NMSE Section 6.1 mentioned, A

Time bar (total: 15.2s)

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)

sample2.0s (13.2%)

Results
587.0ms3507×body256infinite
537.0ms1143×body1024valid
481.0ms2883×body256valid
160.0ms568×body512valid
125.0ms919×body256unsamplable
93.0ms136×body2048valid
7.0ms16×body1024infinite
1.0msbody512infinite
Bogosity

preprocess279.0ms (1.8%)

Algorithm
egg-herbie
Rules
1694×div-sub
1486×times-frac
1224×fma-def
782×associate-/l*
652×sub-neg
Problems
186×No Errors
70×(-.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: 2 (0.0ms)

IterNodesCost
064453
1190421
2580365
31928365
46678365
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.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 (-.f64 1 eps)) x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 -1 x)) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 (neg.f64 x) -1)) eps))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
Symmetry

(abs eps)

Compiler

Compiled 175 to 132 computations (24.6% saved)

eval2.0ms (0%)

Compiler

Compiled 109 to 78 computations (28.4% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(/.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)
73.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
73.5%
(/.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)
68.1%
(/.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)
73.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
73.5%
(/.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 170 to 126 computations (25.9% saved)

localize928.0ms (6.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
94.5%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
73.5%
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
100.0%
(-.f64 (*.f64 eps x) x)
73.5%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
73.5%
(-.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 337 to 192 computations (43% saved)

series72.0ms (0.5%)

Counts
10 → 240
Calls

60 calls:

TimeVariablePointExpression
31.0ms
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))))
12.0ms
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))))
3.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.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
eps
@0
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))

rewrite108.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
804×add-sqr-sqrt
798×pow1
796×*-un-lft-identity
748×add-exp-log
748×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035404
1788392
Stop Event
node limit
Counts
10 → 209
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 eps) (neg.f64 x))
(*.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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 eps x) x)
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x 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) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))) 1)))
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(*.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)))))
(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 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) -1)
(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))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (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)))))

simplify206.0ms (1.4%)

Algorithm
egg-herbie
Rules
1286×fma-def
1140×associate-*r*
578×associate-+r+
560×associate-+l+
498×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079725781
1241822189
Stop Event
node limit
Counts
449 → 415
Calls
Call 1
Inputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
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2
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(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(+.f64 (*.f64 eps x) (neg.f64 x))
(+.f64 (-.f64 (*.f64 eps x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 0 (-.f64 (*.f64 eps x) x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps -1) 2))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps -1) 2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (fma.f64 1 (*.f64 eps x) (neg.f64 (*.f64 x 1))) (fma.f64 (neg.f64 x) 1 (*.f64 x 1)))
(+.f64 (fma.f64 1 (*.f64 eps x) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 eps x (neg.f64 (*.f64 x 1))) (fma.f64 (neg.f64 x) 1 (*.f64 x 1)))
(+.f64 (fma.f64 eps x (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 x eps (neg.f64 (*.f64 x 1))) (fma.f64 (neg.f64 x) 1 (*.f64 x 1)))
(+.f64 (fma.f64 x eps (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 (*.f64 x 1))) (fma.f64 (neg.f64 x) 1 (*.f64 x 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 (*.f64 x 1))) (fma.f64 (neg.f64 x) 1 (*.f64 x 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 1 (-.f64 (*.f64 eps x) x))
(*.f64 x (+.f64 eps -1))
(*.f64 (+.f64 eps -1) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2) (cbrt.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) (sqrt.f64 (-.f64 (*.f64 eps x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (fma.f64 x x (*.f64 (*.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (fma.f64 eps x x))
(pow.f64 (-.f64 (*.f64 eps x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) 2)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 eps x) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps x) x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 1 (*.f64 eps x) (neg.f64 x))
(fma.f64 eps x (neg.f64 x))
(fma.f64 x eps (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 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)) (/.f64 1 (exp.f64 (fma.f64 eps x x))))
(*.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 (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)))))
(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 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) -1)
(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))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (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)))))
(+.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(pow.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
(log.f64 (exp.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps -1) 2)) (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps -1) 2)))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.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 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(-.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)) (/.f64 1 (exp.f64 (fma.f64 eps x x))))
(*.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 (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)))))
(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 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) -1)
(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))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (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 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x)))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 -1/6 (pow.f64 x 3))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
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2
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(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
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2
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(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2)
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(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 -1 eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (+.f64 -1 eps)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 (*.f64 2 eps)))
(/.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 1))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 1 (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 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 1 (exp.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.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)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps 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)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) -1)
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 -1 eps))))
(log.f64 (exp.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 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.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 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(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 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log1p.f64 (expm1.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 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))

eval323.0ms (2.1%)

Compiler

Compiled 18959 to 12191 computations (35.7% saved)

prune94.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4549463
Fresh000
Picked303
Done000
Total4579466
Accuracy
100.0%
Counts
466 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.6%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
38.4%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
99.1%
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
36.9%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.6%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
38.4%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
99.1%
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
Compiler

Compiled 728 to 572 computations (21.4% saved)

localize433.0ms (2.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(-.f64 (*.f64 x eps) x)
99.8%
(*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))
69.0%
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
74.5%
(-.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 1 eps) (neg.f64 x))
Compiler

Compiled 389 to 240 computations (38.3% saved)

series7.0ms (0%)

Counts
5 → 108
Calls

27 calls:

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

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
686×add-sqr-sqrt
680×pow1
680×*-un-lft-identity
638×add-exp-log
638×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029203
1680175
Stop Event
node limit
Counts
5 → 167
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))
(-.f64 (*.f64 x eps) x)
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
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(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))

simplify152.0ms (1%)

Algorithm
egg-herbie
Rules
970×fma-def
888×associate-*r*
780×associate-*l*
538×associate-+r+
524×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065616849
1202914351
Stop Event
node limit
Counts
275 → 358
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
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(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
2
(+.f64 2 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)))))))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (/.f64 1 eps))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 1 (+.f64 x (+.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 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 x (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))) eps)) (*.f64 eps x))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 x (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))) eps)) (*.f64 eps x))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))))
(+.f64 2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1)))) (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))))) (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))))
(*.f64 -1 (/.f64 x eps))
(+.f64 x (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 x eps))))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(*.f64 eps x)
(+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(*.f64 eps x)
(+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 eps x))))
(*.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 (*.f64 x (+.f64 1 (*.f64 -1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
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(*.f64 x (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
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(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x))))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x))))
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(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
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(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))))) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (/.f64 x (exp.f64 x))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (/.f64 1 eps))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))) eps))))
(+.f64 1 (-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) eps)))
2
(+.f64 2 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))))
(+.f64 2 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (fma.f64 -1 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)))))))
(+.f64 2 (fma.f64 -1 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)))))))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) (+.f64 2 (fma.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)))))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (/.f64 1 eps))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 1 (+.f64 x (fma.f64 -1 x (fma.f64 -1 (/.f64 x eps) (/.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 (+.f64 x (+.f64 (-.f64 (/.f64 (-.f64 1 x) eps) x) 1)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 1 (-.f64 (+.f64 x (fma.f64 -1 x (fma.f64 -1 (/.f64 x eps) (fma.f64 eps (-.f64 x (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.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 (+.f64 (+.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x))))))) (-.f64 x x)) (-.f64 1 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (+.f64 1 (+.f64 x (+.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 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 1 (-.f64 (+.f64 x (fma.f64 -1 x (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (neg.f64 x))))) (fma.f64 -1 (/.f64 x eps) (fma.f64 eps (-.f64 x (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.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 (+.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x))))))) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/6 (pow.f64 x 3))))))) (-.f64 x x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(+.f64 1 (-.f64 (+.f64 x (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(+.f64 (+.f64 1 (fma.f64 x (+.f64 -1 eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (+.f64 x (fma.f64 -1 x (fma.f64 -1 (/.f64 x eps) (fma.f64 eps x (/.f64 1 eps))))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 1 (+.f64 x (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 x) eps) x) (*.f64 x eps)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) (+.f64 (*.f64 eps x) (/.f64 1 eps)))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (+.f64 x (fma.f64 -1 x (fma.f64 -1 (/.f64 x eps) (fma.f64 eps x (/.f64 1 eps))))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 1 (+.f64 x (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 x) eps) x) (*.f64 x eps)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
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(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 x eps x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(fma.f64 1 (*.f64 eps x) x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 x eps x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) x)
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) x)
(fma.f64 x eps x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (-.f64 x 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (-.f64 x 1) (exp.f64 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(fabs.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))

eval366.0ms (2.4%)

Compiler

Compiled 20180 to 13835 computations (31.4% saved)

prune392.0ms (2.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New57111582
Fresh044
Picked415
Done000
Total57516591
Accuracy
100.0%
Counts
591 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
13.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
24.2%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
43.4%
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
44.1%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
28.9%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
80.5%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
39.0%
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
64.2%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
12.3%
(/.f64 (*.f64 x eps) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
2.3%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
13.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
24.2%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
43.4%
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
44.1%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
28.9%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
80.5%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
39.0%
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
64.2%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
12.3%
(/.f64 (*.f64 x eps) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
Compiler

Compiled 1110 to 886 computations (20.2% saved)

localize1.3s (8.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
100.0%
(*.f64 (*.f64 x x) -1/2)
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
92.6%
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
79.2%
(-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))
100.0%
(-.f64 (*.f64 x eps) x)
99.9%
(*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))
99.8%
(*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))
18.6%
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
Compiler

Compiled 393 to 239 computations (39.2% saved)

series14.0ms (0.1%)

Counts
6 → 96
Calls

27 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (*.f64 x x) -1/2)
1.0ms
eps
@0
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
1.0ms
eps
@inf
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
1.0ms
eps
@-inf
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
1.0ms
x
@0
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))

rewrite110.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
874×add-sqr-sqrt
862×pow1
862×*-un-lft-identity
812×add-exp-log
812×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034230
1831230
Stop Event
node limit
Counts
6 → 102
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
(*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(*.f64 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
Outputs
(+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 eps x) x)) (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))
(+.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))
(+.f64 (-.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))) (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps))) 1)
(+.f64 (fma.f64 1 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (*.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1) 1))) (fma.f64 (neg.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) 1 (*.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1) 1)))
(+.f64 (fma.f64 1 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))))))
(+.f64 (fma.f64 1 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (sqrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1) 1))) (fma.f64 (neg.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) 1 (*.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (cbrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 eps x) x) 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1))) (sqrt.f64 (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)) (+.f64 (fma.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps)) -1)))
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(cbrt.f64 (*.f64 (*.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))) (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (-.f64 1 x) eps) (/.f64 (exp.f64 (neg.f64 x)) eps))
(*.f64 1 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps))
(*.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) (/.f64 1 eps))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)) (cbrt.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps))) (cbrt.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)) (sqrt.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(pow.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)) (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(exp.f64 (log.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(log.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 x (*.f64 x -1/2))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1))) (fma.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) 1 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) -1 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (fma.f64 1 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1))) (fma.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) 1 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) -1 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1))) (fma.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) 1 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) -1 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(*.f64 1 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(pow.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))

simplify167.0ms (1.1%)

Algorithm
egg-herbie
Rules
912×fma-neg
586×associate-*l*
584×associate-*r*
502×fma-def
464×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03949154
111587538
246317326
Stop Event
node limit
Counts
198 → 210
Calls
Call 1
Inputs
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (+.f64 x (*.f64 -1 x)))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (neg.f64 x)))
(*.f64 -1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x)))
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(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1))) (fma.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) 1 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) -1 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(*.f64 1 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(pow.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
Outputs
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
(+.f64 2 (+.f64 x (*.f64 -1 x)))
(+.f64 2 (*.f64 0 x))
2
2
(+.f64 2 (*.f64 0 x))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))
(*.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(fma.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 -1 eps) (-.f64 (/.f64 (+.f64 1 eps) eps) (+.f64 1 eps))) 2)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(*.f64 (neg.f64 x) (fma.f64 (+.f64 1 (neg.f64 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))
(*.f64 x (neg.f64 (+.f64 (-.f64 1 eps) (-.f64 (/.f64 (-.f64 1 eps) eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps)))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 (neg.f64 x) (fma.f64 (+.f64 1 (neg.f64 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (+.f64 (-.f64 1 eps) (-.f64 (/.f64 (-.f64 1 eps) eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps)))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 (neg.f64 x) (fma.f64 (+.f64 1 (neg.f64 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (+.f64 (-.f64 1 eps) (-.f64 (/.f64 (-.f64 1 eps) eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps)))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 (neg.f64 x) (fma.f64 (+.f64 1 (neg.f64 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (+.f64 (-.f64 1 eps) (-.f64 (/.f64 (-.f64 1 eps) eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))))
(-.f64 2 (*.f64 x (fma.f64 (/.f64 (+.f64 1 eps) eps) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 -1 eps)))))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 x eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 x eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/2) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (neg.f64 x)))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1))) (fma.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) 1 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) -1 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (sqrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 1 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (sqrt.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) 3) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 x 1))) 3)) (fma.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 x 1))) (-.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) (pow.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 3)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x)) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x))) (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) (pow.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 3)) (fma.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 x) (exp.f64 x)))) (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (*.f64 x (*.f64 x -1/2)))) (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))) (+.f64 1 (fma.f64 x (*.f64 x -1/2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (-.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (*.f64 x -1/2) 1)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 6)) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (*.f64 x -1/2) 1)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 6)) (+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 x) (exp.f64 x)))))
(pow.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) 1)
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(log.f64 (exp.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))) (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(exp.f64 (log.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)))))
(+.f64 (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (/.f64 (+.f64 x 1) (exp.f64 x))))

eval259.0ms (1.7%)

Compiler

Compiled 14192 to 9735 computations (31.4% saved)

prune103.0ms (0.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New3556361
Fresh1910
Picked235
Done011
Total35819377
Accuracy
100.0%
Counts
377 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
1.7%
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
2.7%
(/.f64 (/.f64 (neg.f64 x) eps) 2)
13.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
28.3%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
30.6%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
28.9%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
80.5%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
43.0%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
45.1%
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
39.0%
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
64.2%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
12.3%
(/.f64 (*.f64 x eps) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
2.3%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
1.7%
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
2.7%
(/.f64 (/.f64 (neg.f64 x) eps) 2)
13.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
28.3%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
30.6%
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
28.9%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
80.5%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
43.0%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
45.1%
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
39.0%
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
64.2%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
12.3%
(/.f64 (*.f64 x eps) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
Compiler

Compiled 1192 to 946 computations (20.6% saved)

localize631.0ms (4.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)))
74.5%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1))
100.0%
(+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps))
99.9%
(*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))
99.8%
(*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))
54.6%
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
86.9%
(/.f64 (*.f64 x (*.f64 x -1/2)) eps)
100.0%
(/.f64 (*.f64 x eps) 2)
100.0%
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
100.0%
(*.f64 x (+.f64 -1 eps))
Compiler

Compiled 326 to 228 computations (30.1% saved)

series13.0ms (0.1%)

Counts
9 → 207
Calls

54 calls:

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

rewrite132.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
830×add-sqr-sqrt
812×pow1
812×*-un-lft-identity
772×add-exp-log
772×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034293
1809283
Stop Event
node limit
Counts
9 → 170
Calls
Call 1
Inputs
(*.f64 x (+.f64 -1 eps))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps))))
(/.f64 (*.f64 x eps) 2)
(/.f64 (*.f64 x (*.f64 x -1/2)) eps)
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1))
(*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 0 (*.f64 x (+.f64 -1 eps)))
(+.f64 (*.f64 x -1) (*.f64 x 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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps)))) 1)
(pow.f64 (*.f64 x (+.f64 -1 eps)) 1)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x (+.f64 -1 eps))) (*.f64 x (+.f64 -1 eps))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 x (+.f64 -1 eps))))
(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 1 (neg.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 x eps))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) (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 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(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 (*.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(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))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x eps) 1/2))) 1)
(*.f64 1 (*.f64 (*.f64 x eps) 1/2))
(*.f64 (*.f64 x eps) 1/2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x eps) 1/2)) (cbrt.f64 (*.f64 (*.f64 x eps) 1/2))) (cbrt.f64 (*.f64 (*.f64 x eps) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x eps) 1/2)) (sqrt.f64 (*.f64 (*.f64 x eps) 1/2)))
(pow.f64 (*.f64 (*.f64 x eps) 1/2) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 x eps) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x eps) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) 1/2) (*.f64 (*.f64 x eps) 1/2)) (*.f64 (*.f64 x eps) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x eps) 1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x eps) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x eps) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2))))) 1)
(*.f64 1 (/.f64 x (/.f64 eps (*.f64 x -1/2))))
(*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 eps))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))) (cbrt.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2))))) (cbrt.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))) (sqrt.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(pow.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2))) 1)
(log.f64 (exp.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2))) (/.f64 x (/.f64 eps (*.f64 x -1/2)))) (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 eps (*.f64 x -1/2)))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 x)) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (-.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (-.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (/.f64 1 eps))) 1)
(+.f64 (fma.f64 1 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 1 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (*.f64 (fma.f64 -1 x 1) (+.f64 1 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))))))
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(+.f64 (fma.f64 1 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (fma.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (/.f64 1 eps) -1) (*.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (/.f64 1 eps) -1)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 eps) -1)))
(pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(log.f64 (/.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(exp.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(fma.f64 1 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) 1)
(pow.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))

simplify218.0ms (1.4%)

Algorithm
egg-herbie
Rules
1010×fma-neg
760×associate-*r*
740×associate-*l*
594×fma-def
572×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054015109
1146713163
2581012047
Stop Event
node limit
Counts
377 → 316
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))
2
(+.f64 2 (*.f64 x (-.f64 eps 1)))
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(+.f64 2 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
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(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
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(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
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(*.f64 1/2 (*.f64 eps x))
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(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
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(*.f64 1/2 (*.f64 eps x))
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(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
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(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
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(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
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(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 eps x))))
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(*.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 (/.f64 1 eps))))
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(fma.f64 -1 (*.f64 x (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 1 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))) (/.f64 1 eps))
(fma.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)) (/.f64 1 eps))
(fma.f64 (*.f64 x (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))) -1 (/.f64 1 eps))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))))) (cbrt.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)))) (/.f64 1 eps))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 eps)) (cbrt.f64 (/.f64 1 eps))) (cbrt.f64 (/.f64 1 eps)) (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1)))) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 (/.f64 1 eps)) (*.f64 (neg.f64 x) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (fma.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (/.f64 1 eps) -1) (*.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (fma.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (/.f64 1 eps) -1)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 eps) -1)))
(pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(log.f64 (/.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(exp.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(fma.f64 1 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))) 1)
(pow.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
Outputs
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 x (-.f64 eps 1))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 x (+.f64 eps -1))
(fma.f64 x eps (neg.f64 x))
2
(+.f64 2 (*.f64 x (-.f64 eps 1)))
(+.f64 2 (*.f64 x (+.f64 eps -1)))
(fma.f64 x (+.f64 eps -1) 2)
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1))))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x (+.f64 eps -1))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (fma.f64 x eps (neg.f64 x)) 2) (fma.f64 x eps (neg.f64 x))))
(+.f64 2 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
(+.f64 2 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (*.f64 x (+.f64 eps -1)))))
(+.f64 2 (fma.f64 1/6 (pow.f64 (fma.f64 x eps (neg.f64 x)) 3) (fma.f64 1/2 (pow.f64 (fma.f64 x eps (neg.f64 x)) 2) (fma.f64 x eps (neg.f64 x)))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (exp.f64 (fma.f64 x eps (neg.f64 x))))
(+.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 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
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(/.f64 (+.f64 (exp.f64 (+.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))) (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (/.f64 -1 eps) 1))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x)) (+.f64 -1 (/.f64 1 eps))))
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(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
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(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
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(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) x))

eval205.0ms (1.3%)

Compiler

Compiled 10556 to 7751 computations (26.6% saved)

prune88.0ms (0.6%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New3239332
Fresh4610
Picked325
Done044
Total33021351
Accuracy
100.0%
Counts
351 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
1.7%
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
28.9%
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
49.2%
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
30.8%
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
62.2%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.9%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.4%
(/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
80.5%
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
43.0%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
43.4%
(/.f64 (-.f64 2 x) 2)
62.6%
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
45.1%
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
43.6%
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
52.1%
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
64.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
54.8%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
9.3%
(/.f64 (*.f64 (neg.f64 eps) x) 2)
12.3%
(/.f64 (*.f64 x eps) 2)
44.0%
(/.f64 2 2)
21.1%
(/.f64 0 2)
Compiler

Compiled 961 to 701 computations (27.1% saved)

regimes79.0ms (0.5%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 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 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.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 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
Calls

4 calls:

21.0ms
eps
20.0ms
x
7.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
99.1%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
99.1%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 723 to 514 computations (28.9% saved)

regimes113.0ms (0.7%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 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 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
Outputs
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
Calls

2 calls:

68.0ms
x
34.0ms
eps
Results
AccuracySegmentsBranch
88.9%4x
100.0%2eps
Compiler

Compiled 489 to 345 computations (29.4% saved)

regimes142.0ms (0.9%)

Counts
31 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 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 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 0 2)
Calls

2 calls:

70.0ms
x
49.0ms
eps
Results
AccuracySegmentsBranch
88.9%4x
82.1%2eps
Compiler

Compiled 472 to 336 computations (28.8% saved)

regimes111.0ms (0.7%)

Counts
30 → 6
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 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 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Outputs
(/.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 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 0 2)
Calls

1 calls:

98.0ms
x
Results
AccuracySegmentsBranch
89.1%6x
Compiler

Compiled 454 to 326 computations (28.2% saved)

regimes167.0ms (1.1%)

Counts
28 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 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)
Outputs
(/.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 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 0 2)
Calls

2 calls:

83.0ms
x
74.0ms
eps
Results
AccuracySegmentsBranch
69.7%5eps
84.8%5x
Compiler

Compiled 400 to 288 computations (28% saved)

regimes84.0ms (0.6%)

Counts
27 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 x)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.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 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 0 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2)
(/.f64 0 2)
Calls

1 calls:

73.0ms
x
Results
AccuracySegmentsBranch
83.8%5x
Compiler

Compiled 376 to 270 computations (28.2% saved)

regimes121.0ms (0.8%)

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

1 calls:

114.0ms
x
Results
AccuracySegmentsBranch
83.7%5x
Compiler

Compiled 256 to 185 computations (27.7% saved)

regimes52.0ms (0.3%)

Counts
18 → 4
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
(/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) eps) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) eps)) (*.f64 1/2 (*.f64 x (+.f64 x (/.f64 x eps))))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (neg.f64 x) eps)) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (-.f64 (+.f64 (*.f64 -1 (*.f64 x (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1)))) (/.f64 1 eps)) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 0 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2)
(/.f64 0 2)
Calls

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
76.2%4x
Compiler

Compiled 248 to 180 computations (27.4% saved)

regimes49.0ms (0.3%)

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

1 calls:

43.0ms
x
Results
AccuracySegmentsBranch
71.2%4x
Compiler

Compiled 234 to 171 computations (26.9% saved)

regimes33.0ms (0.2%)

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

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
70.5%4x
Compiler

Compiled 82 to 60 computations (26.8% saved)

regimes35.0ms (0.2%)

Counts
8 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2)
Outputs
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 0 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 0 2)
Calls

1 calls:

33.0ms
x
Results
AccuracySegmentsBranch
71.3%5x
Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes28.0ms (0.2%)

Counts
6 → 5
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (-.f64 2 x) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (/.f64 (neg.f64 x) eps) 2)
Outputs
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 2 2)
(/.f64 0 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 0 2)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
71.3%5x
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes40.0ms (0.3%)

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

2 calls:

20.0ms
x
19.0ms
eps
Results
AccuracySegmentsBranch
50.1%4eps
64.7%4x
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes15.0ms (0.1%)

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

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
64.7%4x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
62.3%2x
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes13.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

9.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
21.1%1eps
21.1%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.0624885023067867e-19
1.6336426868379853e-15
Results
22.0ms127×body256valid
2.0ms13×body256unsamplable
0.0msbody256infinite
Compiler

Compiled 340 to 253 computations (25.6% saved)

bsearch73.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.9800674975200363e+251
2.5668567409268274e+252
31.0ms
1.626933979997917e+184
2.657493248119786e+193
24.0ms
1.5709555008239177e+88
4.959456763378198e+90
Results
36.0ms207×body256infinite
32.0ms161×body256valid
Compiler

Compiled 513 to 444 computations (13.5% saved)

bsearch120.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
18.0ms
1.9800674975200363e+251
2.5668567409268274e+252
27.0ms
1.626933979997917e+184
2.657493248119786e+193
28.0ms
1.5709555008239177e+88
4.959456763378198e+90
12.0ms
-1.9612682043782e-255
-2.591154491151361e-262
35.0ms
-1013209.428582706
-466.2369916151091
Results
46.0ms274×body256infinite
43.0ms202×body256valid
13.0ms24×body1024valid
3.0ms11×body512infinite
3.0msbody1024infinite
2.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 941 to 792 computations (15.8% saved)

bsearch168.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.9800674975200363e+251
2.5668567409268274e+252
88.0ms
1.626933979997917e+184
2.657493248119786e+193
23.0ms
1.5709555008239177e+88
4.959456763378198e+90
40.0ms
-9.855922458119212e-26
-7.057835091503328e-28
Results
38.0ms249×body256infinite
33.0ms183×body256valid
17.0ms27×body1024valid
7.0msbody2048valid
4.0ms15×body512valid
Compiler

Compiled 702 to 607 computations (13.5% saved)

bsearch160.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
1.9800674975200363e+251
2.5668567409268274e+252
32.0ms
1.626933979997917e+184
2.657493248119786e+193
24.0ms
1.5709555008239177e+88
4.959456763378198e+90
46.0ms
-1.9612682043782e-255
-2.591154491151361e-262
Results
91.0ms262×body256valid
34.0ms207×body256infinite
20.0ms26×body1024valid
5.0msbody2048valid
3.0ms10×body512valid
Compiler

Compiled 646 to 566 computations (12.4% saved)

bsearch106.0ms (0.7%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.9800674975200363e+251
2.5668567409268274e+252
26.0ms
1.626933979997917e+184
2.657493248119786e+193
27.0ms
1.5709555008239177e+88
4.959456763378198e+90
44.0ms
-1.9612682043782e-255
-2.591154491151361e-262
Results
43.0ms226×body256valid
28.0ms182×body256infinite
18.0ms37×body1024valid
7.0ms16×body512valid
2.0msbody2048valid
Compiler

Compiled 565 to 491 computations (13.1% saved)

bsearch86.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
2.0834821969206365e+247
3.848620505761862e+250
30.0ms
1.626933979997917e+184
2.657493248119786e+193
27.0ms
1396244622808.2512
3830423229601953.5
Results
44.0ms212×body256infinite
35.0ms188×body256valid
Compiler

Compiled 623 to 540 computations (13.3% saved)

bsearch80.0ms (0.5%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
narrow-enough
Steps
TimeLeftRight
20.0ms
2.0834821969206365e+247
3.848620505761862e+250
26.0ms
1.626933979997917e+184
2.657493248119786e+193
34.0ms
0.012003360758332644
0.45128893996805786
Results
38.0ms191×body256infinite
16.0ms101×body256valid
13.0ms30×body1024valid
4.0ms12×body512valid
1.0msbody2048valid
Compiler

Compiled 540 to 456 computations (15.6% saved)

bsearch85.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.9800674975200363e+251
2.5668567409268274e+252
27.0ms
1.626933979997917e+184
2.657493248119786e+193
38.0ms
0.012003360758332644
0.45128893996805786
Results
35.0ms186×body256infinite
20.0ms125×body256valid
17.0ms29×body1024valid
3.0msbody2048valid
2.0msbody512valid
Compiler

Compiled 372 to 314 computations (15.6% saved)

bsearch142.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.9800674975200363e+251
2.5668567409268274e+252
30.0ms
1.626933979997917e+184
2.657493248119786e+193
49.0ms
0.45128893996805786
5523029017.116363
44.0ms
-0.0006723170500631845
-3.649470255295998e-8
Results
51.0ms265×body256infinite
33.0ms76×body1024valid
25.0ms146×body256valid
11.0ms31×body512valid
9.0ms10×body2048valid
Compiler

Compiled 558 to 469 computations (15.9% saved)

bsearch115.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.9800674975200363e+251
2.5668567409268274e+252
26.0ms
1.626933979997917e+184
2.657493248119786e+193
27.0ms
1396244622808.2512
3830423229601953.5
41.0ms
-0.0006723170500631845
-3.649470255295998e-8
Results
49.0ms264×body256infinite
34.0ms180×body256valid
19.0ms36×body1024valid
3.0ms12×body512valid
2.0msbody2048valid
Compiler

Compiled 462 to 409 computations (11.5% saved)

bsearch91.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.9800674975200363e+251
2.5668567409268274e+252
30.0ms
1.626933979997917e+184
2.657493248119786e+193
45.0ms
0.45128893996805786
5523029017.116363
Results
31.0ms203×body256infinite
28.0ms141×body256valid
15.0ms35×body1024valid
7.0msbody2048valid
4.0ms15×body512valid
Compiler

Compiled 386 to 339 computations (12.2% saved)

bsearch72.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.9800674975200363e+251
2.5668567409268274e+252
27.0ms
1.626933979997917e+184
2.657493248119786e+193
25.0ms
1396244622808.2512
3830423229601953.5
Results
38.0ms197×body256infinite
29.0ms171×body256valid
Compiler

Compiled 342 to 305 computations (10.8% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1396244622808.2512
3830423229601953.5
Results
10.0ms68×body256infinite
9.0ms60×body256valid
Compiler

Compiled 132 to 125 computations (5.3% saved)

simplify146.0ms (1%)

Algorithm
egg-herbie
Rules
292×distribute-lft-neg-in
158×neg-mul-1
146×distribute-neg-in
144×neg-sub0
142×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02011402
13141372
23731372
34251364
44861340
55481340
65851340
76191340
86591340
97281340
107981340
118581340
129071340
139501340
149931340
1510411340
1610861340
1711181340
1811371340
1911471340
2011501340
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(if (<=.f64 eps 2028240960365167/1267650600228229401496703205376) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2))
(if (<=.f64 x 4900000000000000299392822103621158326800676048780433517732180066977395412752625449547333632) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2) (if (<=.f64 x 18000000000000000689816273987598451707563612810318439193955319857837392131477864049425851499788806315530328254793787209751048184271131416643103802417503360172079149790110482288353476608) (/.f64 0 2) (if (<=.f64 x 369999999999999989883170558980551378405655778896063626792676533108549224492326875366991649853297282565917358687779187043978211877784656222954782118934859032142174662137733649355985202906267298363860303243186046347798671257911718980647011585022784176128) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 0 2))))
(if (<=.f64 x -470) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2) (if (<=.f64 x -8655577598126739/17311155196253478792473470072144416162409589179551630037089016513386050438978760195257704640926750732932690575139049592549616764829783999684625661246273604056134014861279398598040994371221141620425498063936264221627122591096883175058256589578798251261609200218857078729474048) (/.f64 (-.f64 (+.f64 1 (+.f64 x (+.f64 (*.f64 -1 x) (*.f64 eps x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2) (if (<=.f64 x 3800000000000000121411695039559333794663995256559403939832496149862032374184194218609606656) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 1050000000000000008789595775763731747594922572366334862006383488236844304534489567502973317553106601021546438382481191056574685492783958472759516558314424072025998309150644436408991744000) (/.f64 0 2) (if (<=.f64 x 1549999999999999909495661809301308111059866216243646799455335873541300551706882819204497002981328524393496245383991928647601466462998283131457554255148778938443591422489699749172226582477813285646218816689897642775977446748291155702062124215512732794880) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 0 2))))))
(if (<=.f64 x -4738908354687757/2787593149816327892691964784081045188247552) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2) (if (<=.f64 x 4600000000000000004136415495277176159859312092618076331849060307677685522707860096976683008) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 15500000000000000589815166572852509690133605941120579427109390743786153859465709264510456388826862269388752969208362577795104408643736669998483180270711457223111007595447697477582832271360) (/.f64 0 2) (if (<=.f64 x 899999999999999967141834411275455182019958400892162811551217349364593050850883126778470885973880231437600542673448651272122900327001973490458064361913834730262629378948634784468356333406940503305969459849444246786393855884698573515748384011269812781056) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 0 2)))))
(if (<=.f64 x -2304460979725263/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 101999999999999994093658829769352669028886100401223531018829482124664842019391150110015488) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 979999999999999991962259693978951894448928853918413725565665998041477196542049579569190647720640216769333006135355824002555949484871877957169244868283466346022067570182950114124547589968756736) (/.f64 0 2) (if (<=.f64 x 1350000000000000052458577313932443546953457357216811678642108041806718683885239054242981564215215969736848215004348555871348269457684973875347766313979228053086754925521799315605695808612830165101139948926602050248026698986450356332136187428593886822400) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 eps)))) 2) (/.f64 0 2)))))
(if (<=.f64 x -2304460979725263/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1850000000000000011496446418389003202841770302252642438935728115047731205417969550543028224) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 81999999999999993497925718066231713161594751388096835095886671621467024970871946708567130719101940106203197706710402460668927760838661709738201045649711913126917484271391196654044446720) (/.f64 0 2) (if (<=.f64 x 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (/.f64 0 2)))))
(if (<=.f64 x 1400000000000) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 340000000000000017223154536234127812522373331959647063571290731110751216234811098984292930987287288277935895010170166785817993514858976647448165856691499728318644219849526936168227143680) (/.f64 0 2) (if (<=.f64 x 97999999999999996241935958444855734421683681862778320711720077246583768159038710173939085465837299619330294596292778328550557484658052297585201238910946300009071957592738801389191119264949375987856553901773713133286142374350180529388983961018957824) (/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2) (/.f64 0 2))))
(if (<=.f64 x 8106479329266893/18014398509481984) (/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2) (if (<=.f64 x 1499999999999999910974436217494540293143496827453953895580172316626343327487658486850030142035992556507973047535865366496063072161634140584631527421604930294794969596223369514835063930355712) (/.f64 0 2) (if (<=.f64 x 1999999999999999842193666166429405315108085538750444474573303539343682523327867200556094828341070828822072816223628464802080957142908263056856251550551458324728500683414593571954824094930073832228110667038401926134956417110939194430679510515303055360) (/.f64 (+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)))) 2) (/.f64 0 2))))
(if (<=.f64 x 8106479329266893/18014398509481984) (/.f64 (-.f64 (-.f64 2 x) (*.f64 x eps)) 2) (if (<=.f64 x 13499999999999999982312637824246026541963458037327883091517664802276198795140688083948680415816888204134115989840754825509990727073836692326808175478232205830340945728807881593325829540280270848) (/.f64 0 2) (if (<=.f64 x 219999999999999995359531490434642181402329378747369824867473641547783716017179687570579835524317243992983934908871078498624395156617660641211771391949219910431736432312961185277925814005110547812865393268278671883399695277128623394688947583144482045952) (/.f64 (*.f64 x eps) 2) (/.f64 0 2))))
(if (<=.f64 x -1498797955988901/2305843009213693952) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 799388933858263/562949953421312) (/.f64 (-.f64 2 (*.f64 x x)) 2) (if (<=.f64 x 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960) (/.f64 0 2) (if (<=.f64 x 779999999999999951173758017034875669632593329597494277747998632564014822548982503726286387459817076063164323451487048643207063156631974297131521826103628241355716623669047385425276560585531220836736380039031211201187492068191597835279210527429337546752) (/.f64 (*.f64 x eps) 2) (/.f64 0 2)))))
(if (<=.f64 x -1498797955988901/2305843009213693952) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 1400000000000) (/.f64 2 2) (if (<=.f64 x 26000000000000001316689216536255390911391094719042443502935066029135385322792510355540170627083007114116639494754581218986435392684272237940329911985347448894526482392695141154226345557524217856) (/.f64 0 2) (if (<=.f64 x 899999999999999967141834411275455182019958400892162811551217349364593050850883126778470885973880231437600542673448651272122900327001973490458064361913834730262629378948634784468356333406940503305969459849444246786393855884698573515748384011269812781056) (/.f64 (*.f64 x eps) 2) (/.f64 0 2)))))
(if (<=.f64 x 2) (/.f64 (-.f64 2 x) 2) (if (<=.f64 x 250000000000000005773272825674467887232459556212924818857641144538710547419864422216440449216987690277695596359564643549149797528283968376719007429163422546428007857861658912189741667450880) (/.f64 0 2) (if (<=.f64 x 280000000000000003343569687554931937596011914394704091769082999948072830168129999096672084781348821680202044519851879813082313741802660237875042659854323154885192809952754884799465700415815189047481933173485189676002877185382111234923534325064719663104) (/.f64 (*.f64 x eps) 2) (/.f64 0 2))))
(if (<=.f64 x 1400000000000) (/.f64 2 2) (if (<=.f64 x 2799999999999999759949601032689254374464441133379419847923758726140571356976796422374751699983001777280384571775692580566146535464896779738371160940712841839976824922518196943265563388252520448) (/.f64 0 2) (if (<=.f64 x 840000000000000010030709062664795812788035743184112275307248999844218490504389997290016254344046465040606133559555639439246941225407980713625127979562969464655578429858264654398397101247445567142445799520455569028008631556146333704770602975194158989312) (/.f64 (*.f64 x eps) 2) (/.f64 0 2))))
(if (<=.f64 x 1400000000000) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps 1))) (exp.f64 (*.f64 x (-.f64 (neg.f64 eps) 1)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(if (<=.f64 eps 2028240960365167/1267650600228229401496703205376) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x 1) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2))
(if (<=.f64 eps 2028240960365167/1267650600228229401496703205376) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 1 x) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2))
(if (<=.f64 eps 2028240960365167/1267650600228229401496703205376) (/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 1 x) -1)) (*.f64 x (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2))
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(if (<=.f64 x -1498797955988901/2305843009213693952) (/.f64 (*.f64 (neg.f64 eps) x) 2) (if (<=.f64 x 1400000000000) (/.f64 2 2) (if (<=.f64 x 26000000000000001316689216536255390911391094719042443502935066029135385322792510355540170627083007114116639494754581218986435392684272237940329911985347448894526482392695141154226345557524217856) (/.f64 0 2) (if (<=.f64 x 899999999999999967141834411275455182019958400892162811551217349364593050850883126778470885973880231437600542673448651272122900327001973490458064361913834730262629378948634784468356333406940503305969459849444246786393855884698573515748384011269812781056) (/.f64 (*.f64 x eps) 2) (/.f64 0 2)))))
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(if (<=.f64 x 1400000000000) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 1400000000000) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 551 to 422 computations (23.4% saved)

soundness3.6s (23.3%)

Rules
1694×div-sub
1694×div-sub
1486×times-frac
1486×times-frac
1286×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064453
1190421
2580365
31928365
46678365
079725781
1241822189
079725781
1241822189
079725781
1241822189
064453
1190421
2580365
31928365
46678365
079725781
1241822189
079725781
1241822189
065616849
1202914351
065616849
1202914351
054015109
1146713163
2581012047
054015109
1146713163
2581012047
079725781
1241822189
065616849
1202914351
03949154
111587538
246317326
054015109
1146713163
2581012047
079725781
1241822189
054015109
1146713163
2581012047
065616849
1202914351
054015109
1146713163
2581012047
054015109
1146713163
2581012047
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2383 to 1815 computations (23.8% saved)

end0.0ms (0%)

preprocess358.0ms (2.4%)

Compiler

Compiled 1176 to 830 computations (29.4% saved)

Profiling

Loading profile data...