
(-.f64 (+.f64 1 (/.f64 2 (fma.f64 -2 x 2))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -2 x 2)))
(*.f64 2 (*.f64 (/.f64 1 (fma.f64 -2 x 2)) 1))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))))
(*.f64 1 (/.f64 2 (fma.f64 -2 x 2)))
(*.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))
(*.f64 (/.f64 1 (fma.f64 -2 x 2)) 2)
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -8) 8)) (-.f64 (+.f64 4 (*.f64 (pow.f64 x 2) 4)) (*.f64 -4 x)))
(*.f64 (/.f64 2 (-.f64 4 (*.f64 (pow.f64 x 2) 4))) (+.f64 2 (*.f64 2 x)))
(pow.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 3)
(pow.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2)
(pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -2 x 2) 2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2)))))
(cbrt.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -2 x 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/9) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (/.f64 1 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(*.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9)) (/.f64 1 (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 1/3 (pow.f64 x 3))) (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (pow.f64 x 2) (*.f64 x (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9)) (+.f64 x (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))

simplify133.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
740×log-prod
728×div-sub
612×fma-def
466×associate-*r*
440×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05478455
112457993
252437993
Stop Event
1×node limit
Counts
298 → 334
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))))
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))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
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(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/12 (pow.f64 x 4) (*.f64 -1/45 (pow.f64 x 6))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (log.f64 2) (-.f64 (*.f64 (pow.f64 x 2) 1/2) x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/12 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 x (fma.f64 -1/12 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 (pow.f64 x 4) -1/12 (*.f64 (pow.f64 x 2) 1/2)) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
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))))
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
(exp.f64 (*.f64 -2 x))
(pow.f64 (exp.f64 -2) x)
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (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 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(+.f64 (fma.f64 x x (pow.f64 x 3)) (+.f64 (pow.f64 x 4) x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 (+.f64 x 1) (pow.f64 x 2))
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (fma.f64 x x (pow.f64 x 3)) 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 2)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(-.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 2)) (/.f64 1 (pow.f64 x 4)))))
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 0))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 0))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 0))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 1))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 1/9))) (neg.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 (pow.f64 x 3) -1/3 x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 (pow.f64 x 3) -1/3 x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 (pow.f64 x 3) -1/3 x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(fma.f64 (pow.f64 x 3) -1/3 x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(fma.f64 (pow.f64 x 3) -1/3 x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(fma.f64 (pow.f64 x 3) -1/3 x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 (pow.f64 x 3) -1/3 x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 (pow.f64 x 3) -1/3 x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -1/3 x)

eval121.0ms (1.2%)

Compiler

Compiled 4610 to 3901 computations (15.4% saved)

prune50.0ms (0.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New3286334
Fresh101
Picked235
Done011
Total33110341
Accuracy
100.0%
Counts
341 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.6%
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
▶51.5%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓54.6%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.5%
(-.f64 (+.f64 x 1) 1)
✓49.5%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.6%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
29.0%
(expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3))
▶54.6%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
✓51.8%
x
▶27.6%
-1
Compiler

Compiled 163 to 136 computations (16.6% saved)

localize669.0ms (6.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓89.0%
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
✓100.0%
(/.f64 1 (+.f64 x 2))
✓89.0%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓89.0%
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
✓99.6%
(log1p.f64 (exp.f64 (*.f64 -2 x)))
✓54.6%
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
Compiler

Compiled 115 to 84 computations (27% saved)

series20.0ms (0.2%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
6.0ms
x
@inf
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
0.0ms
x
@-inf
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.0ms
x
@0
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
0.0ms
x
@-inf
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))

rewrite156.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1170×prod-diff
852×log1p-expm1-u
477×expm1-log1p-u
428×expm1-udef
426×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021198
132084
2413084
Stop Event
1×node limit
Counts
7 → 297
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 -2 x)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (+.f64 x 2))
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 -2) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (+.f64 2 x) (/.f64 1 (/.f64 (+.f64 2 x) x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
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(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
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(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(/.f64 x 1)
(/.f64 (+.f64 2 x) (/.f64 (+.f64 2 x) x))
(/.f64 (*.f64 x (+.f64 2 x)) (+.f64 2 x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (neg.f64 (/.f64 -1 x)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (/.f64 (+.f64 2 x) x) (cbrt.f64 (+.f64 2 x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (/.f64 (+.f64 2 x) x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (+.f64 -2 (neg.f64 x)))
(/.f64 (+.f64 -2 (neg.f64 x)) (neg.f64 (/.f64 (+.f64 2 x) x)))
(/.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 (/.f64 (+.f64 2 x) x) (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(/.f64 (fma.f64 x x -4) (*.f64 (/.f64 (+.f64 2 x) x) (+.f64 x -2)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 -2 (neg.f64 x)))) (neg.f64 (+.f64 -2 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 2 x))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 2 x))) (+.f64 x -2))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 2 x) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(*.f64 1 (/.f64 1 x))
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(*.f64 (/.f64 1 x) 1)
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(*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (+.f64 2 x)) (/.f64 (cbrt.f64 (+.f64 2 x)) x))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) x) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) x))
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(*.f64 (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))) (+.f64 -2 (neg.f64 x)))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
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(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(neg.f64 (/.f64 (+.f64 2 x) (*.f64 x (+.f64 -2 (neg.f64 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (+.f64 2 x) (/.f64 1 (/.f64 (+.f64 2 x) x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
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(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
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(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))

simplify98.0ms (1%)

Algorithm
1×egg-herbie
Rules
1328×associate-*r*
1132×associate-*l*
858×times-frac
762×associate-/l*
644×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05017345
113156874
Stop Event
1×node limit
Counts
381 → 295
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
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 1))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (log1p.f64 1) 1 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 1 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (*.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(log.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1))
(log1p.f64 (-.f64 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)) 1))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))
(log.f64 (+.f64 (pow.f64 (exp.f64 -2) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (+.f64 2 x) (/.f64 1 (/.f64 (+.f64 2 x) x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(/.f64 x 1)
(/.f64 (+.f64 2 x) (/.f64 (+.f64 2 x) x))
(/.f64 (*.f64 x (+.f64 2 x)) (+.f64 2 x))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (neg.f64 (/.f64 -1 x)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 -1 (/.f64 -1 x))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (/.f64 (/.f64 (+.f64 2 x) x) (cbrt.f64 (+.f64 2 x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (/.f64 (+.f64 2 x) x) (sqrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (+.f64 -2 (neg.f64 x)))
(/.f64 (+.f64 -2 (neg.f64 x)) (neg.f64 (/.f64 (+.f64 2 x) x)))
(/.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 (/.f64 (+.f64 2 x) x) (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(/.f64 (fma.f64 x x -4) (*.f64 (/.f64 (+.f64 2 x) x) (+.f64 x -2)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) -1) (+.f64 -2 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (+.f64 -2 (neg.f64 x)))) (neg.f64 (+.f64 -2 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(/.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 x (+.f64 2 x))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 2 x))) (+.f64 x -2))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2)) (/.f64 1 (cbrt.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 (+.f64 2 x) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (+.f64 2 x) x))
(*.f64 (/.f64 1 x) 1)
(*.f64 -1 (/.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (/.f64 1 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x))))
(*.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) (+.f64 2 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (+.f64 2 x) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) x) (/.f64 (cbrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (+.f64 2 x)) (/.f64 (cbrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (/.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) x) (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (+.f64 2 x)) (/.f64 (sqrt.f64 (+.f64 2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 1) (/.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (/.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))) (+.f64 -2 (neg.f64 x)))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(neg.f64 (/.f64 (+.f64 2 x) (*.f64 x (+.f64 -2 (neg.f64 x)))))
(sqrt.f64 (/.f64 1 (pow.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (+.f64 2 x) (/.f64 1 (/.f64 (+.f64 2 x) x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 1 x)
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) -1))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) (*.f64 (cbrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 2 x)) (/.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (+.f64 2 x) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 (+.f64 2 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 x) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
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)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) (sqrt.f64 (+.f64 2 x))))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (+.f64 2 x)))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) (cbrt.f64 (+.f64 2 x))))
x
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) 1) (/.f64 1 (+.f64 2 x)))
x
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
x
(*.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))
x
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (*.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (cbrt.f64 (+.f64 x 2)))))
(*.f64 x (*.f64 (+.f64 x 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))))
(*.f64 (*.f64 (*.f64 x (+.f64 2 x)) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
x
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 2)) (cbrt.f64 (*.f64 x (+.f64 2 x))))
x
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (sqrt.f64 (*.f64 x (+.f64 2 x)))) (sqrt.f64 (*.f64 x (+.f64 2 x))))
x
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 x 3) 8) (+.f64 x 2))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(*.f64 (/.f64 (*.f64 x (+.f64 2 x)) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x 2))) (+.f64 x -2))
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 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
(neg.f64 (/.f64 (*.f64 x (+.f64 2 x)) (+.f64 -2 (neg.f64 x))))
x
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (+.f64 2 x) 3)))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(log1p.f64 (expm1.f64 x))
x

eval137.0ms (1.4%)

Compiler

Compiled 4503 to 3609 computations (19.9% saved)

prune49.0ms (0.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New2887295
Fresh011
Picked235
Done044
Total29015305
Accuracy
100.0%
Counts
305 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.5%
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
✓51.5%
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
▶51.7%
(/.f64 1 (/.f64 1 x))
51.5%
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) (+.f64 2 x)))
51.5%
(/.f64 1 (*.f64 (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))) (+.f64 -2 (neg.f64 x))))
✓54.6%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.5%
(-.f64 (+.f64 x 1) 1)
✓49.5%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
▶51.8%
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
4.6%
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 x))
▶49.3%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
▶29.0%
(expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3))
✓54.6%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
✓51.8%
x
✓27.6%
-1
Compiler

Compiled 270 to 219 computations (18.9% saved)

localize758.0ms (7.7%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 -2) x)
✓99.6%
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)
✓85.4%
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
✓78.6%
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
✓100.0%
(/.f64 1 (+.f64 2 x))
✓99.9%
(/.f64 (/.f64 1 x) (+.f64 2 x))
✓89.3%
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
✓100.0%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
✓99.9%
(/.f64 1 (/.f64 1 x))
✓100.0%
(/.f64 1 (+.f64 2 x))
✓99.9%
(*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x))
Compiler

Compiled 170 to 134 computations (21.2% saved)

series18.0ms (0.2%)

Counts
10 → 120
Calls

30 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
4.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
1.0ms
x
@inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
1.0ms
x
@0
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))

rewrite204.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
662×expm1-udef
662×log1p-udef
357×log1p-expm1-u
346×associate-*r*
324×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032196
1520192
26888192
Stop Event
1×node limit
Counts
10 → 339
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x))
(/.f64 1 (+.f64 2 x))
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 (/.f64 1 x) (+.f64 2 x))
(/.f64 1 (+.f64 2 x))
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)
Outputs
1
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(*.f64 -1 (/.f64 -1 (+.f64 2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 x 2))) (-.f64 2 x))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 2 x)) 2) (*.f64 (/.f64 x (+.f64 2 x)) x))
(+.f64 (*.f64 (/.f64 x (+.f64 2 x)) x) (*.f64 (/.f64 x (+.f64 2 x)) 2))
(+.f64 (*.f64 2 (/.f64 x (+.f64 2 x))) (*.f64 x (/.f64 x (+.f64 2 x))))
(+.f64 (*.f64 x (/.f64 x (+.f64 2 x))) (*.f64 2 (/.f64 x (+.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 x (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1 (+.f64 2 x))))
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (/.f64 -1 (+.f64 2 x)) (/.f64 1 (/.f64 (/.f64 -1 x) (+.f64 2 x))))
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (/.f64 1 (+.f64 2 x)) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) 1) (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (/.f64 1 (+.f64 2 x)) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 x)) (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)) (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x))))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x)))) (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 1 (+.f64 2 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x)))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)) (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x))))))
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) 1) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 -1 x)) (+.f64 -2 (neg.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(neg.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 -1 x) (+.f64 2 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))))
(+.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) 1) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) 3) (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) 1/2))) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) 1/2))) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) (+.f64 (*.f64 (pow.f64 x 3) -1/64) 1/8)) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 -1/8 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 x (fma.f64 x -1/4 1/2))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(/.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 2 x))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) 1/8) (*.f64 x (+.f64 2 x))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 -1/8 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 x (+.f64 2 x))) (+.f64 1/2 (*.f64 1/4 x)))
(pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)) (fma.f64 x -1/4 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
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(+.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))) (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) (log1p.f64 (exp.f64 (*.f64 x -2)))))
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(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
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(*.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
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(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) 1/3) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2) 1/3))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (log.f64 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))) (-.f64 (log.f64 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2))
(log.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 1))
(log1p.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (log.f64 2)) (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))))
(+.f64 (*.f64 (log.f64 2) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2))
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3) 1)
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2) 3) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3) (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) 1) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
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(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(exp.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))

simplify142.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1314×associate-*r*
1174×associate-*l*
590×fma-def
558×times-frac
460×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060315895
1164614793
Stop Event
1×node limit
Counts
459 → 394
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/4)
(-.f64 (+.f64 (*.f64 1/8 x) (*.f64 1/2 (/.f64 1 x))) 1/4)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 2)) (+.f64 (*.f64 1/8 x) (*.f64 1/2 (/.f64 1 x)))) 1/4)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
x
(+.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)))))
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)))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (*.f64 -3/2 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 5)) (pow.f64 x 3)))
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(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
1
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(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 x 2))) (-.f64 2 x))
(pow.f64 (+.f64 2 x) -1)
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
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(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
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(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 1 x)
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(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) 1) (*.f64 x (+.f64 2 x)))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 -1 x)) (+.f64 -2 (neg.f64 x)))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(neg.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 -1 x) (+.f64 2 x))))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))))
(+.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) 1) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) 3) (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) 1/2))) (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) 1/2))) (*.f64 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))))) (-.f64 (*.f64 x (*.f64 (+.f64 2 x) 1/2)) (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4)))))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) (+.f64 (*.f64 (pow.f64 x 3) -1/64) 1/8)) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 -1/8 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 2 x)) (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 x (fma.f64 x -1/4 1/2))) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(/.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 2 x))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) 1/8) (*.f64 x (+.f64 2 x))) (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 -1/8 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/16)) (*.f64 x (+.f64 2 x))) (+.f64 1/2 (*.f64 1/4 x)))
(pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)) (fma.f64 x -1/4 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 (*.f64 x (+.f64 2 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
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(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 2 x) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x (+.f64 2 x)) 1/2 (*.f64 x (*.f64 (+.f64 2 x) (*.f64 x -1/4))))
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(-.f64 (exp.f64 (log1p.f64 x)) 1)
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(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2))
(log.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 1))
(log1p.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (log.f64 2)) (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2))))))
(+.f64 (*.f64 (log.f64 2) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (*.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2))
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3) 1)
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3/2))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2) 3) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3) (pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) 1) (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) 3) (pow.f64 (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(exp.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(fma.f64 x -1/4 1/2)
(fma.f64 -1/4 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 -1/4 x 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -1/16 (pow.f64 x 3))) (fma.f64 -1/4 x 1/2))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 -2 (pow.f64 x -2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 -2 (pow.f64 x -2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/4 (pow.f64 x 3)))
(fma.f64 -1/4 (pow.f64 x 3) x)
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1/4)
(+.f64 (/.f64 1/2 x) -1/4)
(-.f64 (+.f64 (*.f64 1/8 x) (*.f64 1/2 (/.f64 1 x))) 1/4)
(+.f64 (fma.f64 1/8 x (/.f64 1/2 x)) -1/4)
(+.f64 (fma.f64 x 1/8 (/.f64 1/2 x)) -1/4)
(-.f64 (+.f64 (*.f64 -1/16 (pow.f64 x 2)) (+.f64 (*.f64 1/8 x) (*.f64 1/2 (/.f64 1 x)))) 1/4)
(+.f64 (fma.f64 -1/16 (pow.f64 x 2) (fma.f64 1/8 x (/.f64 1/2 x))) -1/4)
(+.f64 (fma.f64 (pow.f64 x 2) -1/16 (fma.f64 x 1/8 (/.f64 1/2 x))) -1/4)
(/.f64 1 (pow.f64 x 2))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5)))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3))) (/.f64 8 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(pow.f64 x -2)
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 5)))))
(+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 (+.f64 (pow.f64 x -2) (/.f64 -2 (pow.f64 x 3))) (/.f64 8 (pow.f64 x 5))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(fma.f64 x -1/4 1/2)
(fma.f64 -1/4 x 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 x -1/4 1/2) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 -1/4 x 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 -1/16 (pow.f64 x 3))) (fma.f64 -1/4 x 1/2))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 -2 (pow.f64 x -2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (*.f64 -2 (pow.f64 x -2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x -2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (fma.f64 2 (pow.f64 x -2) (/.f64 8 (pow.f64 x 4)))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 x (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.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 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 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 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 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 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 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 x) -2)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 x (fma.f64 (pow.f64 x 2) -1/2 (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/2 x) (fma.f64 -1/45 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/12)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.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 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 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 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 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
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(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.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 x) -2)))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 -3/2 (pow.f64 x 4) (pow.f64 x 3))
(fma.f64 (pow.f64 x 4) -3/2 (pow.f64 x 3))
(+.f64 (*.f64 -3/2 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 -3/2 (pow.f64 x 4) (fma.f64 3/4 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 4) -3/2 (fma.f64 (pow.f64 x 5) 3/4 (pow.f64 x 3)))
(+.f64 (*.f64 -3/2 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 6)) (+.f64 (*.f64 3/4 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 -3/2 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 6) (fma.f64 3/4 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 4) -3/2 (fma.f64 1/8 (pow.f64 x 6) (fma.f64 (pow.f64 x 5) 3/4 (pow.f64 x 3))))
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 3)
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
1
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(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
(*.f64 -1 (/.f64 -1 (+.f64 2 x)))
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
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(*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x x -4)))
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(pow.f64 (+.f64 2 x) -1)
(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(/.f64 1 (+.f64 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 x))) 1))
(/.f64 1 (+.f64 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 x))))
(/.f64 1 (+.f64 x 2))
(+.f64 (*.f64 (/.f64 x (+.f64 2 x)) 2) (*.f64 (/.f64 x (+.f64 2 x)) x))
x
(+.f64 (*.f64 (/.f64 x (+.f64 2 x)) x) (*.f64 (/.f64 x (+.f64 2 x)) 2))
x
(+.f64 (*.f64 2 (/.f64 x (+.f64 2 x))) (*.f64 x (/.f64 x (+.f64 2 x))))
x
(+.f64 (*.f64 x (/.f64 x (+.f64 2 x))) (*.f64 2 (/.f64 x (+.f64 2 x))))
x
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 x (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1 (+.f64 2 x))))
x
(*.f64 (+.f64 2 x) (/.f64 x (+.f64 2 x)))
x
(*.f64 (/.f64 1 (+.f64 2 x)) (*.f64 x (+.f64 2 x)))
x
(*.f64 (*.f64 x (+.f64 2 x)) (/.f64 1 (+.f64 2 x)))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (*.f64 x (+.f64 2 x))))
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(*.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 (+.f64 2 x) -1/2) (*.f64 (pow.f64 (+.f64 2 x) -1/2) (*.f64 x (+.f64 2 x))))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (/.f64 -1 (+.f64 2 x)) (/.f64 1 (/.f64 (/.f64 -1 x) (+.f64 2 x))))
x
(*.f64 (/.f64 x (+.f64 2 x)) (+.f64 2 x))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
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(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
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x
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 x)) (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 (+.f64 2 x))))
x
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)) (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x))))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)) (cbrt.f64 x))
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(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) 1) (+.f64 2 x))
x
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (+.f64 2 x)))
x
(*.f64 (*.f64 (/.f64 x (+.f64 2 x)) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (+.f64 2 x)))
x
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) 1) (*.f64 x (+.f64 2 x)))
x
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 -1 x)) (+.f64 -2 (neg.f64 x)))
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(*.f64 (/.f64 (neg.f64 x) (+.f64 x 2)) (-.f64 -2 x))
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
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x
(pow.f64 (sqrt.f64 x) 2)
x
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x
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x
(sqrt.f64 (pow.f64 x 2))
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x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
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x
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) (pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 3)))
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x
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x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(log1p.f64 (expm1.f64 x))
x
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(log1p.f64 (expm1.f64 x))
x
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x))) 1)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 1 (/.f64 (/.f64 1 (+.f64 2 x)) x))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1 x))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 2 x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 1)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 x 2)) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) (+.f64 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 2))))
(/.f64 (pow.f64 (+.f64 x 2) -1/2) (*.f64 x (sqrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 2 x))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x))))
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 2))) 2)
(*.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 2 x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x 2)) x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 2 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 x 2)) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2))) (+.f64 x 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 2 x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x 2)) x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 2 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2))) x)
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (+.f64 2 x) -1/2))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) (/.f64 1 (*.f64 (+.f64 (pow.f64 x 3) 8) x)))
(/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (*.f64 (+.f64 (pow.f64 x 3) 8) x))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) 8)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(*.f64 (+.f64 4 (*.f64 x (+.f64 x -2))) (/.f64 1 (*.f64 (+.f64 (pow.f64 x 3) 8) x)))
(/.f64 (fma.f64 x (+.f64 x -2) 4) (*.f64 (+.f64 (pow.f64 x 3) 8) x))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 1 (*.f64 (fma.f64 x x -4) x)))
(/.f64 (+.f64 x -2) (*.f64 (fma.f64 x x -4) x))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 4 (pow.f64 x 2))) (-.f64 2 x))
(*.f64 (-.f64 2 x) (/.f64 (/.f64 1 x) (-.f64 4 (pow.f64 x 2))))
(/.f64 (/.f64 (-.f64 2 x) x) (-.f64 4 (pow.f64 x 2)))
(pow.f64 (*.f64 x (+.f64 2 x)) -1)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 1)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 2 x)))) 3)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 3) 1/3)
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 2 x))) 2)
(pow.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x 2))) 2)
(neg.f64 (/.f64 (/.f64 1 x) (+.f64 -2 (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 1 x)) (-.f64 -2 x))
(/.f64 -1 (*.f64 (-.f64 -2 x) x))
(sqrt.f64 (*.f64 (pow.f64 x -2) (pow.f64 (+.f64 2 x) -2)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 2) -2) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x) 3))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 (+.f64 2 x)) 3)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 2 x) 3)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 2 x)))))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 2 x)))) 1))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 2 x)) x)))
(/.f64 1 (*.f64 x (+.f64 x 2)))
(/.f64 (/.f64 1 x) (+.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 x)))) 1)
(/.f64 1 (+.f64 x 2))
(*.f64 1 (/.f64 1 (+.f64 2 x)))
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 2 x)) 1)
(/.f64 1 (+.f64 x 2))
(*.f64 -1 (/.f64 -1 (+.f64 2 x)))
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (+.f64 2 x) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(/.f64 1 (+.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1) (pow.f64 (sqrt.f64 (+.f64 2 x)) -1))
(pow.f64 (sqrt.f64 (+.f64 x 2)) -2)
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (+.f64 (pow.f64 x 3) 8))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) 8)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (fma.f64 x (+.f64 x -2) 4) (+.f64 (pow.f64 x 3) 8))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x x -4)))
(/.f64 (+.f64 x -2) (fma.f64 x x -4))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 x 2))) (-.f64 2 x))
(/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2)))
(pow.f64 (+.f64 2 x) -1)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (+.f64 2 x)) 1)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 x))) 3)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3) 1/3)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)
(/.f64 1 (+.f64 x 2))
(sqrt.f64 (pow.f64 (+.f64 2 x) -2))
(sqrt.f64 (pow.f64 (+.f64 x 2) -2))
(fabs.f64 (/.f64 1 (+.f64 x 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 2 x))))
(/.f64 1 (+.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 x)))))
(/.f64 1 (+.f64 x 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 x)) 3))
(/.f64 1 (+.f64 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 x))))
(/.f64 1 (+.f64 x 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 2 x))))
(/.f64 1 (+.f64 x 2))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) -1))
(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
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(/.f64 1 (+.f64 x 2))
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(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 3)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(/.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (/.f64 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (exp.f64 (*.f64 x -2))) 2)) (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 2)) (+.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(/.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3))))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3) 3))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)) 1))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 3)))
(pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)

eval244.0ms (2.5%)

Compiler

Compiled 9136 to 7465 computations (18.3% saved)

prune377.0ms (3.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New4784482
Fresh303
Picked325
Done167
Total48512497
Accuracy
100.0%
Counts
497 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1/2 x))
49.2%
(/.f64 (+.f64 1/2 (*.f64 -1/4 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
✓51.7%
(/.f64 1 (/.f64 1 x))
✓54.6%
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓6.5%
(-.f64 (+.f64 x 1) 1)
✓49.5%
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
✓49.3%
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
29.0%
(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6) 1/6) 3) 1/3))
29.0%
(expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3))
✓54.6%
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
✓51.8%
x
✓27.6%
-1
Compiler

Compiled 364 to 301 computations (17.3% saved)

regimes303.0ms (3.1%)

Counts
24 → 3
Calls
Call 1
Inputs
-1
x
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (/.f64 1 x))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 x))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1/2 x))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 2 x)) (+.f64 2 x)) x)
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (+.f64 2 x)) (+.f64 2 x)))
(/.f64 (+.f64 1/2 (*.f64 -1/4 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 (/.f64 1 x) (+.f64 2 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))) (+.f64 -2 (neg.f64 x))))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3))
(expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3) 1/3))
(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6) 1/6) 3) 1/3))
Outputs
(expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6) 1/6) 3) 1/3))
(+.f64 x (*.f64 -1/3 (pow.f64 x 3)))
-1
Calls

7 calls:

181.0ms
y
44.0ms
(*.f64 -2 x)
37.0ms
x
19.0ms
(exp.f64 (*.f64 -2 x))
6.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Results
AccuracySegmentsBranch
100.0%3x
69.4%12y
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 47 to 40 computations (14.9% saved)

regimes120.0ms (1.2%)

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

6 calls:

54.0ms
x
36.0ms
(*.f64 -2 x)
8.0ms
(exp.f64 (*.f64 -2 x))
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms
(+.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 44 to 38 computations (13.6% saved)

regimes99.0ms (1%)

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

6 calls:

36.0ms
x
33.0ms
(*.f64 -2 x)
8.0ms
(exp.f64 (*.f64 -2 x))
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms
(+.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 44 to 38 computations (13.6% saved)

regimes90.0ms (0.9%)

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

6 calls:

31.0ms
(*.f64 -2 x)
31.0ms
x
8.0ms
(exp.f64 (*.f64 -2 x))
8.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms
(+.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 44 to 38 computations (13.6% saved)

regimes22.0ms (0.2%)

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

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
78.5%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
75.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (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
x
3.0ms
y
Results
AccuracySegmentsBranch
27.6%1y
27.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.7276255494681306e-5
1791.7422513006304
0.0ms
-0.06091798832176043
-1.089702153977517e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.7276255494681306e-5
1791.7422513006304
0.0ms
-0.06091798832176043
-1.089702153977517e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.7276255494681306e-5
1791.7422513006304
0.0ms
-0.06091798832176043
-1.089702153977517e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.7276255494681306e-5
1791.7422513006304
0.0ms
-0.06091798832176043
-1.089702153977517e-9
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-895.8711256503152
-2.3638127747340653e-5
Results
19.0ms144×256valid
Compiler

Compiled 161 to 141 computations (12.4% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-895.8711256503152
-2.3638127747340653e-5
Results
19.0ms144×256valid
Compiler

Compiled 89 to 78 computations (12.4% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0638589934840
1808589934840
2878589934840
3948589934840
4958589934840
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6) 1/6) 3) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1/2 x)))
(if (<=.f64 x -1) -1 x)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))) 6) 1/6) 3) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 6) 1/6) 3) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))) 3) 1/3)) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 (*.f64 -2 x) -3602879701896397/72057594037927936) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (if (<=.f64 (*.f64 -2 x) 7378697629483821/147573952589676412928) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (/.f64 (/.f64 1 (+.f64 2 x)) (/.f64 1/2 x)))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (/.f64 (/.f64 1 (+.f64 x 2)) (/.f64 1/2 x)))
(if (<=.f64 x -1) -1 x)
-1
Compiler

Compiled 164 to 139 computations (15.2% saved)

soundness1.3s (13.1%)

Rules
1328×fma-def
1328×fma-def
1170×prod-diff
985×log1p-expm1-u
985×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
116078
2209478
025161
1393143
25543143
032196
1520192
26888192
03245808
17005604
219395444
374765444
03245808
17005604
219395444
374765444
025161
1393143
25543143
021198
132084
2413084
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 800 to 703 computations (12.1% saved)

end0.0ms (0%)

preprocess123.0ms (1.3%)

Remove

(abs y)

Compiler

Compiled 484 to 412 computations (14.9% saved)

Profiling

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