NMSE Section 6.1 mentioned, A

Time bar (total: 17.9s)

analyze28.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%0%1.2%9
93.7%92.5%6.2%0.1%0%0%1.2%10
96.8%94.9%3.1%0.1%0%0%1.9%11
96.8%94.9%3.1%0.1%0%0%1.9%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample2.1s (11.6%)

Results
599.0ms3519×body256infinite
597.0ms1201×body1024valid
489.0ms2825×body256valid
160.0ms557×body512valid
122.0ms904×body256unsamplable
94.0ms128×body2048valid
8.0ms18×body1024infinite
2.0msbody512infinite
Bogosity

preprocess297.0ms (1.7%)

Algorithm
egg-herbie
Rules
1694×div-sub
1486×times-frac
1224×fma-def
782×associate-/l*
646×sub-neg
Problems
180×No Errors
75×(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067543
1193511
2583470
31931470
46675470
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 -1 x)) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 (neg.f64 x) -1)) eps))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
Symmetry

(abs eps)

Compiler

Compiled 175 to 132 computations (24.6% saved)

eval1.0ms (0%)

Compiler

Compiled 84 to 63 computations (25% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
50.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
64.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
50.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 176 to 136 computations (22.7% saved)

localize5.6s (31.3%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
71.6%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))
100.0%
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
100.0%
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
71.6%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
71.6%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 362 to 232 computations (35.9% saved)

series146.0ms (0.8%)

Counts
10 → 240
Calls

60 calls:

TimeVariablePointExpression
31.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))))
30.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
18.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))))
16.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
10.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)

rewrite187.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
328×log1p-expm1-u
328×expm1-log1p-u
325×add-exp-log
325×add-log-exp
319×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040522
1772486
Stop Event
node limit
Counts
10 → 257
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))))
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(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 1 (+.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 eps)))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(exp.f64 (*.f64 x (+.f64 1 eps)))
(exp.f64 (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))

simplify348.0ms (1.9%)

Algorithm
egg-herbie
Rules
1282×fma-def
1232×associate-*r*
584×associate-+r+
576×associate-+l+
496×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078143357
1225637521
Stop Event
node limit
Counts
497 → 501
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x)))) (*.f64 1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x))))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1))))))))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))))
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps))
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps))
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)))) 1)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
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1
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(exp.f64 (*.f64 x (+.f64 1 eps)))
(exp.f64 (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
Outputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (*.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (*.f64 1/24 (pow.f64 x 4)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120)))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 4)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 5)))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x)))) (*.f64 1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x))))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (*.f64 1/24 (pow.f64 x 4)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (*.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 eps 2) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))) (fma.f64 (pow.f64 eps 4) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 4)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 -1/120 (pow.f64 x 5))))) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 6)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 -1/5040 (pow.f64 x 7))))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) (/.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) (/.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) (/.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps)))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2)
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))))
(+.f64 2 (fma.f64 x (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) (*.f64 (pow.f64 x 2) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (pow.f64 x 2) 1/2) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps)))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1))))))))
(+.f64 2 (fma.f64 x (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) (fma.f64 (pow.f64 x 2) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 -1 (/.f64 1 eps)))))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 x 3) (*.f64 -1/6 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 1 (/.f64 -1 eps))))) (*.f64 (*.f64 (pow.f64 x 2) 1/2) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1 (/.f64 1 eps))))))))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))) (+.f64 -1 (/.f64 1 eps))))
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2
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1
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1
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(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (exp.f64 (+.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))) (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))) (exp.f64 (fma.f64 x (+.f64 eps 1) (log1p.f64 (/.f64 1 eps))))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(fabs.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 eps))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 eps))) (*.f64 2 x))
(*.f64 (pow.f64 1 (+.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 eps 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps 1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 eps)))
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(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
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(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (+.f64 -1 eps)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 (*.f64 2 eps)))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 x (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(exp.f64 (fma.f64 x eps x))

eval437.0ms (2.4%)

Compiler

Compiled 23074 to 16297 computations (29.4% saved)

prune283.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4929501
Fresh000
Picked213
Done000
Total49410504
Accuracy
100.0%
Counts
504 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(/.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3) 1/3) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
39.5%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
42.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
99.0%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
41.5%
(/.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3) 1/3) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
39.5%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
42.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
99.0%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
Compiler

Compiled 794 to 632 computations (20.4% saved)

localize541.0ms (3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
100.0%
(*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))
99.9%
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
66.6%
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
72.4%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 x (neg.f64 (+.f64 eps 1)))
100.0%
(exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
Compiler

Compiled 413 to 279 computations (32.4% saved)

series14.0ms (0.1%)

Counts
10 → 216
Calls

54 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
x
@0
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
1.0ms
eps
@0
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@-inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@0
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))

rewrite114.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
329×add-exp-log
324×add-log-exp
324×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040408
1793372
Stop Event
node limit
Counts
10 → 278
Calls
Call 1
Inputs
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))
(*.f64 x (neg.f64 (+.f64 eps 1)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
(*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (pow.f64 1 (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (-.f64 1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (-.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 x)) (-.f64 1 eps)))
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (*.f64 (-.f64 1 eps) 1))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 x))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 1))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 1) (*.f64 x (+.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 eps)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
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(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))

simplify328.0ms (1.8%)

Algorithm
egg-herbie
Rules
1106×associate-*r*
948×fma-def
902×associate-*l*
536×distribute-rgt-in
520×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078327550
1231125628
Stop Event
node limit
Counts
494 → 450
Calls
Call 1
Inputs
1
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1
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2
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1
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2
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) 3) (pow.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) 2) (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) 3) (pow.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) 2) (-.f64 (*.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(pow.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(fma.f64 1 (/.f64 1 eps) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 (fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1) 1) 1)
(pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (*.f64 (-.f64 1 eps) -1) (*.f64 (-.f64 1 eps) (/.f64 1 eps)))
(+.f64 (*.f64 -1 (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 -1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (+.f64 1 eps) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 1 eps) (-.f64 -1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps 3))) (*.f64 (-.f64 -1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (-.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) -1) 3) (pow.f64 (*.f64 (-.f64 1 eps) (/.f64 1 eps)) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 eps) -1) (*.f64 (-.f64 1 eps) -1)) (-.f64 (*.f64 (*.f64 (-.f64 1 eps) (/.f64 1 eps)) (*.f64 (-.f64 1 eps) (/.f64 1 eps))) (*.f64 (*.f64 (-.f64 1 eps) -1) (*.f64 (-.f64 1 eps) (/.f64 1 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1 (-.f64 1 eps)) 3) (pow.f64 (*.f64 (/.f64 1 eps) (-.f64 1 eps)) 3)) (+.f64 (*.f64 (*.f64 -1 (-.f64 1 eps)) (*.f64 -1 (-.f64 1 eps))) (-.f64 (*.f64 (*.f64 (/.f64 1 eps) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (-.f64 1 eps))) (*.f64 (*.f64 -1 (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (-.f64 1 eps))))))
(pow.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (-.f64 1 eps) -1 (*.f64 (-.f64 1 eps) (/.f64 1 eps)))
(fma.f64 -1 (-.f64 1 eps) (*.f64 (/.f64 1 eps) (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 x))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 1))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 1) (*.f64 x (+.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (exp.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (-.f64 x 1) (exp.f64 x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) 1)) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 1 (fma.f64 x x -1)) (*.f64 (exp.f64 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(+.f64 1 (*.f64 x (+.f64 -1 eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))

eval353.0ms (2%)

Compiler

Compiled 17601 to 12918 computations (26.6% saved)

prune212.0ms (1.2%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New52411535
Fresh134
Picked325
Done011
Total52817545
Accuracy
100.0%
Counts
545 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(/.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3) 1/3) 2)
1.9%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
15.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
94.5%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
67.3%
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
40.4%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
67.7%
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
70.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
10.1%
(/.f64 (*.f64 x eps) 2)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
41.5%
(/.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3) 1/3) 2)
1.9%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
15.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
94.5%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
67.3%
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
40.4%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
67.7%
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
70.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
10.1%
(/.f64 (*.f64 x eps) 2)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
Compiler

Compiled 1070 to 840 computations (21.5% saved)

localize446.0ms (2.5%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
66.8%
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(*.f64 x (neg.f64 (+.f64 eps 1)))
100.0%
(-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))))
100.0%
(exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))
100.0%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
100.0%
(/.f64 (expm1.f64 (neg.f64 x)) eps)
100.0%
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
100.0%
(exp.f64 (*.f64 (neg.f64 eps) x))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
Compiler

Compiled 259 to 147 computations (43.2% saved)

series13.0ms (0.1%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@0
(/.f64 (expm1.f64 (neg.f64 x)) eps)
0.0ms
x
@inf
(/.f64 (expm1.f64 (neg.f64 x)) eps)
0.0ms
x
@-inf
(/.f64 (expm1.f64 (neg.f64 x)) eps)
0.0ms
eps
@inf
(/.f64 (expm1.f64 (neg.f64 x)) eps)

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
328×log1p-expm1-u
327×expm1-log1p-u
321×add-exp-log
320×add-log-exp
319×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039246
1728210
Stop Event
node limit
Counts
6 → 175
Calls
Call 1
Inputs
(exp.f64 (*.f64 (neg.f64 eps) x))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Outputs
(-.f64 0 (pow.f64 (exp.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 -1 (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(/.f64 1 (pow.f64 (exp.f64 x) eps))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 0 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (*.f64 0 (pow.f64 (exp.f64 x) eps)))))
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 eps) (*.f64 x 1))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) (*.f64 eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1))) (fma.f64 (pow.f64 (exp.f64 x) eps) 1 (*.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) -1))) (fma.f64 (pow.f64 (exp.f64 x) eps) -1 (*.f64 (pow.f64 (exp.f64 x) eps) -1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1))) (fma.f64 (pow.f64 (exp.f64 x) eps) 1 (*.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) -1))) (fma.f64 (pow.f64 (exp.f64 x) eps) -1 (*.f64 (pow.f64 (exp.f64 x) eps) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1))) (fma.f64 (pow.f64 (exp.f64 x) eps) 1 (*.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) -1))) (fma.f64 (pow.f64 (exp.f64 x) eps) -1 (*.f64 (pow.f64 (exp.f64 x) eps) -1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (*.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (*.f64 eps x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (*.f64 eps x))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (exp.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps))) 1)
(-.f64 (/.f64 (exp.f64 x) eps) (/.f64 1 eps))
(*.f64 1 (/.f64 (expm1.f64 x) eps))
(*.f64 (expm1.f64 x) (/.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (pow.f64 eps -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (sqrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) eps))
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(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(fma.f64 1 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))

simplify214.0ms (1.2%)

Algorithm
egg-herbie
Rules
1456×fma-neg
884×fma-def
764×associate-*r*
686×associate-*l*
542×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064319088
1180816171
2708316141
Stop Event
node limit
Counts
319 → 387
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(+.f64 2 (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 -1 (-.f64 1 eps)))))
(+.f64 2 (+.f64 (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 -1 (-.f64 1 eps)))) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (+.f64 (*.f64 x (+.f64 (*.f64 -1 eps) (*.f64 -1 (-.f64 1 eps)))) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(*.f64 -1 (/.f64 x eps))
(+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(*.f64 -1/2 (/.f64 x eps))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
2
(+.f64 2 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 (*.f64 -1 eps) 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 (*.f64 -1 eps) 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 (*.f64 -1 eps) 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 (*.f64 -1 eps) 1))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (/.f64 1 eps))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (/.f64 1 eps))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(*.f64 eps x)
(-.f64 (+.f64 1 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
2
(+.f64 2 (*.f64 x (-.f64 eps (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (*.f64 x (-.f64 eps (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1)))) (*.f64 x (-.f64 eps (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 eps x)
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(+.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))
(+.f64 (fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2))))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)))
(+.f64 (fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2))))
(*.f64 1 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 2) (cbrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (*.f64 (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (*.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 3) (pow.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 3) (pow.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) 2) (-.f64 (*.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))
(pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(fma.f64 1 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (*.f64 (neg.f64 eps) x))
(-.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 (-.f64 1 (*.f64 eps x)) (*.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (*.f64 (neg.f64 eps) x))
(-.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 (-.f64 1 (*.f64 eps x)) (*.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 x (neg.f64 eps)))
2
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2
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(*.f64 eps x)
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2
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(fma.f64 x (+.f64 eps (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
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(*.f64 eps x)
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(*.f64 eps x)
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(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))) 1))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 1 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x 1))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 eps x 1) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 (neg.f64 (/.f64 1 eps)) 1)))
(fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (hypot.f64 (sqrt.f64 (fma.f64 eps x 1)) (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 (fma.f64 eps x 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps x 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (fma.f64 eps x (/.f64 1 eps))))
(-.f64 (fma.f64 eps x 1) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 eps)))

eval350.0ms (1.9%)

Compiler

Compiled 15654 to 10085 computations (35.6% saved)

prune249.0ms (1.4%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New6159624
Fresh459
Picked235
Done033
Total62120641
Accuracy
100.0%
Counts
641 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
19.5%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
67.7%
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
48.6%
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps)))))) 2)
69.9%
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
67.4%
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
94.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
52.8%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
34.0%
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
40.4%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
70.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
10.1%
(/.f64 (*.f64 x eps) 2)
2.6%
(/.f64 (*.f64 x -1/2) eps)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
15.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
19.5%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
67.7%
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
48.6%
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps)))))) 2)
69.9%
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
67.4%
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
94.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
52.8%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
34.0%
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
40.4%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
70.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
10.1%
(/.f64 (*.f64 x eps) 2)
2.6%
(/.f64 (*.f64 x -1/2) eps)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
Compiler

Compiled 1052 to 822 computations (21.9% saved)

localize617.0ms (3.4%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
66.6%
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
100.0%
(exp.f64 (*.f64 x (+.f64 -1 eps)))
100.0%
(*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))
99.9%
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
100.0%
(+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
100.0%
(exp.f64 (*.f64 x (+.f64 -1 eps)))
Compiler

Compiled 305 to 179 computations (41.3% saved)

series10.0ms (0.1%)

Counts
7 → 168
Calls

42 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
x
@inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@0
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
x
@0
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@inf
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite108.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
442×associate-*r*
274×log1p-expm1-u
274×expm1-log1p-u
267×add-exp-log
267×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031302
1577282
Stop Event
node limit
Counts
7 → 248
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1))
Outputs
(-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 1)
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 (*.f64 x -1)) (pow.f64 (exp.f64 x) eps))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
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(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 1 (-.f64 (fma.f64 x eps (/.f64 x eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 -1 (/.f64 -1 eps))))))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (neg.f64 (/.f64 -1 eps)))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 1 (-.f64 (fma.f64 x eps (/.f64 x eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 -1 (/.f64 -1 eps))))))
(-.f64 (*.f64 x eps) (-.f64 (+.f64 (/.f64 x eps) -1) (/.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))) 1)
(-.f64 (/.f64 (pow.f64 eps -2) (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps)))) (/.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps)))))
(-.f64 (+.f64 (/.f64 -1 eps) (*.f64 x eps)) (+.f64 (/.f64 x eps) -1))
(*.f64 1 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 2) (cbrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(*.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2)) (/.f64 1 (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))) (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps))) (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3)) (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2)) (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1))) (*.f64 eps (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)))
(/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1))) (*.f64 eps (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) 1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) -1)) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) eps))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) 1)) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2))) (neg.f64 (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3) (pow.f64 eps -3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (-.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps)))) (-.f64 1 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (pow.f64 eps -2)) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (-.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 1))
(pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(exp.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(fma.f64 1 (/.f64 -1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(fma.f64 1 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))

simplify172.0ms (1%)

Algorithm
egg-herbie
Rules
1240×fma-def
912×associate-*r*
846×associate-*l*
576×associate-+l+
574×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072427189
1210926008
Stop Event
node limit
Counts
416 → 481
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 x (-.f64 eps 1)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1))))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
1
(+.f64 1 (*.f64 x (-.f64 eps 1)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1))))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
2
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(fma.f64 1 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
Outputs
1
(+.f64 1 (*.f64 x (-.f64 eps 1)))
(+.f64 1 (*.f64 x (+.f64 eps -1)))
(fma.f64 x (+.f64 eps -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1))))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x (+.f64 eps -1))))
(+.f64 (fma.f64 x (+.f64 eps -1) 1) (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x (+.f64 eps -1)))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)) (fma.f64 x (+.f64 eps -1) (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 1/2 (pow.f64 x 2))))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))
(*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))))) (*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps))))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (neg.f64 (*.f64 x eps)))
(-.f64 1 (*.f64 x eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (*.f64 eps (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2))))))
(+.f64 (-.f64 1 (*.f64 x eps)) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) -1/6))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (neg.f64 (*.f64 x eps)))
(-.f64 1 (*.f64 x eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)))))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (*.f64 eps (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 3)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2))))))
(+.f64 (-.f64 1 (*.f64 x eps)) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) -1/6))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)))
(+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1)))
(fma.f64 x -1 2)
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))))))
(+.f64 2 (fma.f64 x (+.f64 (*.f64 0 eps) -1) (*.f64 (pow.f64 x 2) (*.f64 1/2 (+.f64 (pow.f64 eps 2) (pow.f64 (+.f64 eps -1) 2))))))
(+.f64 2 (fma.f64 (pow.f64 x 2) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 eps -1) 2))) (neg.f64 x)))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)))))))
(+.f64 2 (fma.f64 x (+.f64 (*.f64 0 eps) -1) (fma.f64 (pow.f64 x 2) (*.f64 1/2 (+.f64 (pow.f64 eps 2) (pow.f64 (+.f64 eps -1) 2))) (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/6 (pow.f64 (+.f64 eps -1) 3)))))))
(+.f64 (fma.f64 x -1 2) (fma.f64 (pow.f64 x 2) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 eps -1) 2))) (*.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) (*.f64 (pow.f64 eps 3) -1/6)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 -1 x (*.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 -1 x (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))) (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 1/2 (*.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 -1 x (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 eps 2) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))) (pow.f64 x 2))) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (*.f64 1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x)))))))))
(+.f64 1 (+.f64 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 2) (*.f64 1/2 (*.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (pow.f64 x 2))) (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 x 3) -1/6))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps)))) (exp.f64 (neg.f64 (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 eps)) x))
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(+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps)))) (exp.f64 (neg.f64 (*.f64 x eps))))
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(/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (fma.f64 eps (+.f64 1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1))) (*.f64 eps (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps (neg.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (-.f64 (fma.f64 eps (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) eps) (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) 1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (fma.f64 eps (+.f64 1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (-.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) -1)) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) eps))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) eps (neg.f64 (+.f64 -1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) (-.f64 1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) 1)) (*.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) eps))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3)) (neg.f64 (+.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (+.f64 1 (-.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) 3)) (fma.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 1 eps))) (pow.f64 eps -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2))) (neg.f64 (-.f64 (-.f64 (/.f64 -1 eps) 1) (fma.f64 x eps (/.f64 x eps)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2)) (neg.f64 (-.f64 (/.f64 -1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 eps -2)) (pow.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) 2)) (+.f64 (/.f64 1 eps) (+.f64 (fma.f64 x eps 1) (/.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3) (pow.f64 eps -3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (-.f64 (pow.f64 eps -2) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (-.f64 (pow.f64 eps -2) (*.f64 (/.f64 -1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) 3)) (+.f64 (pow.f64 eps -2) (+.f64 (*.f64 (/.f64 1 eps) (+.f64 (fma.f64 x eps 1) (/.f64 x eps))) (pow.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps)))) (-.f64 1 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 3)) (fma.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (-.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)) 3)) (-.f64 (fma.f64 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)) (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)) 1) (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (pow.f64 eps -2)) (-.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 2) (pow.f64 eps -2)) (+.f64 1 (-.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x eps 1) (/.f64 x eps)) 2) (pow.f64 eps -2)) (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 1 eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (-.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) 1))
(/.f64 (fma.f64 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))) -1) (+.f64 (/.f64 -1 eps) (-.f64 (fma.f64 x eps (/.f64 x eps)) 1)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)) (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)) -1) (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 -1 (/.f64 -1 eps))))
(pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 1)
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 3)
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 2)
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps)))) 2))
(fabs.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps))))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps))) 3))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(exp.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))) 1))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (/.f64 -1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(fma.f64 1 (/.f64 -1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(fma.f64 1 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 x eps 1) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (/.f64 -1 eps) (fma.f64 x eps (/.f64 x eps))))
(+.f64 1 (+.f64 (fma.f64 x eps (/.f64 -1 eps)) (/.f64 x eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 x eps 1) (/.f64 x eps)))

eval494.0ms (2.8%)

Compiler

Compiled 19974 to 12679 computations (36.5% saved)

prune158.0ms (0.9%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New6688676
Fresh549
Picked145
Done066
Total67422696
Accuracy
100.0%
Counts
696 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
19.5%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
40.0%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
71.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
70.2%
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
54.3%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
67.7%
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
94.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
67.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
33.8%
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
52.8%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
40.4%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
53.2%
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
45.0%
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 eps -1)))) (sqrt.f64 (*.f64 x (+.f64 eps -1))))) 2)
70.0%
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
70.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
10.1%
(/.f64 (*.f64 x eps) 2)
2.6%
(/.f64 (*.f64 x -1/2) eps)
46.8%
(/.f64 2 2)
10.0%
(/.f64 0 2)
Compiler

Compiled 969 to 706 computations (27.1% saved)

regimes68.0ms (0.4%)

Counts
41 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 eps -1)))) (sqrt.f64 (*.f64 x (+.f64 eps -1))))) 2)
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3) 1/3) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
Calls

4 calls:

20.0ms
eps
20.0ms
x
10.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
99.0%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
99.0%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 712 to 507 computations (28.8% saved)

regimes64.0ms (0.4%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
Outputs
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
Calls

2 calls:

30.0ms
eps
17.0ms
x
Results
AccuracySegmentsBranch
94.5%1x
99.8%2eps
Compiler

Compiled 437 to 301 computations (31.1% saved)

regimes49.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
Calls

2 calls:

24.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
94.5%1x
94.5%1eps
Compiler

Compiled 420 to 292 computations (30.5% saved)

regimes135.0ms (0.8%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (E.f64) (*.f64 x (+.f64 1 eps))))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2)
Calls

2 calls:

99.0ms
eps
27.0ms
x
Results
AccuracySegmentsBranch
90.9%2x
79.3%8eps
Compiler

Compiled 390 to 278 computations (28.7% saved)

regimes36.0ms (0.2%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (+.f64 1 (*.f64 x (-.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (-.f64 (*.f64 x eps) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
90.9%2x
Compiler

Compiled 364 to 258 computations (29.1% saved)

regimes18.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
84.0%2x
Compiler

Compiled 116 to 86 computations (25.9% saved)

regimes26.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 2 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
75.8%3x
Compiler

Compiled 107 to 79 computations (26.2% saved)

regimes31.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Calls

2 calls:

14.0ms
x
13.0ms
eps
Results
AccuracySegmentsBranch
55.6%2eps
69.9%2x
Compiler

Compiled 103 to 77 computations (25.2% saved)

regimes26.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(/.f64 0 2)
(/.f64 (*.f64 x eps) 2)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
64.4%3x
Compiler

Compiled 94 to 71 computations (24.5% saved)

regimes20.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (/.f64 (neg.f64 x) eps)) 2)
Outputs
(/.f64 2 2)
(/.f64 0 2)
(/.f64 (*.f64 x eps) 2)
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
57.9%3x
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes12.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x -1/2) eps)
Outputs
(/.f64 2 2)
(/.f64 0 2)
Calls

2 calls:

6.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
46.8%1eps
54.1%2x
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
Outputs
(/.f64 0 2)
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
10.0%1eps
10.0%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
52.183668627623554
391.3608374624438
Results
9.0ms59×body256valid
7.0ms37×body256infinite
Compiler

Compiled 258 to 191 computations (26% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
21.0ms
-2.781533410467729e-260
-1.1943887399471285e-260
Results
8.0ms51×body256valid
6.0ms11×body1024valid
3.0msbody2048valid
2.0msbody512valid
1.0msbody256infinite
Compiler

Compiled 166 to 139 computations (16.3% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
-2.781533410467729e-260
-1.1943887399471285e-260
Results
9.0ms18×body1024valid
7.0ms45×body256valid
3.0ms10×body512valid
1.0msbody2048valid
1.0msbody256infinite
Compiler

Compiled 161 to 134 computations (16.8% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
1.389162807907471e-21
350.1979811673329
Results
17.0ms106×body256infinite
17.0ms33×body1024valid
5.0ms16×body512valid
3.0ms17×body256valid
3.0msbody2048valid
Compiler

Compiled 267 to 216 computations (19.1% saved)

bsearch90.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
1.389162807907471e-21
350.1979811673329
46.0ms
-21414443.45548826
-104.2792196942993
Results
34.0ms215×body256infinite
30.0ms38×body1024valid
8.0ms24×body512valid
4.0ms26×body256valid
4.0msbody1024infinite
3.0msbody2048valid
1.0msbody512infinite
Compiler

Compiled 345 to 298 computations (13.6% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
1.389162807907471e-21
350.1979811673329
Results
18.0ms105×body256infinite
16.0ms34×body1024valid
6.0ms20×body512valid
3.0ms15×body256valid
1.0msbody2048valid
Compiler

Compiled 278 to 227 computations (18.3% saved)

bsearch70.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.429749894935294e+125
3.231995536195263e+130
48.0ms
1.389162807907471e-21
350.1979811673329
Results
29.0ms185×body256infinite
14.0ms32×body1024valid
11.0ms69×body256valid
6.0msbody2048valid
4.0ms14×body512valid
Compiler

Compiled 357 to 312 computations (12.6% saved)

bsearch38.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
8.429749894935294e+125
3.231995536195263e+130
16.0ms
505765593963432.56
1095137834043659.5
Results
21.0ms115×body256infinite
14.0ms93×body256valid
Compiler

Compiled 208 to 185 computations (11.1% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
505765593963432.56
1095137834043659.5
Results
8.0ms51×body256infinite
4.0ms29×body256valid
Compiler

Compiled 96 to 89 computations (7.3% saved)

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
166×distribute-lft-neg-in
92×distribute-neg-in
92×neg-mul-1
80×neg-sub0
72×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092772
1134760
2171756
3208752
4242752
5271752
6289752
7303752
8327752
9378752
10421752
11446752
12461752
13478752
14502752
15532752
16565752
17589752
18596752
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(if (<=.f64 eps 53) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2))
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2))
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x -510) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 350) (/.f64 2 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2)))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (if (<=.f64 x 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248) (/.f64 0 2) (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 510000000000000) (/.f64 2 2) (if (<=.f64 x 31999999999999999942958194053927725311645723800301200013969386871358092860988948783907704516552593920312869630936053292039430733824) (/.f64 0 2) (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 510000000000000) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 x (-.f64 (neg.f64 eps) 1)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(if (<=.f64 eps 53) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2))
(if (<=.f64 eps 53) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 eps -1)))) 2))
(if (<=.f64 eps 53) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (exp.f64 (*.f64 x (neg.f64 eps)))) 2))
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2))
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (+.f64 eps -1)))) 2))
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2))
(if (<=.f64 x -830935449420167/69244620785013915169893880288577664649638356718206520148356066053544201755915040781030818563707002931730762300556198370198467059319135998738502644985094416224536059445117594392163977484884566481701992255745056886508490364387532700233026358315193005046436800875428314917896192) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) 1) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 350) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x -510) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 350) (/.f64 2 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2)))
(if (<=.f64 x -510) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 350) 1 (/.f64 (/.f64 (expm1.f64 x) eps) 2)))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 x (neg.f64 (+.f64 1 eps)))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 2) (/.f64 (-.f64 2 (*.f64 x (+.f64 1 eps))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 x (-.f64 -1 eps))) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (if (<=.f64 x 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248) (/.f64 0 2) (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 x (neg.f64 (+.f64 1 eps)))) 2) (if (<=.f64 x 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248) 0 (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 2) (/.f64 (-.f64 2 (*.f64 x (+.f64 1 eps))) 2) (if (<=.f64 x 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248) 0 (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 x (-.f64 -1 eps))) 2) (if (<=.f64 x 159999999999999992788657068559671577524803601398136385895674015720286167204658793954470242436768916813900358038191188974657077248) 0 (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 510000000000000) (/.f64 2 2) (if (<=.f64 x 31999999999999999942958194053927725311645723800301200013969386871358092860988948783907704516552593920312869630936053292039430733824) (/.f64 0 2) (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 510000000000000) 1 (if (<=.f64 x 31999999999999999942958194053927725311645723800301200013969386871358092860988948783907704516552593920312869630936053292039430733824) 0 (/.f64 (*.f64 x eps) 2)))
(if (<=.f64 x 510000000000000) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 510000000000000) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 240 to 184 computations (23.3% saved)

soundness3.0s (16.6%)

Rules
1694×div-sub
1694×div-sub
1486×times-frac
1486×times-frac
1456×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067543
1193511
2583470
31931470
46675470
078143357
1225637521
078143357
1225637521
078327550
1231125628
064319088
1180816171
2708316141
067543
1193511
2583470
31931470
46675470
078143357
1225637521
078143357
1225637521
078327550
1231125628
064319088
1180816171
2708316141
078327550
1231125628
039246
1728210
064319088
1180816171
2708316141
078327550
1231125628
031302
1577282
072427189
1210926008
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1771 to 1326 computations (25.1% saved)

end0.0ms (0%)

preprocess147.0ms (0.8%)

Compiler

Compiled 572 to 390 computations (31.8% saved)

Profiling

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