expm1 (example 3.7)

Time bar (total: 4.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (32.8%)

Results
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0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
1.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms2048valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms512valid
0.0ms2048valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms2048valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
Bogosity

preprocess217.0ms (4.7%)

Algorithm
egg-herbie
Rules
1000×fma-define
820×associate--r+
652×distribute-lft-in
630×distribute-lft-out
588×distribute-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.f64 (exp.f64 x) 1)
00-0-x
00-0-(exp.f64 x)
00-0-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37444
411944
523644
653944
7162144
8463944
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

localize44.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(expm1.f64 x)
Compiler

Compiled 5 to 3 computations (40% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 x)
1.0ms
x
@-inf
(expm1.f64 x)
1.0ms
x
@inf
(expm1.f64 x)

rewrite244.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
1178×fma-define
867×log1p-expm1-u
866×expm1-log1p-u
592×fma-neg
358×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1428
24248
346398
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(expm1.f64 x)
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 (exp.f64 x) 1 (neg.f64 (log.f64 (E.f64))))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 1 (exp.f64 x) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))

simplify73.0ms (1.6%)

Algorithm
egg-herbie
Rules
1432×times-frac
654×fma-define
562×log-prod
510×unswap-sqr
426×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01922335
14222294
211271878
341901666
Stop Event
node limit
Counts
87 → 104
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 -1 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 (exp.f64 x) 1 (neg.f64 (log.f64 (E.f64))))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 1 (exp.f64 x) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 0 (expm1.f64 x))
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 x)
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (pow.f64 (expm1.f64 x) 1/6) 3))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/4)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (pow.f64 (expm1.f64 x) 1/6) 3))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (expm1.f64 x) 1/6)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))))
(+.f64 (/.f64 (pow.f64 (exp.f64 3) x) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) (/.f64 1 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (fma.f64 (+.f64 (exp.f64 x) 1) (exp.f64 x) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (+.f64 (exp.f64 x) 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (+.f64 (exp.f64 x) 1)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
(*.f64 1 (/.f64 (expm1.f64 x) 1))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(fabs.f64 (expm1.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 x))) 1/3))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 x)
(fma.f64 (exp.f64 x) 1 -1)
(expm1.f64 x)
(fma.f64 (exp.f64 x) 1 (neg.f64 (log.f64 (E.f64))))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) (neg.f64 (log.f64 (E.f64))))
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (log.f64 (E.f64))))
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) (neg.f64 (log.f64 (E.f64))))
(expm1.f64 x)

eval59.0ms (1.3%)

Compiler

Compiled 1129 to 618 computations (45.3% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh000
Picked011
Done000
Total1023105
Accuracy
100.0%
Counts
105 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
100.0%
(expm1.f64 x)
97.6%
x
Compiler

Compiled 24 to 18 computations (25% saved)

localize245.0ms (5.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) 2)
99.7%
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
99.6%
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
9.0%
(+.f64 (exp.f64 (*.f64 x 3)) -1)
Compiler

Compiled 74 to 50 computations (32.4% saved)

series12.0ms (0.3%)

Counts
4 → 40
Calls

12 calls:

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

rewrite139.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1968×prod-diff
811×log1p-expm1-u
703×expm1-log1p-u
148×associate-*r*
114×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019156
1258150
23650150
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(+.f64 (exp.f64 (*.f64 x 3)) -1)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(pow.f64 (exp.f64 x) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3/2) 1) (-.f64 (pow.f64 (exp.f64 x) 3/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))) (+.f64 -1 (pow.f64 (exp.f64 x) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) -1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (+.f64 (pow.f64 (exp.f64 x) 3) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 -1 (pow.f64 (exp.f64 x) 3)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1))
(fma.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x) -1)
(fma.f64 1 (pow.f64 (exp.f64 x) 3) -1)
(fma.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))) 1)
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (/.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1))
(*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (*.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 -1 (pow.f64 (exp.f64 x) 9))) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 6) -1)) (+.f64 (pow.f64 (exp.f64 x) 3) 1))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 2)
(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) 3) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(exp.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1))
(+.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (pow.f64 (exp.f64 x) 3)) (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) -1))
(+.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) -1) (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (pow.f64 (exp.f64 x) 3)))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) (*.f64 -1 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(+.f64 (*.f64 -1 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) (*.f64 (pow.f64 (exp.f64 x) 3) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) -1) (pow.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(*.f64 (/.f64 1 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 1) (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (+.f64 (exp.f64 x) 1) 3))) (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (+.f64 (exp.f64 x) 1) (-.f64 (+.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x 2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (-.f64 (expm1.f64 (*.f64 x 2)) (exp.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) (+.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3))))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 2)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3) (pow.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (log.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x 2)))) 1)
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x 2)) 1)
(*.f64 1 (exp.f64 (*.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 x 2))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 x 2))))
(exp.f64 (*.f64 x 2))
(exp.f64 (*.f64 (*.f64 x 2) 1))

simplify114.0ms (2.5%)

Algorithm
egg-herbie
Rules
676×log-prod
532×exp-prod
442×cancel-sign-sub-inv
426×distribute-lft-neg-in
396×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03688089
19087861
234907747
Stop Event
node limit
Counts
180 → 222
Calls
Call 1
Inputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 9/2 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 3))))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 27/8 (pow.f64 x 4)) (+.f64 (*.f64 9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 3)))))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3/2) 1) (-.f64 (pow.f64 (exp.f64 x) 3/2) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))) (+.f64 -1 (pow.f64 (exp.f64 x) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) -1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (+.f64 (pow.f64 (exp.f64 x) 3) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 -1 (pow.f64 (exp.f64 x) 3)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1))
(fma.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x) -1)
(fma.f64 1 (pow.f64 (exp.f64 x) 3) -1)
(fma.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2) -1)
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x 2)))) 1)
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x 2)) 1)
(*.f64 1 (exp.f64 (*.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 x 2)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 x 2))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 x 2))))
(exp.f64 (*.f64 x 2))
(exp.f64 (*.f64 (*.f64 x 2) 1))
Outputs
(*.f64 3 x)
(+.f64 (*.f64 3 x) (*.f64 9/2 (pow.f64 x 2)))
(fma.f64 3 x (*.f64 9/2 (pow.f64 x 2)))
(fma.f64 9/2 (pow.f64 x 2) (*.f64 3 x))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 3))))
(fma.f64 3 x (*.f64 9/2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(fma.f64 9/2 (fma.f64 x x (pow.f64 x 3)) (*.f64 3 x))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 27/8 (pow.f64 x 4)) (+.f64 (*.f64 9/2 (pow.f64 x 2)) (*.f64 9/2 (pow.f64 x 3)))))
(fma.f64 3 x (fma.f64 27/8 (pow.f64 x 4) (*.f64 9/2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(fma.f64 3 x (fma.f64 9/2 (fma.f64 x x (pow.f64 x 3)) (*.f64 27/8 (pow.f64 x 4))))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (*.f64 3 x)) 1)
(expm1.f64 (*.f64 3 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) -1/720 -1/2))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 (pow.f64 x 2) 1/2))
(fma.f64 (pow.f64 x 2) 1/2 x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 x 2) 1/2 x) (*.f64 (pow.f64 x 3) 1/6))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 x (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 3) 1/6)) (fma.f64 (pow.f64 x 2) 1/2 x))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x 2))
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (+.f64 x (pow.f64 x 2)) 1)
(+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 4/3 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
(+.f64 1 (fma.f64 2 (+.f64 x (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1)
(expm1.f64 (*.f64 3 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (pow.f64 (exp.f64 x) 3))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 1 (pow.f64 (exp.f64 x) 3))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(expm1.f64 (*.f64 3 x))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1))
(expm1.f64 (*.f64 3 x))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2))
(expm1.f64 (*.f64 3 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (pow.f64 (exp.f64 x) 6)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3/2) 1) (-.f64 (pow.f64 (exp.f64 x) 3/2) 1))
(expm1.f64 (*.f64 3 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))) (+.f64 -1 (pow.f64 (exp.f64 x) 9))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) -1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (pow.f64 (exp.f64 x) 6)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (*.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1) (+.f64 (pow.f64 (exp.f64 x) 3) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (pow.f64 (exp.f64 x) 6)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 9)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 6))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 6) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (pow.f64 (exp.f64 x) 6)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 -1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 -1 (pow.f64 (exp.f64 x) 6)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 6)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 1)
(expm1.f64 (*.f64 3 x))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3)
(expm1.f64 (*.f64 3 x))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3) 1/3)
(expm1.f64 (*.f64 3 x))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)
(expm1.f64 (*.f64 3 x))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 2))
(expm1.f64 (*.f64 3 x))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(expm1.f64 (*.f64 3 x))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3))
(expm1.f64 (*.f64 3 x))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(expm1.f64 (*.f64 3 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1))
(expm1.f64 (*.f64 3 x))
(fma.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x) -1)
(expm1.f64 (*.f64 3 x))
(fma.f64 1 (pow.f64 (exp.f64 x) 3) -1)
(expm1.f64 (*.f64 3 x))
(fma.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2) -1)
(expm1.f64 (*.f64 3 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))))
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
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(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
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(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
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(*.f64 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))
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(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
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(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
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(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(*.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 2)) (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
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(pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 1)
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) -1)
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 3)
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(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) 3) 1/3)
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
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(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (expm1.f64 (*.f64 3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 3 x)))
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(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 3)
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 3) 1/3)
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 2)
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(neg.f64 (/.f64 -1 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)) -2))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2))))) 3))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) 3) (pow.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) 3)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))) (+.f64 (pow.f64 (exp.f64 x) 3) -1))) -1))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))) 1))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (log.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (*.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (expm1.f64 (*.f64 3 x)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x 2)))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 x) 2)
(*.f64 (exp.f64 (*.f64 x 2)) 1)
(pow.f64 (exp.f64 x) 2)
(*.f64 1 (exp.f64 (*.f64 x 2)))
(pow.f64 (exp.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 x)))
(pow.f64 (exp.f64 x) 2)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 4)))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(pow.f64 (exp.f64 x) 2)
(*.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) 2)
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(pow.f64 (exp.f64 x) 2)
(log.f64 (exp.f64 (exp.f64 (*.f64 x 2))))
(pow.f64 (exp.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 x 2)))))
(pow.f64 (exp.f64 x) 2)
(cbrt.f64 (pow.f64 (exp.f64 x) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 x 2))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 x 2))))
(pow.f64 (exp.f64 x) 2)
(exp.f64 (*.f64 x 2))
(pow.f64 (exp.f64 x) 2)
(exp.f64 (*.f64 (*.f64 x 2) 1))
(pow.f64 (exp.f64 x) 2)

eval95.0ms (2%)

Compiler

Compiled 5201 to 3747 computations (28% saved)

prune154.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2184222
Fresh000
Picked112
Done011
Total2196225
Accuracy
100.0%
Counts
225 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
97.3%
(/.f64 1 (/.f64 1 x))
98.6%
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
99.2%
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
100.0%
(expm1.f64 x)
97.6%
x
Compiler

Compiled 50 to 41 computations (18% saved)

localize532.0ms (11.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 x) 1)
99.7%
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
9.0%
(+.f64 (exp.f64 (*.f64 x 3)) -1)
99.7%
(/.f64 1 (/.f64 1 x))
99.7%
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
100.0%
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
99.7%
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
99.4%
(*.f64 1/12 x)
Compiler

Compiled 141 to 105 computations (25.5% saved)

series29.0ms (0.6%)

Counts
8 → 75
Calls

24 calls:

TimeVariablePointExpression
10.0ms
x
@0
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
2.0ms
x
@-inf
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
1.0ms
x
@inf
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))

rewrite212.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
883×log1p-expm1-u
266×associate-*r*
214×expm1-log1p-u
212×add-cube-cbrt
211×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030226
1489220
26910220
Stop Event
node limit
Counts
8 → 254
Calls
Call 1
Inputs
(*.f64 1/12 x)
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
(/.f64 1 (/.f64 1 x))
(/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(+.f64 (exp.f64 x) 1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(/.f64 1/12 (/.f64 1 x))
(/.f64 -1/12 (/.f64 -1 x))
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (+.f64 1/4 (*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))
(pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 -1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 1/12 x (/.f64 -1 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
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x
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 1) (+.f64 (pow.f64 (exp.f64 3) x) -1))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)))
(*.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) -1)) (+.f64 1 (neg.f64 (pow.f64 (exp.f64 3) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (+.f64 1 (exp.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (-.f64 (expm1.f64 (*.f64 x 2)) (exp.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 2)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) 3) (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (log.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 3) x))))
(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 3) x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)

simplify180.0ms (3.9%)

Algorithm
egg-herbie
Rules
1058×fma-neg
902×log-prod
792×exp-prod
572×fma-define
486×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064612247
1158111783
2614311775
Stop Event
node limit
Counts
329 → 397
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 12 x)
(+.f64 (*.f64 12 (/.f64 1 x)) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 x)))))
(/.f64 12 x)
(+.f64 (*.f64 12 (/.f64 1 x)) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 x)))))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(/.f64 1/12 (/.f64 1 x))
(/.f64 -1/12 (/.f64 -1 x))
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (+.f64 1/4 (*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))
(pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 -1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 3) x) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 3) x) -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1))) -1) (pow.f64 (/.f64 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 2)) (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (/.f64 1 (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (hypot.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 1) (+.f64 (pow.f64 (exp.f64 3) x) -1))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)))
(*.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) -1)) (+.f64 1 (neg.f64 (pow.f64 (exp.f64 3) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (+.f64 1 (exp.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (-.f64 (expm1.f64 (*.f64 x 2)) (exp.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 2)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) 3) (pow.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 3) x) -1))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (log.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 3) x))))
(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 3) x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
Outputs
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(/.f64 12 x)
(+.f64 (*.f64 12 (/.f64 1 x)) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 12 x) (/.f64 72 (pow.f64 x 2)))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))) (/.f64 12 x))
(+.f64 (/.f64 12 x) (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))) (+.f64 (/.f64 12 x) (/.f64 864 (pow.f64 x 4))))
(+.f64 (/.f64 288 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 12 x) (/.f64 864 (pow.f64 x 4))) (/.f64 72 (pow.f64 x 2))))
(/.f64 12 x)
(+.f64 (*.f64 12 (/.f64 1 x)) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 12 x) (/.f64 72 (pow.f64 x 2)))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (*.f64 12 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))) (/.f64 12 x))
(+.f64 (/.f64 12 x) (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))))
(+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 864 (/.f64 1 (pow.f64 x 4))) (*.f64 12 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 72 (pow.f64 x 2)) (/.f64 288 (pow.f64 x 3))) (+.f64 (/.f64 12 x) (/.f64 864 (pow.f64 x 4))))
(+.f64 (/.f64 288 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 12 x) (/.f64 864 (pow.f64 x 4))) (/.f64 72 (pow.f64 x 2))))
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/4 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 (pow.f64 x 3) 1/4 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 3) 1/4 (*.f64 1/2 (pow.f64 x 2)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 4 x)))
(+.f64 -2 (/.f64 -4 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 x)) (/.f64 8 (pow.f64 x 2))))
(-.f64 -2 (+.f64 (/.f64 4 x) (/.f64 8 (pow.f64 x 2))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 4 x)))
(+.f64 -2 (/.f64 -4 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 x)) (/.f64 8 (pow.f64 x 2))))
(-.f64 -2 (+.f64 (/.f64 4 x) (/.f64 8 (pow.f64 x 2))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 16 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 4 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 16 (pow.f64 x 3)))))
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(fma.f64 (pow.f64 x 3) -1/720 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(fma.f64 (pow.f64 x 3) -1/720 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) (-.f64 (exp.f64 (*.f64 3 x)) 1))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 3)))
(/.f64 (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (expm1.f64 (*.f64 x 3)))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (exp.f64 (*.f64 3 x)) 1) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 2) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))) 2))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(/.f64 1/12 (/.f64 1 x))
(*.f64 x 1/12)
(/.f64 -1/12 (/.f64 -1 x))
(*.f64 x 1/12)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 x)) 1))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))))
(*.f64 1 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(*.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2) -2)) (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2) -2)) (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))))
(*.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)) -2)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))) -2)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) -1/8)) (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) (+.f64 1/4 (*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8)) (+.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) 1/4) (*.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (fma.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)) 1/4)) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3) -1/8))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) -1/4)) (+.f64 (fma.f64 1/12 x (/.f64 1 x)) 1/2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4)) (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x))) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) -1/4))
(pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 1)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 3)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3) 1/3)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -1/2) 2)
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(neg.f64 (/.f64 -1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2) -2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2) -2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)))))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) 3))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)) -1))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2))) 1))
(/.f64 1 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 -1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 -1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 -1/12 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 -1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (+.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 -1/12 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))) 1))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 3) x) -1)) (log.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (*.f64 x 3)) (+.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 -1 (+.f64 2 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 1 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 3) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))
(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (*.f64 x 2))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 3) x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (exp.f64 x))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 3) x))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(*.f64 1 (/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (expm1.f64 x)))
(*.f64 1 (/.f64 (expm1.f64 (*.f64 x 2)) (expm1.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 1 (exp.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 1 (exp.f64 x))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 -1 (+.f64 2 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))

eval187.0ms (4%)

Compiler

Compiled 8534 to 6667 computations (21.9% saved)

prune168.0ms (3.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4480448
Fresh000
Picked044
Done022
Total4486454
Accuracy
100.0%
Counts
454 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
97.3%
(/.f64 1 (/.f64 1 x))
98.6%
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
99.2%
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
100.0%
(expm1.f64 x)
97.6%
x
Compiler

Compiled 117 to 92 computations (21.4% saved)

regimes15.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(/.f64 1 (/.f64 (+.f64 (exp.f64 (*.f64 x 2)) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)) (+.f64 (exp.f64 (*.f64 x 3)) -1)))
Outputs
(expm1.f64 x)
Calls

3 calls:

10.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (/.f64 1 x))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
Outputs
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.2b remaining (-11%)

Threshold costs -0.2b (-11%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(/.f64 1 (/.f64 1 x))
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771
12771
23271
33471
43571
Stop Event
done
saturated
Calls
Call 1
Inputs
(expm1.f64 x)
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
x
Outputs
(expm1.f64 x)
(/.f64 1 (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(/.f64 1 (-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2))
(/.f64 1 (-.f64 (/.f64 1 x) 1/2))
x
Compiler

Compiled 25 to 20 computations (20% saved)

soundness319.0ms (6.9%)

Rules
1178×fma-define
1000×fma-define
867×log1p-expm1-u
866×expm1-log1p-u
820×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37444
411944
523644
653944
7162144
8463944
068
1428
24248
346398
Stop Event
node limit
node limit
Compiler

Compiled 267 to 177 computations (33.7% saved)

end0.0ms (0%)

preprocess44.0ms (0.9%)

Compiler

Compiled 60 to 46 computations (23.3% saved)

Profiling

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