NMSE Section 6.1 mentioned, A

Time bar (total: 19.5s)

analyze29.0ms (0.1%)

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 (10.8%)

Results
656.0ms1120×body1024valid
566.0ms3582×body256infinite
451.0ms2825×body256valid
165.0ms578×body512valid
132.0ms1012×body256unsamplable
119.0ms136×body2048valid
8.0ms11×body1024infinite
1.0msbody512infinite
Bogosity

preprocess439.0ms (2.2%)

Algorithm
egg-herbie
Rules
700×associate-+r+
630×times-frac
506×fma-def
422×associate-/l*
354×associate-/r*
Problems
177×No Errors
77×(-.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)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067543
1200511
2600470
31784470
47042470
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 (+.f64 1 eps)) (neg.f64 x)))) 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 (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 (+.f64 1 eps)) (neg.f64 x)))) 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 (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 x) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (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 (-.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 (+.f64 1 eps)) (neg.f64 x)))) 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 (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 1 x)) (neg.f64 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)

eval2.0ms (0%)

Compiler

Compiled 109 to 78 computations (28.4% saved)

prune3.0ms (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)
70.8%
(/.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)
70.8%
(/.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 116 to 88 computations (24.1% saved)

localize1.5s (7.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(exp.f64 (fma.f64 eps x x))
99.6%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
93.4%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
70.5%
(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%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
99.6%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
99.6%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
70.9%
(-.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 234 to 147 computations (37.2% saved)

series70.0ms (0.4%)

Counts
8 → 176
Calls

48 calls:

TimeVariablePointExpression
27.0ms
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))))
18.0ms
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))))
6.0ms
eps
@0
(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))))
3.0ms
eps
@0
(-.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)))))
1.0ms
x
@0
(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))))

rewrite230.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
259×pow1
255×*-un-lft-identity
244×add-exp-log
244×associate-*r*
242×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034427
1604361
Stop Event
node limit
Counts
8 → 314
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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(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))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
Outputs
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(*.f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 1)
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))) (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2)) (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2)))
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(pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))) 3)
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(sqrt.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2))
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(exp.f64 (log.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
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(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
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(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
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(*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
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(*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))
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(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps))))
(*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 3)
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
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(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
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(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (exp.f64 x) (+.f64 (*.f64 (+.f64 eps -1) 1/2) (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 eps -1) 1/2))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 eps -1) 2))) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))

simplify321.0ms (1.6%)

Algorithm
egg-herbie
Rules
802×associate-*r*
654×associate-*l*
417×+-commutative
397×*-commutative
289×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076738100
1227637825
Stop Event
node limit
Counts
490 → 468
Calls
Call 1
Inputs
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2
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1
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(exp.f64 x)
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1
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(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 eps -1) 1/2))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 eps -1) 2))) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
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 x 1)) (*.f64 (*.f64 -1 (+.f64 x 1)) (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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1)) (-.f64 (*.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (pow.f64 x 2)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (*.f64 (*.f64 -1 (+.f64 x 1)) (exp.f64 (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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (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 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1)) (-.f64 (fma.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (pow.f64 x 2)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (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 (exp.f64 (neg.f64 x)) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))))) (*.f64 (*.f64 -1 (+.f64 x 1)) (exp.f64 (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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (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 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (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 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1)) (-.f64 (fma.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 1/2 (pow.f64 x 2)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (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 (exp.f64 (neg.f64 x)) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (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 (exp.f64 (neg.f64 x)) (*.f64 1/720 (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) -1/5040))))))) (*.f64 (*.f64 -1 (+.f64 x 1)) (exp.f64 (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 (neg.f64 x) (+.f64 eps 1)))))
(-.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 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) eps))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (fma.f64 -1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 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 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) eps))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (fma.f64 -1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 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 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) eps))))
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (fma.f64 -1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))) 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (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 (/.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) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (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 (/.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) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 (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 (/.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) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 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)))))))
(+.f64 2 (*.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.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 (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 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))))))
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2
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1
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(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(exp.f64 (neg.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 2)
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) 3)
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(neg.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (log.f64 (exp.f64 (+.f64 -1 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 eps x x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(*.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 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.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 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 x) (+.f64 (*.f64 (+.f64 eps -1) 1/2) (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 eps -1) 1/2))
(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 1/2 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 -1/2 (*.f64 eps 1/2)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 eps -1) 2))) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 -1 eps) 2))) (cbrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (/.f64 1 (exp.f64 (+.f64 eps 1))) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (sqrt.f64 x)) (sqrt.f64 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 eps 1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))

eval326.0ms (1.7%)

Compiler

Compiled 19700 to 12707 computations (35.5% saved)

prune104.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4599468
Fresh000
Picked202
Done000
Total4619470
Accuracy
100.0%
Counts
470 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.6%
(/.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) 2)
57.3%
(/.f64 (-.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)))))) 2)
38.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
57.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
31.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
32.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
99.7%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
43.5%
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
43.5%
(/.f64 2 2)
16.6%
(/.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) 2)
57.3%
(/.f64 (-.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)))))) 2)
38.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
57.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
31.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
32.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
99.7%
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
43.5%
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
43.5%
(/.f64 2 2)
Compiler

Compiled 780 to 612 computations (21.5% saved)

localize553.0ms (2.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(*.f64 (neg.f64 x) (+.f64 eps 1))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))
99.6%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
65.0%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1)))))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
99.6%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
71.1%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (neg.f64 x) (-.f64 1 eps))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1)))
100.0%
(*.f64 (neg.f64 x) (+.f64 eps 1))
Compiler

Compiled 377 to 242 computations (35.8% saved)

series15.0ms (0.1%)

Counts
11 → 252
Calls

63 calls:

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

rewrite318.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
341×+-commutative
244×pow1
228×add-log-exp
227×add-exp-log
223×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031422
1529353
27783353
Stop Event
node limit
Counts
11 → 411
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (+.f64 eps 1))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1)))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(-.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 1 eps) (neg.f64 x))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1)))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))
(*.f64 (neg.f64 x) (+.f64 eps 1))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 (fma.f64 x eps x) 0)
(+.f64 (*.f64 x eps) x)
(+.f64 0 (fma.f64 x eps x))
(+.f64 (*.f64 (*.f64 x eps) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (fma.f64 x (+.f64 eps 1) 1) 1)
(-.f64 (*.f64 x eps) x)
(-.f64 0 (fma.f64 x eps x))
(-.f64 (+.f64 (*.f64 x eps) 0) x)
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (pow.f64 x 2)) (fma.f64 x eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) x))))
(pow.f64 (fma.f64 x eps x) 1)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(neg.f64 (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 x eps x)))
(*.f64 (exp.f64 (fma.f64 x eps x)) 1)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
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(fma.f64 1 (+.f64 (/.f64 1 eps) -1) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (/.f64 1 eps) -1) 1 (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (fma.f64 x eps x) (+.f64 (/.f64 1 eps) -1)))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 (fma.f64 x eps x) 0)
(+.f64 (*.f64 x eps) x)
(+.f64 0 (fma.f64 x eps x))
(+.f64 (*.f64 (*.f64 x eps) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x)))))
(-.f64 (fma.f64 x (+.f64 eps 1) 1) 1)
(-.f64 (*.f64 x eps) x)
(-.f64 0 (fma.f64 x eps x))
(-.f64 (+.f64 (*.f64 x eps) 0) x)
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (pow.f64 x 2)) (fma.f64 x eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) x))))
(pow.f64 (fma.f64 x eps x) 1)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(neg.f64 (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(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)
(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)))))

simplify304.0ms (1.6%)

Algorithm
egg-herbie
Rules
592×associate-*r*
525×associate-*l*
462×+-commutative
403×distribute-lft-in
356×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088237410
1250535966
Stop Event
node limit
Counts
663 → 603
Calls
Call 1
Inputs
(*.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)))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.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)))
1
(+.f64 1 (*.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 (+.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))))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.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 (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))))))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (+.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)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
1
(+.f64 1 (*.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 (+.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))))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(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 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.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)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.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)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (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 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (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 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.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 (exp.f64 (*.f64 -1 x)) eps)))))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
2
(+.f64 2 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)))))))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(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 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.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)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
1
(+.f64 1 (*.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 (+.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))))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
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(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(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)
(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
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 x eps x))
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 1 (neg.f64 (fma.f64 x eps x)))
(+.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)))))
(+.f64 1 (fma.f64 -1 (fma.f64 x eps x) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2))))
(+.f64 1 (+.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 (fma.f64 -1 (*.f64 x (+.f64 1 eps)) (fma.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 (fma.f64 -1 (fma.f64 x eps x) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (/.f64 (*.f64 x eps) (exp.f64 x))))
(+.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 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (/.f64 (*.f64 x eps) (exp.f64 x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 x)))))
(+.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 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (/.f64 (*.f64 x eps) (exp.f64 x)) (fma.f64 -1/6 (/.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 x)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 x))))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (*.f64 x (neg.f64 (-.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)))))
(+.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.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 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (fma.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (fma.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 1/2 (pow.f64 x 2)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(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 (+.f64 (*.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 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 x))) (*.f64 (+.f64 (*.f64 x eps) 1) (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 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/6 (/.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 x)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 x)) (/.f64 (*.f64 x eps) (exp.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
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(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(exp.f64 (+.f64 x (log1p.f64 x)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 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)))

eval638.0ms (3.3%)

Compiler

Compiled 34039 to 23693 computations (30.4% saved)

prune217.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1034111045
Fresh314
Picked415
Done000
Total1041131054
Accuracy
100.0%
Counts
1054 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
57.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
67.3%
(/.f64 (-.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
21.5%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
38.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
19.8%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
42.6%
(/.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
85.3%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
29.5%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
10.9%
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
43.5%
(/.f64 2 2)
17.2%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
57.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
67.3%
(/.f64 (-.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
21.5%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
38.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
19.8%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
42.6%
(/.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
85.3%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
29.5%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
10.9%
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
43.5%
(/.f64 2 2)
Compiler

Compiled 942 to 774 computations (17.8% saved)

localize1.1s (5.5%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (neg.f64 x) (-.f64 1 eps))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))
99.8%
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
15.2%
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1)))))
100.0%
(+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
100.0%
(+.f64 1 (/.f64 1 eps))
100.0%
(*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))
99.8%
(*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
100.0%
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))
99.8%
(*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))
100.0%
(exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1)))
100.0%
(*.f64 (neg.f64 x) (+.f64 eps 1))
100.0%
(exp.f64 (*.f64 x eps))
Compiler

Compiled 419 to 285 computations (32% saved)

series12.0ms (0.1%)

Counts
10 → 159
Calls

48 calls:

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

rewrite158.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
294×associate-*r*
269×pow1
251×*-un-lft-identity
250×add-exp-log
250×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035422
1630391
Stop Event
node limit
Counts
10 → 373
Calls
Call 1
Inputs
(exp.f64 (*.f64 x eps))
(*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))
(*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (/.f64 1 eps))
(+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1)))))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) 1)
(*.f64 (pow.f64 (exp.f64 x) eps) 1)
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(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 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2)) (cbrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 1) (*.f64 x eps))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 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 (fma.f64 x eps x) (*.f64 (/.f64 1 eps) (fma.f64 x eps x)))
(+.f64 (*.f64 (fma.f64 x eps x) (/.f64 1 eps)) (*.f64 (fma.f64 x eps x) -1))
(+.f64 (*.f64 (fma.f64 x eps x) -1) (*.f64 (fma.f64 x eps x) (/.f64 1 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 x eps x)) (fma.f64 x eps x))
(+.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 1 eps) -1)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)))) 1)
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (fma.f64 x eps x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 x eps x)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 x eps x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x eps x) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 (fma.f64 x eps x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))))
(exp.f64 (+.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (log.f64 x) (log1p.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x eps x))))
(+.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) eps))
(+.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (+.f64 eps 1) -1) (*.f64 (+.f64 eps 1) (/.f64 1 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) eps) (+.f64 (/.f64 1 eps) -1))
(+.f64 (*.f64 (+.f64 eps 1) (/.f64 1 eps)) (*.f64 (+.f64 eps 1) -1))
(+.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))
(+.f64 (*.f64 (/.f64 1 eps) (+.f64 eps 1)) (*.f64 -1 (+.f64 eps 1)))
(+.f64 (*.f64 -1 (+.f64 eps 1)) (*.f64 (/.f64 1 eps) (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) 1)
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (+.f64 eps 1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 eps 1) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 eps 1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 eps 1)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 eps 1)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (*.f64 (fma.f64 eps eps -1) (+.f64 (/.f64 1 eps) -1)) (+.f64 eps -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) -1)) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) -1)) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (fma.f64 eps eps -1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps 2))) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (-.f64 (pow.f64 eps 2) eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 eps eps -1)) (*.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 eps -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 eps eps -1)) (*.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 eps -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (-.f64 1 eps)))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))) (*.f64 (fma.f64 x (+.f64 eps 1) 1) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 x (/.f64 (-.f64 1 eps) eps)))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 (-.f64 1 eps) eps) x))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (*.f64 x (-.f64 1 eps))))
(+.f64 (*.f64 x (+.f64 1 (/.f64 1 eps))) (*.f64 (neg.f64 eps) (*.f64 x (+.f64 1 (/.f64 1 eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 1 (/.f64 1 eps))) 1) (*.f64 (*.f64 x (+.f64 1 (/.f64 1 eps))) (neg.f64 eps)))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) 1) (*.f64 (*.f64 x (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) 1))
(+.f64 (*.f64 (/.f64 1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))) 1)
(-.f64 0 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(/.f64 (*.f64 (*.f64 x (+.f64 1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(/.f64 (*.f64 (*.f64 x (+.f64 1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))) 3)
(neg.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))
(exp.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))
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(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
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(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 eps)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 eps) (+.f64 1 (/.f64 1 eps))))
(+.f64 (/.f64 (-.f64 1 eps) eps) (-.f64 1 eps))
(-.f64 1 (-.f64 eps (/.f64 (-.f64 1 eps) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 1)
(/.f64 (*.f64 (-.f64 1 eps) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 1 (/.f64 1 eps))) (+.f64 eps 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (-.f64 1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (/.f64 (-.f64 1 eps) eps) (/.f64 (-.f64 1 eps) eps))) (-.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (/.f64 (-.f64 1 eps) eps) 3)) (+.f64 (pow.f64 (-.f64 1 eps) 2) (-.f64 (*.f64 (/.f64 (-.f64 1 eps) eps) (/.f64 (-.f64 1 eps) eps)) (*.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 eps 1) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 eps 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
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(/.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 -2)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 eps 1)))
(/.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 -3)) (-.f64 1 (pow.f64 eps 2))) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 eps 1)))
(/.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))))
(pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 1)
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (-.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
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(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(fma.f64 (-.f64 1 eps) 1 (/.f64 (-.f64 1 eps) eps))
(fma.f64 (sqrt.f64 (-.f64 1 eps)) (sqrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))

simplify243.0ms (1.2%)

Algorithm
egg-herbie
Rules
560×associate-*r*
543×distribute-lft-in
506×associate-*l*
476×distribute-rgt-in
337×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074029006
1218628655
Stop Event
node limit
Counts
532 → 509
Calls
Call 1
Inputs
1
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(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
1
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1
1
2
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2
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(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(fma.f64 (-.f64 1 eps) 1 (/.f64 (-.f64 1 eps) eps))
(fma.f64 (sqrt.f64 (-.f64 1 eps)) (sqrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))
Outputs
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x)))
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(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x))))
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x))))
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(/.f64 x eps)
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(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
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(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
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(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (*.f64 (-.f64 1 (/.f64 -1 eps)) (neg.f64 (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 x (-.f64 1 eps))))
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(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
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(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
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(*.f64 x (*.f64 (-.f64 1 (/.f64 -1 eps)) (neg.f64 (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
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(/.f64 (neg.f64 x) eps)
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(*.f64 eps x)
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(fma.f64 -1 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))
(fma.f64 -1 (/.f64 x eps) (*.f64 eps x))
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(fma.f64 -1 eps (/.f64 1 eps))
(*.f64 -1 eps)
(neg.f64 eps)
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(fma.f64 -1 eps (/.f64 1 eps))
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(fma.f64 -1 eps (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(/.f64 1 eps)
1
1
2
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(-.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
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2
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(/.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 eps 1)))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (/.f64 (-.f64 1 (pow.f64 eps 2)) (+.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 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 1)
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (-.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 3)
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3) 1/3)
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (log.f64 (exp.f64 (-.f64 1 eps))))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (log.f64 (exp.f64 (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (-.f64 1 eps) 3)))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))) 1))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (neg.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(fma.f64 1 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(fma.f64 (-.f64 1 eps) 1 (/.f64 (-.f64 1 eps) eps))
(+.f64 (-.f64 1 eps) (/.f64 (-.f64 1 eps) eps))
(*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 eps))
(fma.f64 (sqrt.f64 (-.f64 1 eps)) (sqrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (cbrt.f64 (-.f64 1 eps)) (/.f64 (-.f64 1 eps) eps))

eval642.0ms (3.3%)

Compiler

Compiled 26234 to 19288 computations (26.5% saved)

prune294.0ms (1.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New91212924
Fresh347
Picked505
Done011
Total92017937
Accuracy
100.0%
Counts
937 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
2.7%
(/.f64 (/.f64 x eps) 2)
57.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
26.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
42.6%
(/.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
67.4%
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
85.4%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
43.5%
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
50.0%
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
30.5%
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
67.5%
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))) 2)
67.5%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
60.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
10.9%
(/.f64 (*.f64 (neg.f64 eps) x) 2)
16.8%
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
43.5%
(/.f64 2 2)
17.2%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
2.7%
(/.f64 (/.f64 x eps) 2)
57.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
26.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
42.6%
(/.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
67.4%
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
85.4%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
43.5%
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
50.0%
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
30.5%
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
67.5%
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))) 2)
67.5%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
60.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
10.9%
(/.f64 (*.f64 (neg.f64 eps) x) 2)
16.8%
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
43.5%
(/.f64 2 2)
Compiler

Compiled 1014 to 818 computations (19.3% saved)

localize354.0ms (1.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(/.f64 (expm1.f64 (neg.f64 x)) eps)
100.0%
(+.f64 1 (/.f64 1 eps))
57.3%
(-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1))
100.0%
(exp.f64 (*.f64 x eps))
99.9%
(exp.f64 (*.f64 x (neg.f64 eps)))
Compiler

Compiled 165 to 81 computations (50.9% saved)

series6.0ms (0%)

Counts
5 → 96
Calls

27 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
1.0ms
x
@0
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
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)

rewrite167.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
748×associate-/l*
309×associate-+l+
221×associate-+r+
204×+-commutative
168×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023125
1386113
25325107
Stop Event
node limit
Counts
5 → 233
Calls
Call 1
Inputs
(exp.f64 (*.f64 x (neg.f64 eps)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1))
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(*.f64 x (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x))) 1)
(*.f64 (pow.f64 (exp.f64 eps) x) 1)
(*.f64 1 (pow.f64 (exp.f64 eps) x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(/.f64 1 (pow.f64 (exp.f64 eps) x))
(pow.f64 (pow.f64 (exp.f64 eps) x) 1)
(pow.f64 (E.f64) (*.f64 x eps))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 1/3)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2)) (cbrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(pow.f64 (pow.f64 (exp.f64 x) -1) eps)
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 eps))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 eps) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 eps) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 eps) x)))
(+.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (/.f64 1 eps))))
(+.f64 1 (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (/.f64 1 eps))) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (/.f64 1 eps))) 1) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 (+.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 1 (+.f64 (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (/.f64 1 eps))) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps -2))) (cbrt.f64 (/.f64 1 eps))) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 2 (/.f64 1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 2 (/.f64 1 eps)) (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 1 eps) (+.f64 (+.f64 2 (/.f64 1 eps)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (+.f64 1 (/.f64 1 eps)) (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 1 (/.f64 1 eps)) (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (neg.f64 (/.f64 1 eps)) -1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2)) -1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 eps -2))) (cbrt.f64 (/.f64 1 eps))) -1))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (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 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) 1 (/.f64 1 eps)))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (fma.f64 (neg.f64 (pow.f64 eps -1/2)) (pow.f64 eps -1/2) (/.f64 1 eps)))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 eps))) (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 eps)))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (/.f64 1 eps) (+.f64 2 (/.f64 1 eps))) (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.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))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) eps)))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 x (+.f64 eps 1)) 0)
(+.f64 (/.f64 x (/.f64 2 (+.f64 eps 1))) (/.f64 x (/.f64 2 (+.f64 eps 1))))
(+.f64 0 (*.f64 x (+.f64 eps 1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))))
(+.f64 (+.f64 x (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (+.f64 x (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (+.f64 0 (/.f64 x (/.f64 2 (+.f64 eps 1)))) (/.f64 x (/.f64 2 (+.f64 eps 1))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(-.f64 x (*.f64 x eps))
(-.f64 0 (*.f64 x (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 (*.f64 x eps) 1))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 x eps)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps 1))))) 1)
(/.f64 x (/.f64 1 (+.f64 eps 1)))
(/.f64 (+.f64 1 (pow.f64 eps 2)) (/.f64 (+.f64 eps 1) x))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 2)) x) (+.f64 eps 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (*.f64 x (+.f64 eps 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 eps 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 eps 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 eps 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
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(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 1 (*.f64 x (+.f64 eps 1))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (+.f64 eps 1))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(/.f64 (pow.f64 (E.f64) (/.f64 x 2)) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (E.f64) (/.f64 x 2))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 eps) x) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 eps) x) (cbrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 1 x) (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (sqrt.f64 (E.f64)) x)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (cbrt.f64 (E.f64)) x)))
(sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(exp.f64 (*.f64 x (+.f64 eps 1)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))

simplify294.0ms (1.5%)

Algorithm
egg-herbie
Rules
335×+-commutative
334×associate-+r-
329×associate-*r*
322×associate-+l-
312×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063414073
1172112457
2736712349
Stop Event
node limit
Counts
329 → 431
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)))))
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(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
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(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
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 (/.f64 x eps))
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(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
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(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
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(/.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)
x
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(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
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(+.f64 x (*.f64 -1 (*.f64 eps x)))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
1
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(exp.f64 (*.f64 x (*.f64 (log.f64 (E.f64)) (-.f64 1 eps))))
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(pow.f64 (E.f64) x)
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(exp.f64 (*.f64 x (*.f64 (log.f64 (E.f64)) (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (*.f64 (log.f64 (E.f64)) (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (*.f64 (log.f64 (E.f64)) (+.f64 1 (*.f64 -1 eps)))))
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(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) 2)
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 eps) x))))
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(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 eps)))
(*.f64 (*.f64 (expm1.f64 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))
(*.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 eps -2))) (cbrt.f64 (/.f64 1 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 eps 2))) (/.f64 (expm1.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 eps 2))) (/.f64 (sqrt.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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 eps 2))) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(pow.f64 (/.f64 (expm1.f64 x) eps) 1)
(pow.f64 (/.f64 eps (expm1.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3) 1/3)
(neg.f64 (/.f64 (expm1.f64 x) eps))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps -3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) eps)))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 x (+.f64 eps 1)) 0)
(+.f64 (/.f64 x (/.f64 2 (+.f64 eps 1))) (/.f64 x (/.f64 2 (+.f64 eps 1))))
(+.f64 0 (*.f64 x (+.f64 eps 1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))))
(+.f64 (+.f64 x (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (+.f64 x (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(+.f64 (+.f64 0 (/.f64 x (/.f64 2 (+.f64 eps 1)))) (/.f64 x (/.f64 2 (+.f64 eps 1))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(-.f64 x (*.f64 x eps))
(-.f64 0 (*.f64 x (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 (*.f64 x eps) 1))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 x eps)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps 1))))) 1)
(/.f64 x (/.f64 1 (+.f64 eps 1)))
(/.f64 (+.f64 1 (pow.f64 eps 2)) (/.f64 (+.f64 eps 1) x))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 2))) (+.f64 eps 1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 2)) x) (+.f64 eps 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (*.f64 x (+.f64 eps 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 eps 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 eps 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 eps 1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 1 (*.f64 x (+.f64 eps 1))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (+.f64 eps 1))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(/.f64 (pow.f64 (E.f64) (/.f64 x 2)) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (E.f64) (/.f64 x 2))))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 eps) x) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 eps) x) (cbrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 1 x) (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (sqrt.f64 (E.f64)) x)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (cbrt.f64 (E.f64)) x)))
(sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(exp.f64 (*.f64 x (+.f64 eps 1)))
(log1p.f64 (expm1.f64 (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 1/2 (*.f64 (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 1/2 (*.f64 (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 eps 3) (*.f64 -1/6 (pow.f64 x 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
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 1/2 (*.f64 (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 1/2 (*.f64 (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 eps 3) (*.f64 -1/6 (pow.f64 x 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(pow.f64 (exp.f64 (neg.f64 eps)) x)
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 (/.f64 x eps))
(neg.f64 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))
(fma.f64 -1 (/.f64 x eps) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))
(-.f64 (/.f64 1/2 (/.f64 eps (pow.f64 x 2))) (/.f64 x 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))))
(fma.f64 -1 (/.f64 x eps) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) eps) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) eps) (/.f64 (*.f64 -1/6 (pow.f64 x 3)) eps)) (/.f64 x 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)))))
(fma.f64 -1 (/.f64 x eps) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 1/24 (/.f64 (pow.f64 x 4) eps) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 1/24 (/.f64 (pow.f64 x 4) eps) (/.f64 1/2 (/.f64 eps (pow.f64 x 2))))) (/.f64 x eps))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
x
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 eps x))
(*.f64 x (-.f64 1 eps))
1
(+.f64 1 (*.f64 x (*.f64 (log.f64 (E.f64)) (-.f64 1 eps))))
(+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))
(fma.f64 x (-.f64 1 eps) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 (-.f64 1 eps) 2)))) (*.f64 x (*.f64 (log.f64 (E.f64)) (-.f64 1 eps)))))
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(+.f64 (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 eps) 2) 1/2)))
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(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 1 (pow.f64 eps 3)))
(pow.f64 (*.f64 x (+.f64 eps 1)) 1)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 eps 1))) 2)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 eps 1))) 3)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3) 1/3)
(fma.f64 x eps x)
(fma.f64 eps x x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 eps 1)))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 eps 1)) 3))
(fma.f64 x eps x)
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 eps 1))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 eps 1))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(*.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) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 eps x x))) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 eps x x))) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 1 (*.f64 x (+.f64 eps 1))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (*.f64 x (+.f64 1 eps))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (+.f64 eps 1))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (+.f64 1 eps))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (+.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 eps x x)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (pow.f64 (exp.f64 eps) x)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x))
(/.f64 (pow.f64 (E.f64) (/.f64 x 2)) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (E.f64) (/.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (E.f64) (/.f64 x 2)) (pow.f64 (exp.f64 eps) x)) (pow.f64 (E.f64) (/.f64 x 2)))
(/.f64 (pow.f64 (E.f64) x) (pow.f64 (exp.f64 eps) x))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 eps) x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 eps) x)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 eps) x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 eps) x)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 eps) x) (cbrt.f64 (exp.f64 x)))))
(/.f64 (pow.f64 1 x) (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (pow.f64 (exp.f64 eps) x)))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (sqrt.f64 (E.f64)) x)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (exp.f64 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) x))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (/.f64 (pow.f64 (sqrt.f64 (E.f64)) x) (pow.f64 (exp.f64 eps) x)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (/.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (cbrt.f64 (E.f64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (pow.f64 (exp.f64 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (pow.f64 (exp.f64 eps) x)))
(sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 eps 1))))
(sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 2) (fma.f64 eps x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (*.f64 x (+.f64 eps 1)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(exp.f64 (fma.f64 eps x x))

eval377.0ms (1.9%)

Compiler

Compiled 10525 to 7706 computations (26.8% saved)

prune117.0ms (0.6%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New5006506
Fresh5611
Picked235
Done011
Total50716523
Accuracy
100.0%
Counts
523 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
14.0%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
2.7%
(/.f64 (/.f64 x eps) 2)
57.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
26.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
42.6%
(/.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
61.3%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (-.f64 1 (*.f64 eps x)))) 2)
85.4%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
67.9%
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
50.0%
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
67.9%
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2)
50.5%
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
60.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
10.9%
(/.f64 (*.f64 (neg.f64 eps) x) 2)
43.5%
(/.f64 2 2)
16.8%
(/.f64 0 2)
Compiler

Compiled 875 to 646 computations (26.2% saved)

regimes81.0ms (0.4%)

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

4 calls:

23.0ms
eps
22.0ms
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)
5.0ms
(-.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)))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%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)
99.7%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 733 to 531 computations (27.6% saved)

regimes139.0ms (0.7%)

Counts
33 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (-.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

2 calls:

105.0ms
x
21.0ms
eps
Results
AccuracySegmentsBranch
91.6%4x
85.4%1eps
Compiler

Compiled 487 to 350 computations (28.1% saved)

regimes185.0ms (0.9%)

Counts
31 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (-.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2)
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) 2)
Outputs
(/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

2 calls:

87.0ms
x
83.0ms
eps
Results
AccuracySegmentsBranch
72.8%4eps
91.3%5x
Compiler

Compiled 459 to 339 computations (26.1% saved)

regimes132.0ms (0.7%)

Counts
28 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (-.f64 (-.f64 1 (*.f64 x (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
Outputs
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

122.0ms
x
Results
AccuracySegmentsBranch
91.3%5x
Compiler

Compiled 424 to 318 computations (25% saved)

regimes68.0ms (0.3%)

Counts
21 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
Outputs
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

60.0ms
x
Results
AccuracySegmentsBranch
91.3%5x
Compiler

Compiled 294 to 227 computations (22.8% saved)

regimes66.0ms (0.3%)

Counts
20 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

58.0ms
x
Results
AccuracySegmentsBranch
91.1%5x
Compiler

Compiled 284 to 220 computations (22.5% saved)

regimes59.0ms (0.3%)

Counts
19 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

52.0ms
x
Results
AccuracySegmentsBranch
81.2%5x
Compiler

Compiled 274 to 212 computations (22.6% saved)

regimes69.0ms (0.4%)

Counts
18 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 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 0 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

47.0ms
x
Results
AccuracySegmentsBranch
74.8%5x
Compiler

Compiled 266 to 207 computations (22.2% saved)

regimes101.0ms (0.5%)

Counts
17 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 0 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

2 calls:

74.0ms
x
20.0ms
eps
Results
AccuracySegmentsBranch
53.0%2eps
67.9%4x
Compiler

Compiled 262 to 205 computations (21.8% saved)

regimes93.0ms (0.5%)

Counts
16 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (-.f64 (*.f64 x eps) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
Outputs
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 0 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

84.0ms
x
Results
AccuracySegmentsBranch
67.2%4x
Compiler

Compiled 253 to 199 computations (21.3% saved)

regimes27.0ms (0.1%)

Counts
8 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
Outputs
(/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2)
(/.f64 0 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 0 2)
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
67.2%4x
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes29.0ms (0.1%)

Counts
7 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (-.f64 1 (neg.f64 (+.f64 (+.f64 x 1) (neg.f64 x)))) 2)
(/.f64 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))) 2)
Outputs
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 2 2)
(/.f64 0 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 0 2)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
67.5%5x
Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes17.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
Outputs
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 2 2)
(/.f64 0 2)
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
65.5%3x
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes9.0ms (0%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
57.7%2x
Compiler

Compiled 16 to 13 computations (18.8% 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
16.8%1eps
16.8%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch144.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6400119843277155e+247
9.902293051521422e+247
32.0ms
1.463209482212339e+199
5.823366957978259e+207
95.0ms
1.8288866095487755e+84
1.5725349866474428e+93
Results
105.0ms221×body256infinite
34.0ms163×body256valid
Compiler

Compiled 594 to 509 computations (14.3% saved)

bsearch141.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6400119843277155e+247
9.902293051521422e+247
30.0ms
1.463209482212339e+199
5.823366957978259e+207
27.0ms
1.8288866095487755e+84
1.5725349866474428e+93
68.0ms
-2.724528673491817e-263
-4.4348940329510755e-272
Results
52.0ms265×body256valid
40.0ms36×body1024valid
30.0ms201×body256infinite
6.0msbody2048valid
4.0ms17×body512valid
Compiler

Compiled 819 to 716 computations (12.6% saved)

bsearch123.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
19.0ms
1.6400119843277155e+247
9.902293051521422e+247
29.0ms
1.463209482212339e+199
5.823366957978259e+207
26.0ms
1.8288866095487755e+84
1.5725349866474428e+93
48.0ms
-2.724528673491817e-263
-4.4348940329510755e-272
Results
41.0ms232×body256valid
36.0ms203×body256infinite
33.0ms20×body1024valid
2.0msbody2048valid
2.0msbody512valid
Compiler

Compiled 711 to 624 computations (12.2% saved)

bsearch114.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.6400119843277155e+247
9.902293051521422e+247
25.0ms
1.463209482212339e+199
5.823366957978259e+207
28.0ms
1.8288866095487755e+84
1.5725349866474428e+93
42.0ms
-2.724528673491817e-263
-4.4348940329510755e-272
Results
41.0ms245×body256valid
36.0ms231×body256infinite
15.0ms31×body1024valid
6.0msbody2048valid
3.0ms13×body512valid
Compiler

Compiled 720 to 617 computations (14.3% saved)

bsearch104.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
19.0ms
1.6400119843277155e+247
9.902293051521422e+247
29.0ms
1.463209482212339e+199
5.823366957978259e+207
29.0ms
1.8288866095487755e+84
1.5725349866474428e+93
22.0ms
-2.724528673491817e-263
-4.4348940329510755e-272
Results
42.0ms227×body256infinite
35.0ms212×body256valid
5.0ms13×body1024valid
4.0msbody2048valid
2.0msbody512valid
Compiler

Compiled 624 to 537 computations (13.9% saved)

bsearch128.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.6400119843277155e+247
9.902293051521422e+247
26.0ms
1.463209482212339e+199
5.823366957978259e+207
28.0ms
1.8288866095487755e+84
1.5725349866474428e+93
52.0ms
-108481565785494.19
-3.8580926349338035e-7
Results
64.0ms321×body256infinite
27.0ms176×body256valid
10.0ms23×body1024valid
6.0ms15×body1024infinite
4.0ms15×body512valid
3.0msbody2048valid
2.0msbody512infinite
Compiler

Compiled 735 to 624 computations (15.1% saved)

bsearch148.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.6400119843277155e+247
9.902293051521422e+247
21.0ms
1.463209482212339e+199
5.823366957978259e+207
52.0ms
4.998891836827182e-17
825.5849004816055
56.0ms
-108481565785494.19
-3.8580926349338035e-7
Results
53.0ms283×body256infinite
38.0ms81×body1024valid
21.0ms116×body256valid
9.0ms11×body2048valid
9.0ms32×body512valid
6.0ms14×body1024infinite
2.0msbody512infinite
Compiler

Compiled 587 to 520 computations (11.4% saved)

bsearch218.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
19.0ms
1.6400119843277155e+247
9.902293051521422e+247
3.0ms
1.463209482212339e+199
5.823366957978259e+207
196.0ms
6.681251685331856e-44
1.8336132076773443e-25
Results
160.0ms126×body256infinite
27.0ms51×body1024valid
16.0ms72×body256valid
7.0ms10×body2048valid
4.0ms13×body512valid
Compiler

Compiled 421 to 368 computations (12.6% saved)

bsearch148.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
1.6400119843277155e+247
9.902293051521422e+247
25.0ms
1.463209482212339e+199
5.823366957978259e+207
51.0ms
6.681251685331856e-44
1.8336132076773443e-25
Results
89.0ms210×body256infinite
20.0ms131×body256valid
19.0ms38×body1024valid
10.0msbody2048valid
4.0ms14×body512valid
Compiler

Compiled 556 to 487 computations (12.4% saved)

bsearch102.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
1.6400119843277155e+247
9.902293051521422e+247
25.0ms
1.463209482212339e+199
5.823366957978259e+207
53.0ms
6.681251685331856e-44
1.8336132076773443e-25
Results
34.0ms211×body256infinite
22.0ms128×body256valid
17.0ms36×body1024valid
10.0msbody2048valid
5.0ms18×body512valid
Compiler

Compiled 496 to 439 computations (11.5% saved)

bsearch165.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.6400119843277155e+247
9.902293051521422e+247
33.0ms
1.463209482212339e+199
5.823366957978259e+207
56.0ms
4.998891836827182e-17
825.5849004816055
58.0ms
-108481565785494.19
-3.8580926349338035e-7
Results
50.0ms309×body256infinite
46.0ms72×body1024valid
29.0ms133×body256valid
19.0ms26×body2048valid
11.0ms29×body512valid
2.0msbody1024infinite
1.0msbody512infinite
Compiler

Compiled 561 to 502 computations (10.5% saved)

bsearch103.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
4.998891836827182e-17
825.5849004816055
52.0ms
-108481565785494.19
-3.8580926349338035e-7
Results
38.0ms72×body1024valid
26.0ms173×body256infinite
11.0ms15×body2048valid
10.0ms36×body512valid
7.0ms34×body256valid
1.0msbody1024infinite
1.0msbody512infinite
Compiler

Compiled 321 to 292 computations (9% saved)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
50.0ms
4.998891836827182e-17
825.5849004816055
Results
20.0ms35×body1024valid
13.0ms88×body256infinite
7.0msbody2048valid
5.0ms16×body512valid
2.0ms14×body256valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify92.0ms (0.5%)

Algorithm
egg-herbie
Rules
56×distribute-lft-neg-in
36×+-commutative
34×distribute-neg-in
33×distribute-rgt-neg-in
31×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01821892
12351876
22851876
33561848
43961848
54281848
64421848
74651848
84791848
95041848
105251848
115271848
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(if (<=.f64 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) (/.f64 0 2) (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x -856521739283203/19033816428515623203815199976318727169680130581240249075913879799244040411653175981378154425550801287549423664514470055045818691142974793059722631438110651210022026757727486386466386045879011031939061706014098396237667183448036865128410866436462823462554177349813042084144196464827957248) (/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2) (if (<=.f64 x 1499999999999999939125086684525544097237994134472677159504608514710055884426431638274048) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 15000000000000000701753105556940631640661486589997087466430886816573492147323556054207597017920417980621731791535007976730501322227627982090064394889376934635769012456112575101454117333740713941273673728) (/.f64 0 2) (if (<=.f64 x 32000000000000002194753659257025647894627013546014879574106348664256618235964070808092413420042867707023527898663348406315996633564994755671303358917859083186289327059824160332820312622264894188456238992673703086958820222673092113605126603845664768) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2) (if (<=.f64 x 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) (/.f64 0 2) (if (<=.f64 x 60000000000000000233867880355150751929976929242521511059234360953739631344802537700045893446638161123473092738377583385623166945106682151454743687683949802363574300634217452612900646114621912727692234032267081224890289933220875835777495247670476800) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x -856521739283203/19033816428515623203815199976318727169680130581240249075913879799244040411653175981378154425550801287549423664514470055045818691142974793059722631438110651210022026757727486386466386045879011031939061706014098396237667183448036865128410866436462823462554177349813042084144196464827957248) (/.f64 (-.f64 1 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2) (if (<=.f64 x 1299999999999999998494441448346844183491888818093567178694313593316669837027793440267156062208) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 7500000000000000350876552778470315820330743294998543733215443408286746073661778027103798508960208990310865895767503988365250661113813991045032197444688467317884506228056287550727058666870356970636836864) (/.f64 0 2) (if (<=.f64 x 39999999999999998085887797169155254421345301545010933696974884480230939377798974431962658715922925641144183387389751656431803700563023826074389066302880679649999833701236782802660462715281401084774441846046794382909527697191958889327867693358907392) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 400000000000000017350918789847674429316117329980775724716709515734446725155872444376529502208) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 380000000000000023579188590315770764850233111050356875928284893246322487531991926890200407627452685534709496794564613009894549698208357303240535249265519284429865203629363352068658666699486420256155500544) (/.f64 0 2) (if (<=.f64 x 94000000000000004506441258691626671754242491713290514677829877805383052144329410466207773563404815975783602166515488505443576739683330587069978561677693067554365804436757046972090948301840744740758595001480946786362785411956622145099000831526567936) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x -440) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 22000000000000001702224564432959964168292118188427501794351231751812831046030105509888) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 15000000000000000395817621694482782795458679615775158124585251005803104384443732450775146538069526162864130486762939431450247538149643397250434696401417564735885504686558260381807305332554219778998272) (/.f64 0 2) (if (<=.f64 x 97999999999999996241935958444855734421683681862778320711720077246583768159038710173939085465837299619330294596292778328550557484658052297585201238910946300009071957592738801389191119264949375987856553901773713133286142374350180529388983961018957824) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x -480) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 450) (/.f64 2 2) (if (<=.f64 x 1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864) (/.f64 0 2) (if (<=.f64 x 41000000000000002229833841310298260684123552932393106232991502807317562937684451463099297437038591875544491809419985914159471675330997078389514912070451553540825472154956778224755409539458181097610074097513765270692363712656223488971750890996236288) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) (/.f64 0 2) (if (<=.f64 x 27000000000000000105240546159817838368489618159134679976655462429182834105161141965020652050987172505562891732269912523530425125298006968154634659457777411063608435285397853675805290751579860727461505314520186551200630469949394126099872861451714560) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 12499999999999999859613848438291180956366807478693740374687935610503657647795233355555337118250086230648240066819455280685186576634467265455190673399317827989342899370779881397234135997527053233075257344) (/.f64 0 2) (if (<=.f64 x 54999999999999998144354767257942942403839533855641311461783474718665847213999608856974132077582465922012456571984147502837595436839694363938074988223868130240893408859791145955885624243936879266697500354113564689132100180497177848272241505276526592) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 259999999999999988725889768178940904759424946447409649232177565492372690562435803931155564289806774360582493760868718095132417463440753391447144373327933628112179988084925045784647749036163506656765049569280) (/.f64 0 2) (if (<=.f64 x 60000000000000000233867880355150751929976929242521511059234360953739631344802537700045893446638161123473092738377583385623166945106682151454743687683949802363574300634217452612900646114621912727692234032267081224890289933220875835777495247670476800) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 0 2))))
(if (<=.f64 x -1) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 600) (/.f64 2 2) (if (<=.f64 x 38000000000000000408633927186156756020655559646170985795184473776541458100468014387327769616459764064860739766028739227594913526024397059985861810471713916494217645969900488175374001403722161887668812644352) (/.f64 0 2) (if (<=.f64 x 48000000000000000187094304284120601543981543394017208847387488762991705075842030160036714757310528898778474190702066708498533556085345721163794950147159841890859440507373962090320516891697530182153787225813664979912231946576700668621996198136381440) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 0 2)))))
(if (<=.f64 x -1) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 500) (/.f64 2 2) (/.f64 0 2)))
(if (<=.f64 x 600) (/.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 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (exp.f64 (*.f64 (neg.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 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) (/.f64 0 2) (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) 0 (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) 0 (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) 0 (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2))))
(if (<=.f64 x 1399999999999999944936126527150665079035425646244807183238498639429999498587969547404723617792) (/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (if (<=.f64 x 310000000000000017403619139613410435550408448245155137695589541155749180944584411878760979957089686612328602729562370318791285426925202508340782783747775119301084701463582276845962272019668921658267140096) 0 (if (<=.f64 x 78000000000000000304028244461695977508970008015277964377004669239861520748243299010059661480629609460515020559890858401310117028638686796891166793989134743072646590824482688396770839949008486545999904241947205592357376913187138586510743821971619840) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2))))
(if (<=.f64 x -856521739283203/19033816428515623203815199976318727169680130581240249075913879799244040411653175981378154425550801287549423664514470055045818691142974793059722631438110651210022026757727486386466386045879011031939061706014098396237667183448036865128410866436462823462554177349813042084144196464827957248) (/.f64 (+.f64 1 (pow.f64 (E.f64) (*.f64 (neg.f64 eps) x))) 2) (if (<=.f64 x 1499999999999999939125086684525544097237994134472677159504608514710055884426431638274048) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 15000000000000000701753105556940631640661486589997087466430886816573492147323556054207597017920417980621731791535007976730501322227627982090064394889376934635769012456112575101454117333740713941273673728) (/.f64 0 2) (if (<=.f64 x 32000000000000002194753659257025647894627013546014879574106348664256618235964070808092413420042867707023527898663348406315996633564994755671303358917859083186289327059824160332820312622264894188456238992673703086958820222673092113605126603845664768) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)))))
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(if (<=.f64 x -480) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 450) 1 (if (<=.f64 x 1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864) 0 (if (<=.f64 x 41000000000000002229833841310298260684123552932393106232991502807317562937684451463099297437038591875544491809419985914159471675330997078389514912070451553540825472154956778224755409539458181097610074097513765270692363712656223488971750890996236288) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2)))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) (/.f64 0 2) (if (<=.f64 x 27000000000000000105240546159817838368489618159134679976655462429182834105161141965020652050987172505562891732269912523530425125298006968154634659457777411063608435285397853675805290751579860727461505314520186551200630469949394126099872861451714560) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) 0 (if (<=.f64 x 27000000000000000105240546159817838368489618159134679976655462429182834105161141965020652050987172505562891732269912523530425125298006968154634659457777411063608435285397853675805290751579860727461505314520186551200630469949394126099872861451714560) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 20000000000000001944124809770689306899513456960949883711695315279822601044442678468776355013032015521585513356295347692305208680856860570591457828942442724739900616292977285692626462671120877123272704) 0 (if (<=.f64 x 27000000000000000105240546159817838368489618159134679976655462429182834105161141965020652050987172505562891732269912523530425125298006968154634659457777411063608435285397853675805290751579860727461505314520186551200630469949394126099872861451714560) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 12499999999999999859613848438291180956366807478693740374687935610503657647795233355555337118250086230648240066819455280685186576634467265455190673399317827989342899370779881397234135997527053233075257344) (/.f64 0 2) (if (<=.f64 x 54999999999999998144354767257942942403839533855641311461783474718665847213999608856974132077582465922012456571984147502837595436839694363938074988223868130240893408859791145955885624243936879266697500354113564689132100180497177848272241505276526592) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 12499999999999999859613848438291180956366807478693740374687935610503657647795233355555337118250086230648240066819455280685186576634467265455190673399317827989342899370779881397234135997527053233075257344) 0 (if (<=.f64 x 54999999999999998144354767257942942403839533855641311461783474718665847213999608856974132077582465922012456571984147502837595436839694363938074988223868130240893408859791145955885624243936879266697500354113564689132100180497177848272241505276526592) (/.f64 (+.f64 2 (*.f64 x eps)) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 12499999999999999859613848438291180956366807478693740374687935610503657647795233355555337118250086230648240066819455280685186576634467265455190673399317827989342899370779881397234135997527053233075257344) 0 (if (<=.f64 x 54999999999999998144354767257942942403839533855641311461783474718665847213999608856974132077582465922012456571984147502837595436839694363938074988223868130240893408859791145955885624243936879266697500354113564689132100180497177848272241505276526592) (/.f64 (+.f64 2 (*.f64 x eps)) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2))))
(if (<=.f64 x 3920052866929211/21778071482940061661655974875633165533184) (/.f64 (+.f64 1 (+.f64 1 (*.f64 x (*.f64 1 (-.f64 1 eps))))) 2) (if (<=.f64 x 259999999999999988725889768178940904759424946447409649232177565492372690562435803931155564289806774360582493760868718095132417463440753391447144373327933628112179988084925045784647749036163506656765049569280) (/.f64 0 2) (if (<=.f64 x 60000000000000000233867880355150751929976929242521511059234360953739631344802537700045893446638161123473092738377583385623166945106682151454743687683949802363574300634217452612900646114621912727692234032267081224890289933220875835777495247670476800) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 0 2))))
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(if (<=.f64 x -1) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 600) (/.f64 2 2) (if (<=.f64 x 38000000000000000408633927186156756020655559646170985795184473776541458100468014387327769616459764064860739766028739227594913526024397059985861810471713916494217645969900488175374001403722161887668812644352) (/.f64 0 2) (if (<=.f64 x 48000000000000000187094304284120601543981543394017208847387488762991705075842030160036714757310528898778474190702066708498533556085345721163794950147159841890859440507373962090320516891697530182153787225813664979912231946576700668621996198136381440) (/.f64 (+.f64 (*.f64 eps x) 2) 2) (/.f64 0 2)))))
(if (<=.f64 x -1) (/.f64 (*.f64 x (neg.f64 eps)) 2) (if (<=.f64 x 600) 1 (if (<=.f64 x 38000000000000000408633927186156756020655559646170985795184473776541458100468014387327769616459764064860739766028739227594913526024397059985861810471713916494217645969900488175374001403722161887668812644352) 0 (if (<=.f64 x 48000000000000000187094304284120601543981543394017208847387488762991705075842030160036714757310528898778474190702066708498533556085345721163794950147159841890859440507373962090320516891697530182153787225813664979912231946576700668621996198136381440) (/.f64 (+.f64 2 (*.f64 x eps)) 2) 0))))
(if (<=.f64 x -1) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 500) (/.f64 2 2) (/.f64 0 2)))
(if (<=.f64 x -1) (/.f64 (*.f64 x (neg.f64 eps)) 2) (if (<=.f64 x 500) 1 0))
(if (<=.f64 x 600) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 600) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 594 to 465 computations (21.7% saved)

soundness5.3s (27%)

Rules
802×associate-*r*
802×associate-*r*
748×associate-/l*
748×associate-/l*
700×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067543
1200511
2600470
31784470
47042470
076738100
1227637825
023125
1386113
25325107
063414073
1172112457
2736712349
076738100
1227637825
074029006
1218628655
088237410
1250535966
074029006
1218628655
088237410
1250535966
031422
1529353
27783353
088237410
1250535966
063414073
1172112457
2736712349
088237410
1250535966
023125
1386113
25325107
063414073
1172112457
2736712349
088237410
1250535966
031422
1529353
27783353
088237410
1250535966
088237410
1250535966
063414073
1172112457
2736712349
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
node limit
node limit
node limit
node limit
Compiler

Compiled 1480 to 1113 computations (24.8% saved)

end1.0ms (0%)

preprocess416.0ms (2.1%)

Remove

(abs eps)

Compiler

Compiled 1228 to 898 computations (26.9% saved)

Profiling

Loading profile data...