NMSE Section 6.1 mentioned, A

Time bar (total: 11.9s)

analyze29.0ms (0.2%)

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

Compiled 32 to 26 computations (18.8% saved)

sample2.1s (17.5%)

Results
567.0ms1208×body1024valid
539.0ms3459×body256infinite
503.0ms2858×body256valid
180.0ms963×body256unsamplable
166.0ms596×body512valid
97.0ms115×body2048valid
8.0ms13×body1024infinite
5.0msbody512infinite
Bogosity

preprocess309.0ms (2.6%)

Algorithm
egg-herbie
Rules
1818×div-sub
1486×times-frac
1324×fma-def
800×associate-/l*
608×associate-/r*
Problems
184×No Errors
72×(-.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)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069785
1203721
2611666
32091658
47321658
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)
(neg.f64 (/.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))
(neg.f64 (/.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 (neg.f64 eps) -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)
(/.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 (neg.f64 eps) -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)
(/.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 (neg.f64 (-.f64 1 eps)) (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (fma.f64 (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 (neg.f64 eps) -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)
(/.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)
(neg.f64 (/.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 (neg.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 (neg.f64 x))))))) 2)
(/.f64 (neg.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 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2)
(*.f64 -1/2 (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)))))
(*.f64 -1/2 (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)))))
(neg.f64 (/.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))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (/.f64 1 (neg.f64 eps)) -1))) 2))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 eps) -1)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (/.f64 -1 eps) -1))) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 (/.f64 -1 eps) -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 -1/2 (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)))))
(*.f64 -1/2 (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)))))
(/.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 79 computations (27.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.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)
72.7%
(/.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 58 to 44 computations (24.1% saved)

localize874.0ms (7.3%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
93.0%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
72.7%
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
72.7%
(-.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)

series92.0ms (0.8%)

Counts
7 → 168
Calls

42 calls:

TimeVariablePointExpression
45.0ms
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))))
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))))
2.0ms
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)))))
2.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
2.0ms
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))))

rewrite132.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
450×associate-*r*
292×associate-*l*
283×log1p-expm1-u
283×expm1-log1p-u
281×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034374
1612338
Stop Event
node limit
Counts
7 → 197
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 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (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)))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.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 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1))) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)))
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simplify201.0ms (1.7%)

Algorithm
egg-herbie
Rules
1424×fma-def
1402×associate-*r*
630×associate-+r+
618×distribute-lft-in
616×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075124191
1218724191
Stop Event
node limit
Counts
365 → 274
Calls
Call 1
Inputs
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2
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2
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1
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(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(+.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) -1) (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1)
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.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))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.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 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 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))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(*.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 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x 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))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (*.f64 (fma.f64 eps x x) 1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(*.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 (pow.f64 (cbrt.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 (+.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 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.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 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))
(*.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 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 (/.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 (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) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (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 (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 (neg.f64 (pow.f64 (cbrt.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 (+.f64 1 (/.f64 1 eps)) 1) (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)) (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 (exp.f64 x) eps)) (exp.f64 x))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(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 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 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 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (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 (*.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 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.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))))))
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(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.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 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 eps x x)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.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 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (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 (/.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 (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 (neg.f64 (pow.f64 (cbrt.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 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.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 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))

eval487.0ms (4.1%)

Compiler

Compiled 10777 to 7247 computations (32.8% saved)

prune63.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2659274
Fresh000
Picked112
Done000
Total26610276
Accuracy
100.0%
Counts
276 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.0%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
39.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
34.8%
(/.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
59.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
72.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
36.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
72.7%
(/.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)
71.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
98.2%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
43.9%
(/.f64 2 2)
Compiler

Compiled 445 to 358 computations (19.6% saved)

localize1.3s (11%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 1 eps))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(/.f64 1 (exp.f64 x))
99.6%
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
74.6%
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(*.f64 x (+.f64 1 eps))
100.0%
(*.f64 x (-.f64 1 eps))
Compiler

Compiled 375 to 266 computations (29.1% saved)

series8.0ms (0.1%)

Counts
7 → 92
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
1.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
x
@inf
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
0.0ms
x
@-inf
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
0.0ms
eps
@0
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite129.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
590×expm1-udef
586×log1p-udef
586×log1p-expm1-u
308×associate-*r*
202×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027186
1471150
26474150
Stop Event
node limit
Counts
7 → 198
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 eps))
(*.f64 x (+.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
(/.f64 1 (exp.f64 x))
(*.f64 x (+.f64 1 eps))
Outputs
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 x (*.f64 x eps))
(+.f64 x (neg.f64 (*.f64 x eps)))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(+.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 0 (*.f64 x (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.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 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))

simplify148.0ms (1.2%)

Algorithm
egg-herbie
Rules
1000×times-frac
836×cancel-sign-sub-inv
612×fma-neg
522×distribute-rgt-neg-in
508×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039812485
1107811820
2425111107
Stop Event
node limit
Counts
290 → 253
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(+.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)))
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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)))
x
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
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(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
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(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
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(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))) eps)) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
2
(+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
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(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
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(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
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(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x)))
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(*.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)))
0
0
0
0
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
x
(+.f64 x (*.f64 eps x))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (+.f64 1 eps))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
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(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
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(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
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(+.f64 x (*.f64 x eps))
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(+.f64 0 (*.f64 x (+.f64 1 eps)))
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(-.f64 0 (*.f64 x (+.f64 1 eps)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1))
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(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (neg.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (-.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(exp.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 x (*.f64 x eps))
(+.f64 x (neg.f64 (*.f64 x eps)))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(+.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 0 (*.f64 x (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
0
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (exp.f64 x))
(*.f64 -1 (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (exp.f64 x) -1)
(pow.f64 (exp.f64 -1) x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (pow.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (exp.f64 -1)) x))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(+.f64 x (*.f64 x eps))
(+.f64 x (neg.f64 (*.f64 x eps)))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(+.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 0 (*.f64 x (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
Outputs
x
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 x) eps)
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 x) eps)
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
x
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (fma.f64 -1 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 eps (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 x (exp.f64 (neg.f64 x))))) (/.f64 1 eps)) (fma.f64 -1 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 eps) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 eps) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.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 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (/.f64 1 eps)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
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(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x eps x)
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)
0
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(exp.f64 x)
(*.f64 -1 (neg.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 x) 1)
(exp.f64 x)
(pow.f64 (exp.f64 x) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 -1) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(exp.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) x)
(exp.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 x)
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (exp.f64 -1)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(exp.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
(+.f64 x (*.f64 x eps))
(fma.f64 x eps x)
(+.f64 x (neg.f64 (*.f64 x eps)))
(-.f64 x (*.f64 x eps))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(fma.f64 x eps x)
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(fma.f64 x eps x)
(+.f64 (*.f64 x eps) x)
(fma.f64 x eps x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 x eps x)
(-.f64 0 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(fma.f64 x eps x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 eps 2) eps))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) (pow.f64 eps 2))) (-.f64 x (*.f64 x eps)))
(/.f64 (*.f64 x (-.f64 x (*.f64 (pow.f64 eps 2) x))) (*.f64 x (-.f64 1 eps)))
(*.f64 1 (*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (-.f64 1 (pow.f64 eps 2)) (/.f64 (-.f64 1 eps) x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 2)) (-.f64 1 eps)) x)
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (pow.f64 eps 2)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 x (/.f64 (+.f64 1 (-.f64 (pow.f64 eps 2) eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (-.f64 (pow.f64 eps 2) eps))) (+.f64 1 (pow.f64 eps 3)))
(*.f64 (/.f64 x (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (-.f64 1 (pow.f64 eps 2)) (/.f64 (-.f64 1 eps) x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 2)) (-.f64 1 eps)) x)
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (pow.f64 eps 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 x (/.f64 (+.f64 1 (-.f64 (pow.f64 eps 2) eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (-.f64 (pow.f64 eps 2) eps))) (+.f64 1 (pow.f64 eps 3)))
(*.f64 (/.f64 x (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(fma.f64 x eps x)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(fma.f64 x eps x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x eps x)
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x eps x)
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 x eps x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 x eps x)

eval288.0ms (2.4%)

Compiler

Compiled 11444 to 8499 computations (25.7% saved)

prune122.0ms (1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New38010390
Fresh134
Picked325
Done011
Total38416400
Accuracy
100.0%
Counts
400 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
16.9%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
3.0%
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
17.2%
(/.f64 (/.f64 0 eps) 2)
33.3%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
59.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
72.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
36.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
72.7%
(/.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)
71.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
63.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
83.3%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
90.2%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
64.0%
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
36.6%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
43.9%
(/.f64 2 2)
Compiler

Compiled 576 to 466 computations (19.1% saved)

localize660.0ms (5.5%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
100.0%
(*.f64 x (+.f64 1 eps))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
74.6%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
48.6%
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
100.0%
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps)))))
100.0%
(exp.f64 (*.f64 -1 (*.f64 x eps)))
100.0%
(*.f64 x (-.f64 1 eps))
Compiler

Compiled 319 to 214 computations (32.9% saved)

series12.0ms (0.1%)

Counts
6 → 124
Calls

33 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
1.0ms
x
@inf
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
1.0ms
eps
@inf
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
0.0ms
x
@0
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)

rewrite143.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
321×log1p-expm1-u
321×expm1-log1p-u
317×add-exp-log
317×add-log-exp
315×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042239
1787201
Stop Event
node limit
Counts
6 → 182
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1 (*.f64 x eps)))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps)))))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) 1)
(*.f64 -1 (pow.f64 (exp.f64 x) eps))
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(/.f64 1 (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (pow.f64 (exp.f64 x) eps) -1)
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(pow.f64 (exp.f64 -1) (*.f64 x eps))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 x eps) 1))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(pow.f64 (pow.f64 (exp.f64 -1) -1) (*.f64 x eps))
(pow.f64 (pow.f64 (exp.f64 -1) eps) x)
(pow.f64 (pow.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (*.f64 x eps) 2))) (cbrt.f64 (*.f64 x eps)))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 1) (*.f64 x eps))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x eps) 2))) (cbrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (pow.f64 (exp.f64 x) eps) -1 (pow.f64 (exp.f64 x) eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) eps)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1))) (fma.f64 (pow.f64 (exp.f64 x) eps) 1 (*.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1))) (fma.f64 (pow.f64 (exp.f64 x) eps) 1 (*.f64 (pow.f64 (exp.f64 x) eps) 1)))
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(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) 2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2)) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) -1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) (fma.f64 (neg.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 eps 1))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) eps) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1))) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 x) eps) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1))) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1))) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))

simplify213.0ms (1.8%)

Algorithm
egg-herbie
Rules
1228×fma-neg
1042×fma-def
592×log-prod
572×associate-*r*
508×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065018089
1180616108
2675415988
Stop Event
node limit
Counts
306 → 402
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 eps 3)))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 -1/2 (/.f64 x eps))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (*.f64 (neg.f64 eps) x))
(-.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 eps (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 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 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 eps (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 3)))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 (neg.f64 eps) x))
(exp.f64 (*.f64 eps (neg.f64 x)))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)))
(+.f64 2 (*.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps)))
(fma.f64 x (-.f64 (+.f64 -1 eps) eps) 2)
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2))))))
(+.f64 2 (fma.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps) (*.f64 (pow.f64 x 2) (fma.f64 1/2 (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (pow.f64 eps 2) -1/2))))))
(+.f64 2 (fma.f64 (pow.f64 x 2) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 eps 2))) (*.f64 x (-.f64 (+.f64 -1 eps) eps))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 2 (fma.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps) (fma.f64 (pow.f64 x 2) (fma.f64 1/2 (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (pow.f64 eps 2) -1/2))) (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 (-.f64 1 eps) 3) (neg.f64 (*.f64 (pow.f64 eps 3) 1/6)))))))
(+.f64 (fma.f64 x (-.f64 (+.f64 -1 eps) eps) 2) (fma.f64 (pow.f64 x 3) (*.f64 -1/6 (+.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 eps 3))) (*.f64 (pow.f64 x 2) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 eps 2))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x)))
(+.f64 1 (fma.f64 eps (*.f64 x (expm1.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (fma.f64 (pow.f64 eps 2) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))) (pow.f64 x 2))) (*.f64 eps (*.f64 x (expm1.f64 (neg.f64 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 1/2 (pow.f64 x 2))) (*.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) (pow.f64 x 3)))))))
(+.f64 1 (+.f64 (fma.f64 eps (*.f64 x (expm1.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 2) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))) (pow.f64 x 2))) (*.f64 (pow.f64 eps 3) (*.f64 1/6 (fma.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)) (neg.f64 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/6 (pow.f64 x 3))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) x)
(*.f64 -1/2 (/.f64 x eps))
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2
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(+.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (-.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x))) (*.f64 2 (exp.f64 (fma.f64 eps x x))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) 0) (-.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 1 eps)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 eps 2)) (pow.f64 (exp.f64 x) (+.f64 eps (+.f64 1 eps)))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 eps 2)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 1 eps))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 eps 2)) (pow.f64 (exp.f64 x) (+.f64 eps (+.f64 1 eps)))) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 eps 2)) (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)) (+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)) (+.f64 (pow.f64 (exp.f64 x) (*.f64 eps 2)) (-.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2) (pow.f64 (exp.f64 x) (+.f64 eps (+.f64 1 eps))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 1)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 3)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3) 1/3)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 2)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x))))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) 1))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (fma.f64 eps x x)))

eval312.0ms (2.6%)

Compiler

Compiled 13742 to 9290 computations (32.4% saved)

prune108.0ms (0.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New53310543
Fresh178
Picked415
Done033
Total53821559
Accuracy
100.0%
Counts
559 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
17.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
15.0%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
17.2%
(/.f64 (/.f64 0 eps) 2)
33.3%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
59.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
72.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
72.7%
(/.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)
71.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
63.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
83.3%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
33.6%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
66.3%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
32.1%
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
43.5%
(/.f64 (-.f64 2 x) 2)
64.0%
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
90.2%
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
32.1%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
36.6%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
61.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
43.9%
(/.f64 2 2)
Compiler

Compiled 673 to 542 computations (19.5% saved)

localize204.0ms (1.7%)

Localize:

Found 9 expressions with local error:

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

Compiled 224 to 139 computations (37.9% saved)

series8.0ms (0.1%)

Counts
7 → 144
Calls

42 calls:

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

rewrite118.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
570×expm1-udef
570×log1p-udef
392×associate-*r*
262×associate-*l*
225×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030211
1501195
27484195
Stop Event
node limit
Counts
7 → 239
Calls
Call 1
Inputs
(*.f64 x (+.f64 -1 eps))
(exp.f64 (*.f64 eps (neg.f64 x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps))))
(/.f64 (expm1.f64 x) eps)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
Outputs
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 (*.f64 x eps) -1))
(+.f64 (*.f64 x (+.f64 eps 1)) (log.f64 -1))
(+.f64 (*.f64 x eps) x)
(+.f64 0 (*.f64 x (+.f64 eps 1)))
(+.f64 (log.f64 -1) (*.f64 x (+.f64 eps 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(-.f64 0 (*.f64 x (+.f64 eps 1)))
(-.f64 0 (-.f64 x (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps 1)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (*.f64 x eps) 2)) (-.f64 x (*.f64 x eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 -1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 2))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (+.f64 (pow.f64 eps 2) eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 -1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (pow.f64 eps 2) eps)))
(pow.f64 (*.f64 x (+.f64 eps 1)) 1)
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) -1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))

simplify169.0ms (1.4%)

Algorithm
egg-herbie
Rules
880×fma-neg
856×fma-def
648×associate-*r*
598×log-prod
586×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060515969
1156215308
2609315300
Stop Event
node limit
Counts
383 → 396
Calls
Call 1
Inputs
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (-.f64 eps 1))
(*.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))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(exp.f64 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 eps)) 1)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)))) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 eps x))) (exp.f64 (*.f64 x (-.f64 eps 1))))
(/.f64 x eps)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 x eps))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 x eps)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) eps)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 x eps))))
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(*.f64 1/2 (/.f64 x eps))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)) (*.f64 1/2 (/.f64 x eps)))
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)) (*.f64 1/2 (/.f64 x eps))))
(+.f64 (*.f64 1/48 (/.f64 (pow.f64 x 4) eps)) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)) (*.f64 1/2 (/.f64 x eps)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (expm1.f64 x) eps) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 2)
(pow.f64 (/.f64 eps (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 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)))
(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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))) 1)
(-.f64 (/.f64 (exp.f64 x) (*.f64 eps 2)) (/.f64 1 (*.f64 eps 2)))
(*.f64 (expm1.f64 x) (/.f64 1 (*.f64 eps 2)))
(*.f64 (expm1.f64 x) (*.f64 (/.f64 1 eps) 1/2))
(*.f64 (/.f64 (expm1.f64 x) eps) 1/2)
(*.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(*.f64 1 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps) -1/2)
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 2) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2)
(pow.f64 (*.f64 (/.f64 2 (expm1.f64 x)) eps) -1)
(neg.f64 (/.f64 (/.f64 (expm1.f64 x) eps) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) -1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (+.f64 eps 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
Outputs
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
1
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
(+.f64 1 (*.f64 x (neg.f64 eps)))
(fma.f64 x (neg.f64 eps) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 x (neg.f64 eps))))
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(+.f64 1 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1/6 (pow.f64 (*.f64 x eps) 3) (*.f64 (*.f64 1/2 (pow.f64 eps 2)) (pow.f64 x 2)))))
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2
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(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps)) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 eps 1)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps)) 2) (pow.f64 (exp.f64 x) (+.f64 eps (+.f64 eps 1))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2) (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps -1))) (pow.f64 (exp.f64 x) (*.f64 eps 2))) (-.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps)))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 1)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 3)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3) 1/3)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 2)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 2))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps)) 2))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps)) 3))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))) 1))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (pow.f64 (exp.f64 x) eps))

eval211.0ms (1.8%)

Compiler

Compiled 12189 to 7736 computations (36.5% saved)

prune107.0ms (0.9%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New5977604
Fresh3912
Picked235
Done044
Total60223625
Accuracy
100.0%
Counts
625 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
17.1%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
15.0%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
3.2%
(/.f64 (/.f64 x eps) 2)
17.2%
(/.f64 (/.f64 0 eps) 2)
33.3%
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
59.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
72.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
72.7%
(/.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)
71.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
63.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
83.3%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
33.6%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
32.1%
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
43.5%
(/.f64 (-.f64 2 x) 2)
56.4%
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
66.3%
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
83.7%
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2)
32.1%
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
51.8%
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
64.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
61.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
43.9%
(/.f64 2 2)
Compiler

Compiled 1007 to 772 computations (23.3% saved)

regimes73.0ms (0.6%)

Counts
39 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 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 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 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)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.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)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Calls

4 calls:

37.0ms
eps
19.0ms
x
7.0ms
(-.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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
AccuracySegmentsBranch
98.2%1x
100.0%2eps
98.2%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)
98.2%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 66 to 52 computations (21.2% saved)

regimes39.0ms (0.3%)

Counts
37 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 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 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 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)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Calls

1 calls:

35.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 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 (exp.f64 (*.f64 -1 (*.f64 (neg.f64 x) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
Outputs
(/.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 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
Calls

1 calls:

33.0ms
eps
Results
AccuracySegmentsBranch
99.9%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.3%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
Calls

2 calls:

16.0ms
eps
15.0ms
x
Results
AccuracySegmentsBranch
90.2%1x
90.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes45.0ms (0.4%)

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

2 calls:

27.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
89.0%2x
83.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.3%)

Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (-.f64 1 x)) eps) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (/.f64 1 eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.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) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 0 eps) 2)
Calls

1 calls:

37.0ms
x
Results
AccuracySegmentsBranch
87.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 0 eps) 2)
Calls

2 calls:

23.0ms
x
22.0ms
eps
Results
AccuracySegmentsBranch
64.4%3eps
81.3%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
11 → 4
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 2 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 0 eps) 2)
Calls

1 calls:

26.0ms
x
Results
AccuracySegmentsBranch
75.6%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (/.f64 0 eps) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) 2)
(/.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 0 eps) 2)
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
69.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
66.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

2 calls:

8.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
43.9%1eps
58.6%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.5b remaining (-1.5%)

Threshold costs -0.5b (-1.5%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
43.9%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
20.0ms
9.317517783469998e-23
3.1902062490591615e-16
Results
16.0ms96×body256valid
2.0ms17×body256unsamplable
Compiler

Compiled 366 to 281 computations (23.2% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
9.317517783469998e-23
3.1902062490591615e-16
Results
10.0ms63×body256valid
1.0ms11×body256unsamplable
0.0msbody256infinite
Compiler

Compiled 252 to 197 computations (21.8% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
4.583552720702542e-6
0.005403678320869149
Results
20.0ms127×body256valid
4.0ms29×body256unsamplable
0.0msbody256infinite
Compiler

Compiled 372 to 285 computations (23.4% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.4072562494386964e+150
1.1396424663653684e+154
Results
13.0ms55×body256valid
11.0ms73×body256infinite
Compiler

Compiled 220 to 173 computations (21.4% saved)

bsearch74.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
60.0ms
1.4072562494386964e+150
1.1396424663653684e+154
14.0ms
-9.267750574675368e-257
-3.775894002504903e-257
Results
52.0ms90×body256valid
10.0ms64×body256infinite
5.0ms13×body1024valid
2.0msbody2048valid
2.0msbody512valid
Compiler

Compiled 282 to 239 computations (15.2% saved)

bsearch80.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.4072562494386964e+150
1.1396424663653684e+154
58.0ms
-3.848240715354006e+30
-84097122.90719481
Results
33.0ms212×body256infinite
14.0ms31×body1024infinite
14.0ms57×body256unsamplable
7.0ms16×body512infinite
7.0ms45×body256valid
Compiler

Compiled 457 to 382 computations (16.4% saved)

bsearch86.0ms (0.7%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.4072562494386964e+150
1.1396424663653684e+154
25.0ms
59318671345.01679
13257178261600540.0
47.0ms
-3.848240715354006e+30
-84097122.90719481
Results
47.0ms280×body256infinite
14.0ms86×body256valid
13.0ms25×body1024infinite
4.0ms34×body256unsamplable
3.0msbody512infinite
Compiler

Compiled 432 to 370 computations (14.4% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
3.0ms
1.4072562494386964e+150
1.1396424663653684e+154
24.0ms
2.1406401956228142e-8
9.054367650394775e-8
Results
10.0ms62×body256infinite
7.0ms16×body1024valid
3.0ms21×body256valid
3.0ms11×body512valid
1.0msbody2048valid
Compiler

Compiled 185 to 151 computations (18.4% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
2.1406401956228142e-8
9.054367650394775e-8
Results
11.0ms23×body1024valid
8.0ms54×body256infinite
3.0msbody512valid
1.0msbody2048valid
1.0msbody256valid
Compiler

Compiled 162 to 137 computations (15.4% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
1.0056726853364212e-7
78733.58216112382
Results
15.0ms35×body1024valid
14.0ms84×body256infinite
7.0ms25×body512valid
2.0ms14×body256valid
1.0msbody2048valid
Compiler

Compiled 196 to 169 computations (13.8% saved)

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
186×distribute-lft-neg-in
122×distribute-neg-in
118×unsub-neg
98×neg-mul-1
90×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271164
12101144
22841128
34011128
44741128
55691128
66651128
77211128
87551128
97661128
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 eps 3112888062438487/576460752303423488) (/.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 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2))
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x -1352433999707303/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2) (if (<=.f64 x 330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 60000000000) (/.f64 2 2) (if (<=.f64 x 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2))))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2) (if (<=.f64 x 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 2) (/.f64 (-.f64 2 x) 2) (/.f64 (/.f64 0 eps) 2))
(/.f64 2 2)
Outputs
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (neg.f64 x) (*.f64 eps x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2))
(if (<=.f64 eps 2028240960365167/10141204801825835211973625643008) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (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) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2))
(if (<=.f64 eps 2028240960365167/40564819207303340847894502572032) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2))
(if (<=.f64 eps 3112888062438487/576460752303423488) (/.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 (exp.f64 (*.f64 eps x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2))
(if (<=.f64 eps 3112888062438487/576460752303423488) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 3112888062438487/576460752303423488) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1)))) 2))
(if (<=.f64 eps 3112888062438487/576460752303423488) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2))
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x (+.f64 eps -1)))) 2)
(if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (*.f64 x eps))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 eps (neg.f64 x)))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x -1352433999707303/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2) (if (<=.f64 x 330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -1352433999707303/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2) (if (<=.f64 x 330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1)))) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 60000000000) (/.f64 2 2) (if (<=.f64 x 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2))))
(if (<=.f64 x -85000000) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 60000000000) 1 (if (<=.f64 x 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2))))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2) (if (<=.f64 x 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (-.f64 2 (*.f64 x (+.f64 eps 1))) 2) (if (<=.f64 x 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (*.f64 x (-.f64 -1 eps))) 2) (if (<=.f64 x 1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (/.f64 0 eps) 2)))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (neg.f64 (*.f64 x (+.f64 eps 1)))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (-.f64 2 (*.f64 x (+.f64 eps 1))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 6800207735332289/75557863725914323419136) (/.f64 (+.f64 2 (*.f64 x (-.f64 -1 eps))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 2) (/.f64 (-.f64 2 x) 2) (/.f64 (/.f64 0 eps) 2))
(/.f64 2 2)
1
Compiler

Compiled 344 to 260 computations (24.4% saved)

soundness2.3s (19.4%)

Rules
1818×div-sub
1818×div-sub
1486×times-frac
1486×times-frac
1424×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069785
1203721
2611666
32091658
47321658
075124191
1218724191
039812485
1107811820
2425111107
065018089
1180616108
2675415988
069785
1203721
2611666
32091658
47321658
060515969
1156215308
2609315300
042239
1787201
065018089
1180616108
2675415988
065018089
1180616108
2675415988
065018089
1180616108
2675415988
060515969
1156215308
2609315300
039812485
1107811820
2425111107
065018089
1180616108
2675415988
060515969
1156215308
2609315300
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
Compiler

Compiled 965 to 709 computations (26.5% saved)

end0.0ms (0%)

preprocess223.0ms (1.9%)

Compiler

Compiled 806 to 564 computations (30% saved)

Profiling

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