Details

Time bar (total: 9.9s)

analyze0.0ms (0%)

Algorithm
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)

sample2.0s (20.6%)

Results
1.2s2107×body1024valid
525.0ms4956×body256valid
189.0ms995×body512valid
85.0ms198×body2048valid
Bogosity

preprocess57.0ms (0.6%)

Algorithm
egg-herbie
Rules
868×unswap-sqr_binary64
382×associate-*l*_binary64
378×fma-def_binary64
314×associate-/l/_binary64
290×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12930
24130
35830
410330
522630
659930
7190130
8496930
9639430
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.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 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Rules
981×times-frac_binary64
942×fma-neg_binary64
434×unswap-sqr_binary64
363×associate-*l/_binary64
344×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 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 x -1/2)))) -1)

eval1.0ms (0%)

Compiler

Compiled 32 to 29 computations (9.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
30.1b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
3.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series15.0ms (0.1%)

Counts
3 → 0
Calls

9 calls:

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

Compiled 1005 to 855 computations (14.9% saved)

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
426×log-prod_binary64
329×exp-prod_binary64
259×prod-diff_binary64
252×pow2_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121736
2272036
Stop Event
node limit
Counts
3 → 146
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
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(+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)))))

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Rules
540×fma-def_binary64
501×fma-neg_binary64
379×exp-prod_binary64
324×unswap-sqr_binary64
265×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03132833
16772708
219332704
371052704
Stop Event
node limit
Counts
146 → 174
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.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 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(/.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 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1) 1))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 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 x) -2))) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (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 x) -2)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.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 x) -2) (expm1.f64 (*.f64 -2 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (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 x) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (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 x) -2))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) -2)) (expm1.f64 (*.f64 -2 x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 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 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 1/2)) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
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(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))

eval63.0ms (0.6%)

Compiler

Compiled 2934 to 2403 computations (18.1% saved)

prune34.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1668174
Fresh000
Picked011
Done000
Total1669175
Error
29.5b
Counts
175 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
42.6b
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
30.1b
(/.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)))))
30.5b
(-.f64 (/.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)) 1)
30.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.6b
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
31.1b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
30.1b
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
30.1b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
30.1b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
Compiler

Compiled 268 to 241 computations (10.1% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
0.0b
(pow.f64 (exp.f64 x) -2)
3.1b
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
3.1b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 56 to 42 computations (25% saved)

series84.0ms (0.8%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
42.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
13.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
2.0ms
x
@0
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
0.0ms
x
@inf
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
Compiler

Compiled 2685 to 2210 computations (17.7% saved)

rewrite80.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
442×log-prod_binary64
408×prod-diff_binary64
344×exp-prod_binary64
269×prod-exp_binary64
260×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
122451
2254051
Stop Event
node limit
Counts
4 → 201
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (exp.f64 x) -2)
(exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
Outputs
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simplify90.0ms (0.9%)

Algorithm
egg-herbie
Rules
383×associate-/l*_binary64
331×sqr-pow_binary64
284×log-prod_binary64
269×exp-prod_binary64
266×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04074285
19694186
231454180
Stop Event
node limit
Counts
201 → 242
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 0 (pow.f64 (exp.f64 x) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (exp.f64 x) -2) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (exp.f64 (*.f64 x -4))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(sqrt.f64 (exp.f64 (*.f64 x -4)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (exp.f64 x) -6))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 x -2))
(exp.f64 (*.f64 (*.f64 x -2) 1))
(exp.f64 (*.f64 (+.f64 x x) -1))
(exp.f64 (*.f64 (*.f64 3 (*.f64 x -2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 x -2)) 3))
(exp.f64 (*.f64 (neg.f64 x) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 x -2) 1) 1))
(exp.f64 (*.f64 (*.f64 x -1) 2))
(exp.f64 (+.f64 (*.f64 x -1) (neg.f64 x)))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x -1)))
(exp.f64 (+.f64 (*.f64 x -1) (*.f64 x -1)))
(fma.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))) -1)
(+.f64 0 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (E.f64) -1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (pow.f64 (E.f64) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (E.f64) (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(/.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (E.f64))
(pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)
(pow.f64 (E.f64) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(pow.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) 1) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
Outputs
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(pow.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(pow.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1)
(+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (sqrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))) (sqrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (fabs.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) 1) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)))))) (sqrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
0.5b
(log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
3.1b
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
Compiler

Compiled 55 to 41 computations (25.5% saved)

series61.0ms (0.6%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
27.0ms
x
@inf
(log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
16.0ms
x
@-inf
(log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
1.0ms
x
@inf
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
1.0ms
x
@-inf
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
Compiler

Compiled 1815 to 1470 computations (19% saved)

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
456×log-prod_binary64
352×prod-diff_binary64
276×pow2_binary64
252×pow-prod-down_binary64
233×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
124035
2295635
Stop Event
node limit
Counts
3 → 131
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
(log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
Outputs
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egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)))))

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
753×fma-def_binary64
298×distribute-rgt-in_binary64
285×unswap-sqr_binary64
268×distribute-lft-in_binary64
192×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02982438
16632327
219342300
Stop Event
node limit
Counts
131 → 173
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.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 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(/.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 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1) 1))
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 2 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)
(+.f64 0 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 2)) (log.f64 (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) (log.f64 (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (log.f64 (-.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 1 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))
(*.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 2))
(log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)))) 1) 1))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 (pow.f64 (exp.f64 x) -2) 1)
(+.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) -1)
(+.f64 0 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(-.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 1 (exp.f64 (*.f64 -6 x))) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (exp.f64 (*.f64 -6 x)))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 -6 x))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 -6 x))) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 3) 1) (+.f64 (pow.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 2) (+.f64 1 (*.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 2) 1) (+.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2)) 1))
(/.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (exp.f64 (*.f64 -6 x)))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)
(sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(fma.f64 1 (+.f64 2 (pow.f64 (exp.f64 x) -2)) -1)
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 -2 (-.f64 -2 (expm1.f64 (*.f64 x -2)))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 -2 (-.f64 -2 (expm1.f64 (*.f64 x -2)))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 1 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
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(+.f64 2 (expm1.f64 (*.f64 x -2)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 1 (+.f64 2 (pow.f64 (exp.f64 x) -2)) -1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 -4) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 -4) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (+.f64 2 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 2 (expm1.f64 (*.f64 x -2)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
(+.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 3))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0b
(pow.f64 (exp.f64 x) -2)
3.1b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series16.0ms (0.2%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0ms
x
@-inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 815 to 690 computations (15.3% saved)

rewrite71.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
923×pow1_binary64
857×add-log-exp_binary64
856×expm1-log1p-u_binary64
854×log1p-expm1-u_binary64
836×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
120115
2235515
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
501×times-frac_binary64
482×distribute-rgt-in_binary64
469×distribute-lft-in_binary64
397×associate-/l*_binary64
333×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046316
1120315
2417307
32644304
Stop Event
node limit
Counts
18 → 22
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 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 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(+.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 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -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 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1) (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))) (+.f64 1 (/.f64 (+.f64 2 (/.f64 4 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
0.0b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
3.1b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 59 to 45 computations (23.7% saved)

series37.0ms (0.4%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
1.0ms
x
@0
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
0.0ms
x
@-inf
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
0.0ms
x
@inf
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
Compiler

Compiled 3175 to 2760 computations (13.1% saved)

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
473×log-prod_binary64
408×prod-diff_binary64
356×exp-prod_binary64
280×pow2_binary64
275×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
126733
2281733
Stop Event
node limit
Counts
2 → 72
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change 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simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
522×times-frac_binary64
427×exp-prod_binary64
400×unswap-sqr_binary64
373×fma-def_binary64
292×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01731363
13861314
210281314
348301314
Stop Event
node limit
Counts
72 → 82
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 6) 1/6)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9) 1/9)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) 3/2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) 1/3))
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 0 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1)
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) (+.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 x) -2))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 5/2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 5/2) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3/2) 2))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -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 x) -2))) -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 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 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(+.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 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -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 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3)) -1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))
(/.f64 (+.f64 -1 (/.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 6) 1/6)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9) 1/18) (pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9) 1/18))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) 3/2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2) 2/3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 3/2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) 1/3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))) 1)
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 1 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1)
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 5/2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3/2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 5/2) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 6))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 9)) 1/3))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3/2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 3))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3) 3))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3/2) 2))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
0.7b
(cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
3.1b
(log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
3.1b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 83 to 65 computations (21.7% saved)

series70.0ms (0.7%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
17.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
1.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
1.0ms
x
@inf
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
1.0ms
x
@-inf
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
Compiler

Compiled 2945 to 2580 computations (12.4% saved)

rewrite66.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
553×log-prod_binary64
408×prod-diff_binary64
319×pow2_binary64
308×pow-prod-down_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01564
129252
2334352
Stop Event
node limit
Counts
3 → 106
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify82.0ms (0.8%)

Algorithm
egg-herbie
Rules
329×associate-+r+_binary64
326×associate-+l+_binary64
326×unswap-sqr_binary64
295×associate-/l*_binary64
260×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02294294969774
15782253
220412232
377812232
Stop Event
node limit
Counts
106 → 145
Calls
Call 1
Inputs
(+.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 0)
(+.f64 0 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 2 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(+.f64 (log.f64 (pow.f64 1 1/3)) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 1)
(*.f64 1 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 2 (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(pow.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (log.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1))
(+.f64 0 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(*.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/6) (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (E.f64) (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (E.f64))
(pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1)
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(pow.f64 (E.f64) (*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1/3))
(pow.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) 1/6)
(pow.f64 (pow.f64 (exp.f64 3) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/6) 2)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2/3)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (*.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1))
(pow.f64 (cbrt.f64 (E.f64)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) 1) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 1) (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(sqrt.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(exp.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1/3))
(+.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 0)
(+.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1)) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (cbrt.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1/6))) (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (+.f64 1 (expm1.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
Outputs
(+.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 0)
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/6 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 2 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 1 1/3)) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) 1)
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1)
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) -1/3)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (+.f64 1 (expm1.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 -1 (/.f64 2 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

eval534.0ms (5.4%)

Compiler

Compiled 23987 to 19872 computations (17.2% saved)

prune305.0ms (3.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1061201081
Fresh303
Picked101
Done415
Total1069211090
Error
29.5b
Counts
1090 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
42.6b
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
30.5b
(-.f64 (/.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)) 1)
30.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.6b
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
30.1b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
30.1b
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
30.1b
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
30.1b
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
30.6b
(expm1.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
30.5b
(expm1.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
30.9b
(expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
31.0b
(expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
42.6b
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
42.6b
(expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
30.1b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
30.5b
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2))) 3))
30.8b
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
31.0b
(cbrt.f64 (pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) 3))
42.6b
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) 3))
30.1b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
Compiler

Compiled 714 to 645 computations (9.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
3.1b
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
3.1b
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 75 to 59 computations (21.3% saved)

series24.0ms (0.2%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@inf
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
1.0ms
x
@-inf
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
0.0ms
x
@-inf
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
0.0ms
x
@0
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 2455 to 2070 computations (15.7% saved)

rewrite67.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
571×log-prod_binary64
352×pow2_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
240×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01548
130748
2361846
Stop Event
node limit
Counts
3 → 128
Calls
Call 1
Inputs
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (+.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (-.f64 1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (neg.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) (neg.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) 1/9) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2/3 -1/3)))) (#(struct:change #<rule 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simplify81.0ms (0.8%)

Algorithm
egg-herbie
Rules
791×log-prod_binary64
508×exp-prod_binary64
294×fma-neg_binary64
283×distribute-rgt-out_binary64
236×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02033069
14592953
218402947
362732947
Stop Event
node limit
Counts
128 → 101
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
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(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 1)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9)))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(/.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (+.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (-.f64 1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (+.f64 1/9 (-.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (neg.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9)))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(/.f64 (neg.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) (neg.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) 1/9) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) -1)
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(pow.f64 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) -1)
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)
(fma.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3)
(fma.f64 (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1/3)
(fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3)
(fma.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1/3)
(fma.f64 -2/3 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1/3)
(fma.f64 -2/3 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 x) -2))) -1/3)
(+.f64 -1/3 (/.f64 -2/3 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2/3 -1/3)
(fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1/3)
(fma.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3)
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(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) 1)) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (exp.f64 -1/3))) (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)))) (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))
(*.f64 (/.f64 3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) 3))
(/.f64 (*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 3)
(/.f64 (+.f64 1/3 (/.f64 -4/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))
(*.f64 (/.f64 3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) 3))
(/.f64 (*.f64 3 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3))
(*.f64 (/.f64 (+.f64 1/9 (/.f64 -4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 3)
(/.f64 (+.f64 1/3 (/.f64 -4/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
0.0b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
0.0b
(pow.f64 (exp.f64 x) -2)
3.1b
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 50 to 38 computations (24% saved)

series12.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
0.0ms
x
@inf
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
0.0ms
x
@-inf
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
0.0ms
x
@inf
(+.f64 1 (pow.f64 (exp.f64 x) -2))
0.0ms
x
@0
(+.f64 1 (pow.f64 (exp.f64 x) -2))
Compiler

Compiled 1345 to 1110 computations (17.5% saved)

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
530×log-prod_binary64
335×pow2_binary64
279×pow-prod-down_binary64
233×expm1-udef_binary64
233×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01327
128427
2342225
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)) 2)) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)))))

simplify50.0ms (0.5%)

Algorithm
egg-herbie
Rules
626×times-frac_binary64
586×associate-*l/_binary64
398×associate-/l*_binary64
289×associate-*l*_binary64
252×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01591167
13281143
28721115
340151071
Stop Event
node limit
Counts
65 → 85
Calls
Call 1
Inputs
(+.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)
(+.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (log.f64 (pow.f64 (exp.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)) 2)) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1/3) 1/9))
(/.f64 (*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1/3) 1/9))
(/.f64 (*.f64 3 (-.f64 1/9 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)
(sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
Outputs
(+.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
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(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 -4) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -4) (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 1)
(+.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) 3))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 (exp.f64 (neg.f64 x)))
0.5b
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2)
3.1b
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
Compiler

Compiled 34 to 21 computations (38.2% saved)

series45.0ms (0.5%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
2.0ms
x
@inf
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
2.0ms
x
@-inf
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
1.0ms
x
@0
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2)
0.0ms
x
@0
(hypot.f64 1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 4995 to 4675 computations (6.4% saved)

rewrite55.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
757×pow1_binary64
698×add-log-exp_binary64
697×log1p-expm1-u_binary64
697×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
121228
2222328
Stop Event
node limit
Counts
3 → 52
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2)
(hypot.f64 1 (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 3) -1) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) 1) (-.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 1 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) -2) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2) (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (hypot.f64 1 (exp.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) (cbrt.f64 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) (sqrt.f64 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 (exp.f64 x))))))))

simplify42.0ms (0.4%)

Algorithm
egg-herbie
Rules
488×fma-neg_binary64
322×unswap-sqr_binary64
307×log-prod_binary64
288×exp-prod_binary64
269×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110758
1243663
2940576
34903576
Stop Event
node limit
Counts
52 → 63
Calls
Call 1
Inputs
(+.f64 -1 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2))
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)
(+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 1) -1)
(-.f64 (+.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 1)
(*.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1))
(*.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 3) -1) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) 1) (-.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))
(pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) 1)
(*.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(*.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 1 (hypot.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) -2) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) -2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2) (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2))
(sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(exp.f64 (*.f64 -2 (log.f64 (hypot.f64 1 (exp.f64 x)))))
(-.f64 (+.f64 1 (hypot.f64 1 (exp.f64 x))) 1)
(*.f64 1 (hypot.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) (cbrt.f64 (hypot.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) (sqrt.f64 (hypot.f64 1 (exp.f64 x))))
(pow.f64 (hypot.f64 1 (exp.f64 x)) 1)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) 2)
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (exp.f64 x))))
(exp.f64 (log.f64 (hypot.f64 1 (exp.f64 x))))
Outputs
(+.f64 -1 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 1) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(-.f64 (+.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(*.f64 1 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(*.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) 3) -1) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))))
(/.f64 (+.f64 -1 (*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 3) 8)) (+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) 4) (-.f64 1 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) -2))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 3) 8 -1) (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) 4 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 1)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2)) 1) (-.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1))
(/.f64 (+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) 4) -1) (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 1))
(/.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) 4 -1) (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 1))
(pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3) 1/3)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 3)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)) 2)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 2))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1) 3))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(exp.f64 (log.f64 (fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2 -1)
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(*.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))
(*.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 1 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) -2) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) -2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2) (pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) -2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 3))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(exp.f64 (*.f64 -2 (log.f64 (hypot.f64 1 (exp.f64 x)))))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 1))
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 0)
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(-.f64 (+.f64 1 (hypot.f64 1 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(*.f64 1 (hypot.f64 1 (exp.f64 x)))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(*.f64 (hypot.f64 1 (exp.f64 x)) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 2) (cbrt.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(*.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) (sqrt.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(pow.f64 (hypot.f64 1 (exp.f64 x)) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1/2)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 x))) 3)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 x))) 2)
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(log.f64 (exp.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 3))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(expm1.f64 (log1p.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(log1p.f64 (expm1.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))
(exp.f64 (log.f64 (hypot.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (exp.f64 x)) 1))
(+.f64 (hypot.f64 1 (exp.f64 x)) 0)
(hypot.f64 1 (exp.f64 x))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x))))
3.1b
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
Compiler

Compiled 72 to 55 computations (23.6% saved)

series23.0ms (0.2%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
1.0ms
x
@-inf
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
1.0ms
x
@0
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
0.0ms
x
@0
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x))))
0.0ms
x
@0
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
Compiler

Compiled 2435 to 1890 computations (22.4% saved)

rewrite63.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
679×log-prod_binary64
397×pow2_binary64
273×pow1/3_binary64
273×log1p-udef_binary64
272×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01757
134157
2387657
Stop Event
node limit
Counts
3 → 83
Calls
Call 1
Inputs
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x))))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 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simplify65.0ms (0.7%)

Algorithm
egg-herbie
Rules
541×fma-neg_binary64
374×exp-prod_binary64
348×cube-prod_binary64
215×*-commutative_binary64
203×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01981867
14241774
216221774
354171768
Stop Event
node limit
Counts
83 → 108
Calls
Call 1
Inputs
(+.f64 -1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(+.f64 0 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1)
(+.f64 (*.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))) 1)
(*.f64 1 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))
(*.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 3) -1) (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) (-.f64 1 (*.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) 1) (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 1))
(pow.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 1))
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) 1)
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -6)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -6))) 2)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) -6) 3))) (fma.f64 (pow.f64 (exp.f64 x) -6) (expm1.f64 (*.f64 -6 x)) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) -6) 2))) (-.f64 1 (pow.f64 (exp.f64 x) -6)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) 1)
(pow.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))) 2)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 1/2) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 1/2) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6)))))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -6))))
(exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -6))) 1))
(+.f64 1 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))))
(+.f64 0 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 1)
(+.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))) 1)
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(*.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 3) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) (-.f64 1 (*.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) 1) (expm1.f64 (fma.f64 x -2 (log.f64 (expm1.f64 (*.f64 x -2))))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)))) 1))
Outputs
(+.f64 -1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(+.f64 0 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(+.f64 (*.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 1) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))) 1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 1 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1) 1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 2))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)) (sqrt.f64 (fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 2 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 3) -1) (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) (-.f64 1 (*.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) 1) (*.f64 -1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 3) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) (-.f64 1 (*.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 3)) (-.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (pow.f64 (expm1.f64 (*.f64 x -2)) 3) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) 1) (expm1.f64 (fma.f64 x -2 (log.f64 (expm1.f64 (*.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2) -1) (expm1.f64 (fma.f64 x -2 (log.f64 (expm1.f64 (*.f64 x -2))))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2))) 2)) (expm1.f64 (fma.f64 x -2 (log.f64 (expm1.f64 (*.f64 x -2))))))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 1)
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 2) 1/2)
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 3) 1/3)
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(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)) 2)
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 2))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
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(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) 3))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)))) 1))
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)))))

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
0.0b
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
1.0b
(sqrt.f64 (log.f64 2))
31.0b
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 88 to 72 computations (18.2% saved)

series301.0ms (3%)

Counts
4 → 0
Calls

9 calls:

TimeVariablePointExpression
101.0ms
x
@0
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
7.0ms
x
@inf
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
3.0ms
x
@inf
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
1.0ms
x
@0
(pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
Compiler

Compiled 14225 to 13740 computations (3.4% saved)

rewrite106.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
487×log-prod_binary64
366×exp-prod_binary64
286×pow-prod-down_binary64
282×pow2_binary64
215×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01557
130351
2307647
Stop Event
node limit
Counts
4 → 186
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (log.f64 2))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
Outputs
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simplify100.0ms (1%)

Algorithm
egg-herbie
Rules
358×associate-+l+_binary64
315×associate-/l*_binary64
301×associate-+r+_binary64
253×sqr-pow_binary64
232×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04273716
110092780
228862588
Stop Event
node limit
Counts
186 → 238
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) -1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 0 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (fma.f64 (log.f64 2) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (pow.f64 (log.f64 2) 1/4) (pow.f64 (log.f64 2) 3/4) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (pow.f64 (log.f64 2) 3/4) (pow.f64 (log.f64 2) 1/4) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (pow.f64 (log.f64 2) 5/6) (pow.f64 (log.f64 2) 1/6) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (fma.f64 (log.f64 2) 1 (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))))
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(*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 1/6))
(*.f64 (pow.f64 (log.f64 2) 1/6) (cbrt.f64 (log.f64 2)))
(*.f64 (pow.f64 (log.f64 2) 1/4) (pow.f64 (log.f64 2) 1/4))
(pow.f64 (log.f64 2) 1/2)
(pow.f64 (sqrt.f64 (log.f64 2)) 1)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/4)
(pow.f64 (pow.f64 (log.f64 2) 3) 1/6)
(pow.f64 (pow.f64 (log.f64 2) 3/2) 1/3)
(pow.f64 (cbrt.f64 (log.f64 2)) 3/2)
(pow.f64 (pow.f64 (log.f64 2) 1/6) 3)
(pow.f64 (pow.f64 (log.f64 2) 1/4) 2)
(pow.f64 (exp.f64 1/2) (log.f64 (log.f64 2)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 2))))) (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 2)))))
(fabs.f64 (sqrt.f64 (log.f64 2)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 2)))))
(cbrt.f64 (pow.f64 (log.f64 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 2))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 2) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (log.f64 2))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 1) 1))
(+.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) -1)
(+.f64 0 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))))
(-.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) 1)
(*.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 1)
(*.f64 1 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))
(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 2) (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(*.f64 (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) 3) 1) (+.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) 2) (+.f64 1 (*.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) 2) 1) (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) 1))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 1)
(pow.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 6) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 9) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 2) 3/2)
(pow.f64 (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 2)
(pow.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3/2) 2/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))) (sqrt.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))))
(sqrt.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2))
(log.f64 (exp.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))))
(expm1.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(exp.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1) 1/3))
(fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)
(fma.f64 1 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) 2) (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) -1)
(fma.f64 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1))) -1)
(+.f64 0 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3))) 1)
(*.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2))
(*.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3))
(*.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2) (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2)))
(*.f64 (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 5/2))
(*.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3/2) (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3/2))
(*.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 5/2) (sqrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(*.f64 (*.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 2) 1) (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))
(*.f64 (pow.f64 (*.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2) (cbrt.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)))
(sqrt.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3))))
(cbrt.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 9))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 3/2) 2))
Outputs
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 -1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2)) (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2)) (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2)) (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) -1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2)) (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))
(+.f64 0 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
(+.f64 (fma.f64 (log.f64 2) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (*.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))
(+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 (fma.f64 2 (pow.f64 (exp.f64 x) -2) 2))
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(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 3/2))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 9)) 1/3))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 2))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 1) 3))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1/3) 3))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1))) 1) 1))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1)) 3/2) 2))
(pow.f64 (fma.f64 2 (+.f64 (pow.f64 (exp.f64 x) -2) 1) -1) 3)
(pow.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1) 3)
(pow.f64 (+.f64 1 (*.f64 2 (pow.f64 (exp.f64 x) -2))) 3)

eval599.0ms (6.1%)

Compiler

Compiled 18146 to 15007 computations (17.3% saved)

prune280.0ms (2.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New79714811
Fresh51015
Picked101
Done325
Total80626832
Error
29.5b
Counts
832 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
42.6b
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (exp.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -2)) 1) -1)
30.8b
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
30.5b
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
30.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.6b
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
30.5b
(+.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3) (*.f64 2 (log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)))))
62.2b
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)
44.6b
(+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1)
42.6b
(*.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1/3) 3)
30.5b
(*.f64 (fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3) 3)
30.1b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
30.1b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
30.6b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
30.1b
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
44.4b
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
30.1b
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
30.1b
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
30.6b
(expm1.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
31.0b
(expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
42.6b
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
42.6b
(expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
30.1b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
30.5b
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 3/2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
31.0b
(cbrt.f64 (pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) 3))
42.6b
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) 3))
30.1b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
Compiler

Compiled 890 to 806 computations (9.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
3.1b
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))))
3.1b
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))
Compiler

Compiled 76 to 67 computations (11.8% saved)

series64.0ms (0.6%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))
1.0ms
x
@-inf
(/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0ms
x
@inf
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
0.0ms
x
@inf
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))
0.0ms
x
@-inf
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))
Compiler

Compiled 2705 to 2365 computations (12.6% saved)

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
579×log-prod_binary64
347×pow2_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
239×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01560
130260
2355458
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))))
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
(/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (+.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) (neg.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (neg.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/9) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))))))

simplify126.0ms (1.3%)

Algorithm
egg-herbie
Rules
545×fma-neg_binary64
296×unswap-sqr_binary64
291×distribute-rgt-out_binary64
290×*-commutative_binary64
241×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523546
15483379
222993345
376743345
Stop Event
node limit
Counts
157 → 152
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))
(*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))
(*.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))
(/.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (+.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) (neg.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))
(/.f64 (neg.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (neg.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/9) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3))
(pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) -1)
(pow.f64 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1))
(fma.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)
(fma.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1/3)
(fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1/3)
(fma.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1/3)
(fma.f64 -2/3 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)) -1/3)
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2/3 -1/3)
(fma.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) -1/3)
(fma.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1/3)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)
(+.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 0)
(+.f64 0 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (*.f64 2 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(*.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))
(*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))
(*.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))
(/.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (+.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (neg.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) (neg.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))
(/.f64 (neg.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (neg.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/9) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3))
(pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) -1)
(pow.f64 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1))
(fma.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)
(fma.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3)
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1 -1/3)
(fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1/3)
(fma.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1/3)
(fma.f64 -2/3 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)) -1/3)
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2/3 -1/3)
(fma.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) -1/3)
(fma.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)) -1/3)
(+.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) -1)
(+.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 3)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 3)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 1)) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (exp.f64 -1/3))) (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))) (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))) 1)
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 (*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 (*.f64 3 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 1))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 0 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1)
(*.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(*.f64 -2/3 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2/3)
(*.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(*.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(pow.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) 1) -1)
(sqrt.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(log.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(cbrt.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(log1p.f64 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(exp.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) 1)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (/.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (pow.f64 (+.f64 3/2 (*.f64 (pow.f64 (exp.f64 -2) x) 3/2)) -2)) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 1 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1)
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 3 (*.f64 1/3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)))
(*.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (sqrt.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9)))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9))
(*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 1 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (pow.f64 (+.f64 3/2 (*.f64 (pow.f64 (exp.f64 -2) x) 3/2)) -2)) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(*.f64 1/3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 2 (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))
(*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (/.f64 1 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)))
(/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9))
(/.f64 1 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
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(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))) (*.f64 1/2 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (+.f64 -1/6 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/2)) (log.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (exp.f64 2) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))))
(+.f64 (+.f64 -2/3 (/.f64 4/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (+.f64 -1/6 (/.f64 1/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (*.f64 (-.f64 -1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 15/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))) 1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))
(*.f64 (/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)) 3)
(*.f64 3 (/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)))
(/.f64 (*.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
(*.f64 (/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 3)
(/.f64 (+.f64 1/3 (/.f64 -4/3 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27)))
(*.f64 (/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)) 3)
(*.f64 3 (/.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) -3) -1/27) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1/3) 1/9)))
(/.f64 (*.f64 3 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
(*.f64 (/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 3)
(/.f64 (+.f64 1/3 (/.f64 -4/3 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 2) 1/2)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 3) 1/3)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 3)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 2)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 2))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1))))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1) 3))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)) 1))
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3 -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 0 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) 1)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 2/3 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 1 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(*.f64 -2/3 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)))
(/.f64 -2/3 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 -2/3 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2/3)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1))
(*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -6) x))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2/3 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2/3 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) 2/3))
(pow.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)) 1/2)
(sqrt.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(sqrt.f64 (pow.f64 (+.f64 3/2 (*.f64 (pow.f64 (exp.f64 -2) x) 3/2)) -2))
(pow.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (/.f64 1 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2/3) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)
(pow.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)) 1/3)
(cbrt.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) -1)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3/2) 1) -1)
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(sqrt.f64 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))
(sqrt.f64 (pow.f64 (+.f64 3/2 (*.f64 (pow.f64 (exp.f64 -2) x) 3/2)) -2))
(log.f64 (exp.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(cbrt.f64 (/.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(log1p.f64 (expm1.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))
(/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(exp.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2/3 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(exp.f64 (-.f64 (log.f64 2/3) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(/.f64 2/3 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 (*.f64 x -2)))
0.0b
(/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))
0.0b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
3.1b
(+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2)))))
Compiler

Compiled 51 to 44 computations (13.7% saved)

series11.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
0.0ms
x
@inf
(+.f64 1 (exp.f64 (*.f64 x -2)))
0.0ms
x
@-inf
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
0.0ms
x
@inf
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
0.0ms
x
@-inf
(+.f64 1 (exp.f64 (*.f64 x -2)))
Compiler

Compiled 1185 to 1025 computations (13.5% saved)

rewrite88.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
538×log-prod_binary64
330×pow2_binary64
287×pow-prod-down_binary64
232×fma-def_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01327
127927
2335825
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
(+.f64 1 (exp.f64 (*.f64 x -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)))))

simplify68.0ms (0.7%)

Algorithm
egg-herbie
Rules
572×associate-*l*_binary64
509×associate-*r*_binary64
294×unswap-sqr_binary64
265×distribute-rgt-in_binary64
255×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531101
13271080
29751057
358891033
Stop Event
node limit
Counts
64 → 86
Calls
Call 1
Inputs
(+.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)
(+.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 (*.f64 3 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.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 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
Outputs
(+.f64 0 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 -1 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (*.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) (*.f64 2 (log.f64 (exp.f64 (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3)))))
(fma.f64 2 (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3))
(*.f64 3 (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (*.f64 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27) 3) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))
(*.f64 (/.f64 3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27))
(/.f64 (+.f64 -1/9 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) 8/9)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) 3) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 3 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1/9 (*.f64 -4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))))
(*.f64 (/.f64 3 (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))))
(/.f64 (+.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -4/3)) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (*.f64 3 (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (-.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1/3) 1/9))
(/.f64 3 (/.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27)))
(*.f64 (/.f64 3 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9)) (fma.f64 8/27 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1/27))
(/.f64 (+.f64 -1/9 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) 8/9)) (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (+.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3) 1/9))
(/.f64 (*.f64 3 (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))) (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 3 (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1/9 (*.f64 -4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))))
(*.f64 (/.f64 3 (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (-.f64 1/9 (*.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))))
(/.f64 (+.f64 1/3 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -4/3)) (+.f64 -1/3 (/.f64 -2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2) 1/2)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3) 1/3)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 2)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 3))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 1))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(*.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (exp.f64 (*.f64 -4 x)) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 -4) x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 x) -4)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 -4) x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 -4) x)) (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -4 x))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 -4 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(/.f64 (expm1.f64 (*.f64 -4 x)) (expm1.f64 (*.f64 x -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (*.f64 x -2)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (exp.f64 (*.f64 -4 x)))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -4) x)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (expm1.f64 (*.f64 x -4)) (expm1.f64 (-.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (exp.f64 (*.f64 -4 x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 -4 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 1 (pow.f64 (exp.f64 x) -2))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
0.0b
(pow.f64 (exp.f64 x) -2)
3.1b
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
3.1b
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Compiler

Compiled 60 to 46 computations (23.3% saved)

series17.0ms (0.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
0.0ms
x
@0
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
0.0ms
x
@-inf
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
0.0ms
x
@inf
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
0.0ms
x
@inf
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
Compiler

Compiled 1535 to 1280 computations (16.6% saved)

rewrite69.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
481×log-prod_binary64
296×pow2_binary64
263×pow-prod-down_binary64
243×prod-diff_binary64
221×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
125630
2302530
Stop Event
node limit
Counts
2 → 107
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 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(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))))

simplify82.0ms (0.8%)

Algorithm
egg-herbie
Rules
601×log-prod_binary64
404×exp-sum_binary64
383×fma-neg_binary64
354×cube-prod_binary64
344×exp-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482551
13542469
213652469
354372469
Stop Event
node limit
Counts
107 → 71
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(-.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 1/3 (*.f64 3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 0)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (*.f64 2 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(-.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 1/3 (*.f64 3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(/.f64 (-.f64 1 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(-.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (/.f64 -1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(+.f64 (/.f64 4 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (/.f64 1 (+.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 2 (*.f64 1/2 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 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 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -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 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 3 (*.f64 1/3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -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 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))
(/.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 1/3 (*.f64 3 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1))
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))
(/.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 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))
(/.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 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))
(/.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 (-.f64 1 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 1 (/.f64 -4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (+.f64 -1 (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (/.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(*.f64 (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1))
(/.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)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 -2 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 -1 (/.f64 -2 (-.f64 -1 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
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(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)
(*.f64 (+.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
0.0b
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3)
0.0b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
3.1b
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
Compiler

Compiled 60 to 52 computations (13.3% saved)

series150.0ms (1.5%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
78.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
27.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
3.0ms
x
@inf
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
3.0ms
x
@-inf
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
1.0ms
x
@0
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
Compiler

Compiled 4175 to 3735 computations (10.5% saved)

rewrite92.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
481×log-prod_binary64
394×prod-diff_binary64
365×exp-prod_binary64
283×pow-prod-down_binary64
276×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
126361
2277961
Stop Event
node limit
Counts
4 → 206
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Outputs
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(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)))))

simplify189.0ms (1.9%)

Algorithm
egg-herbie
Rules
880×fma-neg_binary64
477×distribute-rgt-in_binary64
420×distribute-lft-in_binary64
205×sqr-pow_binary64
203×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03344086
17813960
221933960
376643960
Stop Event
node limit
Counts
206 → 182
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (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 (log.f64 2) (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 (log.f64 2) (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 (log.f64 2) (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 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
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(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 6) 1/6)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 9) 1/9)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) 3/2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -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))))
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(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 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) 3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1) 1/3))
(fma.f64 1 (/.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 (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 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(+.f64 0 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))
(*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1)
(*.f64 (pow.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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 5/2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3/2) (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3/2))
(*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 5/2) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) (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)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 9))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3/2) 2))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2)) (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 (/.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 (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 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 2) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))
(pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 6) 1/6)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 9) 1/9)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) 3/2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -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))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(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 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) 3/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1) 1/3))
(fma.f64 1 (/.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 (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 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
Outputs
(+.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 (log.f64 2) (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 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 0 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log.f64 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))) (log.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))))) (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(+.f64 -1 (/.f64 2 (+.f64 (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))))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))
(+.f64 -1 (/.f64 2 (+.f64 (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))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) 3/2))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 3))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 2))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 1) 1))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1/3) 1))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))) 1) 1/3))
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 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)
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))
(fma.f64 (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) -1)
(+.f64 -1 (/.f64 2 (+.f64 (pow.f64 (exp.f64 -2) x) 1)))

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.5b
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)
1.0b
(pow.f64 (log.f64 2) 2)
3.1b
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
Compiler

Compiled 92 to 72 computations (21.7% saved)

series42.0ms (0.4%)

Counts
4 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@inf
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
1.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
1.0ms
x
@0
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
Compiler

Compiled 4080 to 3635 computations (10.9% saved)

rewrite419.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
646×log-prod_binary64
457×fma-def_binary64
349×pow2_binary64
241×fma-neg_binary64
239×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01370
129149
2395449
Stop Event
node limit
Counts
4 → 293
Calls
Call 1
Inputs
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(pow.f64 (log.f64 2) 2)
(pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
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(exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))

simplify186.0ms (1.9%)

Algorithm
egg-herbie
Rules
419×div-sub_binary64
417×fma-neg_binary64
323×cancel-sign-sub-inv_binary64
226×associate-/l/_binary64
200×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05098910
111148210
236397852
Stop Event
node limit
Counts
293 → 359
Calls
Call 1
Inputs
(+.f64 (pow.f64 (log.f64 2) 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (fma.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log.f64 2) 2))
(+.f64 0 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1)
(*.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6)) (/.f64 1 (fma.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (log.f64 2) 4))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (/.f64 1 (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (log.f64 2) 4)) (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6))))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6)) (fma.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (log.f64 2) 4)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6))) (neg.f64 (fma.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (log.f64 2) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4))) (neg.f64 (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 3)) (+.f64 (pow.f64 (log.f64 2) 4) (-.f64 (pow.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 2) (*.f64 (pow.f64 (log.f64 2) 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 3)
(pow.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (pow.f64 (log.f64 2) 4)) (-.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6))) -1)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (-.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4))) -1)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 2))
(log.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(log.f64 (/.f64 (pow.f64 2 (log.f64 2)) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))) (exp.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (*.f64 (pow.f64 2 (log.f64 2)) (/.f64 1 (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2))) (/.f64 1 (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (pow.f64 2 (log.f64 2))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (pow.f64 2 (log.f64 2))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 1))
(fma.f64 (log.f64 2) (log.f64 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (log.f64 2) (log.f64 2) (*.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1))
(fma.f64 (pow.f64 (log.f64 2) 2) 1 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (pow.f64 (log.f64 2) 2) 1 (*.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1))
(fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (log.f64 2) 2))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (fma.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 1 (pow.f64 (log.f64 2) 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 1 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1))
(fma.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(fma.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (fma.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
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(fma.f64 (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) 1) (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (/.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (cbrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(fma.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(+.f64 (pow.f64 (log.f64 2) 2) (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (fma.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(+.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 4)))))
(+.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (pow.f64 (log.f64 2) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 0 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))) (log.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) 1)
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(*.f64 (+.f64 (log.f64 2) (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) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(*.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))
(*.f64 (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (hypot.f64 (log.f64 2) (sqrt.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
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(fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))) (fma.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (-.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 2)) (pow.f64 (log.f64 2) 2)) 0)

eval722.0ms (7.3%)

Compiler

Compiled 26251 to 22420 computations (14.6% saved)

prune298.0ms (3%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New102691035
Fresh41519
Picked011
Done156
Total1031301061
Error
29.4b
Counts
1061 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
42.6b
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (exp.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -2)) 1) -1)
30.8b
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
30.5b
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
30.1b
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
30.1b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.6b
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
62.2b
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)
44.6b
(+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1)
30.3b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (*.f64 (-.f64 -1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 15/2))
42.6b
(*.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) -1/3) 3)
30.5b
(*.f64 (fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3) 3)
30.1b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
30.1b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
30.6b
(*.f64 (+.f64 -1/3 (/.f64 2/3 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
30.1b
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
44.4b
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
30.1b
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
30.1b
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)))
30.6b
(expm1.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
43.2b
(expm1.f64 (fma.f64 (/.f64 (log.f64 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (log.f64 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
42.6b
(expm1.f64 (fma.f64 (/.f64 (log.f64 2) 1) (/.f64 (log.f64 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
31.0b
(expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
42.9b
(expm1.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
42.6b
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
42.9b
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
43.3b
(expm1.f64 (/.f64 (log.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
42.6b
(expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
30.1b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
30.5b
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 3/2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
30.1b
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
Compiler

Compiled 600 to 539 computations (10.2% saved)

regimes207.0ms (2.1%)

Counts
52 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))) 3)
(+.f64 (*.f64 2 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) 2) -1)
(-.f64 (/.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)) 1)
(fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)))
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x -2)))))) 1)
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)
(log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))
(-.f64 (/.f64 2 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)
(-.f64 (/.f64 2 (pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)) 1)
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
(*.f64 (+.f64 -1/3 (/.f64 2/3 (expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 3)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(log.f64 (exp.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1) 2))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3 -1)) 3)
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (exp.f64 (*.f64 x -2)) (expm1.f64 (*.f64 x -2)) 1) -1)
(/.f64 (-.f64 1/9 (/.f64 4/9 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))) (/.f64 (-.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 3))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))) 3))
(fma.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(*.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 -6 x)))) (fma.f64 (pow.f64 (exp.f64 -2) x) (expm1.f64 (*.f64 x -2)) 1) -1/3) 3)
(/.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)))))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)
(*.f64 (fma.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1/3) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (*.f64 (-.f64 -1/9 (/.f64 -2/9 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 15/2))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) 3)
(*.f64 (fma.f64 (cbrt.f64 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4/9 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1/3) 3)
(expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3)) 3))
(+.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3) (*.f64 2 (log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1/3)))))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(expm1.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 3/2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3))
(expm1.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2)))
(expm1.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 6))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (log.f64 2))) 3))
(expm1.f64 (/.f64 (log.f64 (/.f64 (pow.f64 2 (log.f64 2)) (exp.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)))) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) 3))
(expm1.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(expm1.f64 (fma.f64 (/.f64 (log.f64 2) 1) (/.f64 (log.f64 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(expm1.f64 (fma.f64 (/.f64 (log.f64 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (log.f64 2) (sqrt.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (/.f64 (neg.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
Outputs
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
Calls

7 calls:

50.0ms
y
47.0ms
x
25.0ms
(*.f64 -2 x)
8.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
5.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
30.1b1x
30.1b1y
30.1b1(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.1b1(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
30.1b1(+.f64 1 (exp.f64 (*.f64 -2 x)))
30.1b1(exp.f64 (*.f64 -2 x))
30.1b1(*.f64 -2 x)
Compiler

Compiled 936 to 785 computations (16.1% saved)

regimes33.0ms (0.3%)

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

7 calls:

6.0ms
(+.f64 1 (exp.f64 (*.f64 -2 x)))
5.0ms
(*.f64 -2 x)
5.0ms
y
5.0ms
x
3.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
30.1b1x
30.1b1y
30.1b1(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.1b1(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
30.1b1(+.f64 1 (exp.f64 (*.f64 -2 x)))
30.1b1(exp.f64 (*.f64 -2 x))
30.1b1(*.f64 -2 x)
Compiler

Compiled 147 to 128 computations (12.9% saved)

regimes21.0ms (0.2%)

Accuracy

Total -14.7b remaining (-48.8%)

Threshold costs -14.7b (-48.8%)

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

7 calls:

5.0ms
(*.f64 -2 x)
3.0ms
x
3.0ms
y
2.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
2.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
30.1b1x
30.1b1y
30.1b1(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
30.1b1(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
30.1b1(+.f64 1 (exp.f64 (*.f64 -2 x)))
30.1b1(exp.f64 (*.f64 -2 x))
30.1b1(*.f64 -2 x)
Compiler

Compiled 79 to 69 computations (12.7% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02755
14055
24155
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(*.f64 (log.f64 (exp.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (exp.f64 (*.f64 x -2))))))) 3)
(*.f64 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(*.f64 3 (+.f64 -1/3 (/.f64 2/3 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
Compiler

Compiled 42 to 39 computations (7.1% saved)

soundness193.0ms (2%)

Algorithm
egg-herbie
Rules
540×fma-def_binary64
501×fma-neg_binary64
379×exp-prod_binary64
329×associate-+r+_binary64
326×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03132833
16772708
219332704
371052704
02294294969774
15782253
220412232
377812232
Stop Event
node limit
node limit
Compiler

Compiled 260 to 241 computations (7.3% saved)

end33.0ms (0.3%)

Compiler

Compiled 38 to 35 computations (7.9% saved)

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