NMSE Section 6.1 mentioned, A

Time bar (total: 18.7s)

analyze37.0ms (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)

sample2.4s (12.6%)

Results
698.0ms3580×body256infinite
678.0ms1184×body1024valid
513.0ms2803×body256valid
227.0ms579×body512valid
146.0ms952×body256unsamplable
77.0ms93×body2048valid
6.0ms11×body1024infinite
2.0msbody512infinite
Bogosity

preprocess370.0ms (2%)

Algorithm
egg-herbie
Rules
1818×div-sub
1486×times-frac
1324×fma-def
800×associate-/l*
610×associate-/r*
Problems
187×No Errors
69×(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069785
1206721
2614666
32097658
47322658
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) (neg.f64 x)))))) 2)
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2)
(*.f64 -1/2 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(*.f64 -1/2 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 1 (neg.f64 eps)) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (neg.f64 eps)) x))))) 2))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (neg.f64 eps))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (/.f64 1 (neg.f64 eps)) -1)))) 2)
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (/.f64 -1 eps) -1)))) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 (/.f64 -1 eps) -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 -1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 -1/2 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 -1 x)) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
Symmetry

(abs eps)

Compiler

Compiled 175 to 132 computations (24.6% saved)

eval2.0ms (0%)

Compiler

Compiled 109 to 78 computations (28.4% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(/.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)
73.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
67.3%
(/.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)
73.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 116 to 88 computations (24.1% saved)

localize979.0ms (5.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 1 (/.f64 -1 eps))
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
93.4%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
74.2%
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
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))
74.2%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 234 to 147 computations (37.2% saved)

series97.0ms (0.5%)

Counts
8 → 180
Calls

45 calls:

TimeVariablePointExpression
46.0ms
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))))
25.0ms
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
@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
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
2.0ms
x
@0
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite220.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
034390
1615353
Stop Event
node limit
Counts
8 → 257
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 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)) (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)))
(-.f64 1 (/.f64 -1 eps))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1))) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(+.f64 1 (/.f64 1 eps))
(+.f64 1 (*.f64 (/.f64 1 eps) 1))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 (/.f64 1 eps) 1) 1)
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(*.f64 -1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(*.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(*.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (-.f64 1 (pow.f64 eps -3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 (/.f64 1 eps) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 eps -3) 1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) 1))))
(/.f64 (-.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(neg.f64 (+.f64 (/.f64 1 eps) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 -1 (/.f64 1 eps) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)

simplify243.0ms (1.3%)

Algorithm
egg-herbie
Rules
1568×fma-def
650×associate-+r+
632×distribute-lft-in
628×distribute-rgt-in
626×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086828794
1247728794
Stop Event
node limit
Counts
437 → 334
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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(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
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2
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(/.f64 (exp.f64 (*.f64 -1 x)) eps)
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(+.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))))
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(+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (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 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(+.f64 1 (/.f64 1 eps))
(+.f64 1 (*.f64 (/.f64 1 eps) 1))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 (/.f64 1 eps) 1) 1)
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(*.f64 -1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(*.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(*.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (-.f64 1 (pow.f64 eps -3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 (/.f64 1 eps) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 eps -3) 1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) 1))))
(/.f64 (-.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(neg.f64 (+.f64 (/.f64 1 eps) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 -1 (/.f64 1 eps) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
Outputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x)))) (*.f64 1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (exp.f64 (*.f64 -1 x))))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 2) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (pow.f64 x 2)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (*.f64 1/24 (pow.f64 x 4)) (exp.f64 (neg.f64 x)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (*.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps))))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
2
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (-.f64 (/.f64 1 eps) 1))))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
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2
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1
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(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 1 (/.f64 1 eps))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 1 (*.f64 (/.f64 1 eps) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 1 eps) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 1 eps) 1) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 -1 (+.f64 (/.f64 1 eps) -1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2) (exp.f64 (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (-.f64 1 (pow.f64 eps -3))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (/.f64 1 eps) -1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 (/.f64 1 eps) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) -1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 eps -3) 1) (+.f64 (pow.f64 eps -2) (-.f64 1 (*.f64 (/.f64 1 eps) 1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 eps -3) -1) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) -1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2) (exp.f64 (fma.f64 x eps x)))
(neg.f64 (+.f64 (/.f64 1 eps) -1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 eps) -1))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 1 (/.f64 1 eps) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (/.f64 1 eps) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))

eval203.0ms (1.1%)

Compiler

Compiled 12630 to 8414 computations (33.4% saved)

prune72.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3268334
Fresh000
Picked202
Done000
Total3288336
Accuracy
100.0%
Counts
336 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
54.3%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
72.1%
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))))) 2)
40.5%
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
40.5%
(/.f64 2 2)
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
54.3%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
72.1%
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))))) 2)
40.5%
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
40.5%
(/.f64 2 2)
Compiler

Compiled 832 to 680 computations (18.3% saved)

localize3.6s (19.3%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (exp.f64 (*.f64 -1 x)))
100.0%
(+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))
100.0%
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x))))
100.0%
(/.f64 1 (exp.f64 x))
100.0%
(+.f64 1 (/.f64 1 eps))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
75.4%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))
100.0%
(pow.f64 (+.f64 1 eps) 2)
88.1%
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))
61.5%
(-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))
Compiler

Compiled 667 to 522 computations (21.7% saved)

series21.0ms (0.1%)

Counts
11 → 119
Calls

42 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))
2.0ms
x
@0
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
1.0ms
eps
@0
(-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))
1.0ms
eps
@inf
(-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))

rewrite151.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
041427
1750401
Stop Event
node limit
Counts
11 → 323
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1)))))
(pow.f64 (+.f64 1 eps) 2)
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(+.f64 1 (/.f64 1 eps))
(/.f64 1 (exp.f64 x))
(+.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 x (exp.f64 (*.f64 -1 x)))
Outputs
(+.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))) 1/2 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1)))) (fma.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1)))) (fma.f64 (neg.f64 (*.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 1/2))) (*.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 1/2)) (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 1 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 1 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 1 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) 1/2 (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) 1/2 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) 1/2 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (*.f64 (*.f64 (-.f64 1 eps) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1))) (fma.f64 (neg.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) 1 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 1)))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (+.f64 (/.f64 1 eps) -1)) 2)))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 1 eps) 2) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)))))
(*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))
(*.f64 1 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))) 2) (cbrt.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))))
(*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))) (sqrt.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 (/.f64 1 eps) -1))))))
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(exp.f64 (*.f64 2 (log1p.f64 eps)))
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(pow.f64 (exp.f64 -1) x)
(pow.f64 (exp.f64 -1) (*.f64 x 1))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 x) 1) -1)
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 (*.f64 x 1))
(exp.f64 (*.f64 (log.f64 (exp.f64 -1)) x))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))

simplify278.0ms (1.5%)

Algorithm
egg-herbie
Rules
1272×associate-*r*
1130×associate-*l*
928×fma-def
654×distribute-rgt-in
632×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080026667
1220323576
Stop Event
node limit
Counts
442 → 510
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(-.f64 (pow.f64 eps 2) 1)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
1
(+.f64 1 (*.f64 2 eps))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(pow.f64 eps 2)
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(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(/.f64 1 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(*.f64 -1 eps)
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(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(*.f64 -1 eps)
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(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))) (/.f64 (exp.f64 (*.f64 -1 x)) eps)))))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))))) eps))))
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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))))))
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(-.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 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(/.f64 1 eps)
1
1
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
1
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x
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 eps) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 eps) 2))
(*.f64 (+.f64 1 eps) (+.f64 1 eps))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 eps) 4)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 1 (pow.f64 eps 3))) (*.f64 (-.f64 1 eps) (+.f64 1 (-.f64 (pow.f64 eps 2) eps))))
(sqrt.f64 (pow.f64 (+.f64 1 eps) 4))
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(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 eps) 2)))
(exp.f64 (*.f64 2 (log1p.f64 eps)))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 eps) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 1)
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(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (-.f64 (pow.f64 eps -2) 1)) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps 2) eps)) (+.f64 1 (/.f64 1 eps))))
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(pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 1 eps) -1)) 3))
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(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
Outputs
-1
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(pow.f64 eps 2)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(-.f64 (pow.f64 eps 2) 1)
(+.f64 (pow.f64 eps 2) -1)
(fma.f64 eps eps -1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 eps 2)))
(*.f64 (pow.f64 x 2) (fma.f64 eps eps -1))
1
(+.f64 1 (*.f64 2 eps))
(+.f64 1 (*.f64 eps 2))
(fma.f64 eps 2 1)
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 eps (pow.f64 eps 2))
(*.f64 eps (+.f64 eps 2))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(pow.f64 eps 2)
(+.f64 (*.f64 2 eps) (pow.f64 eps 2))
(fma.f64 2 eps (pow.f64 eps 2))
(*.f64 eps (+.f64 eps 2))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(+.f64 1 (+.f64 (*.f64 2 eps) (pow.f64 eps 2)))
(+.f64 1 (fma.f64 2 eps (pow.f64 eps 2)))
(+.f64 1 (*.f64 eps (+.f64 eps 2)))
(/.f64 1 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(+.f64 (*.f64 -1 eps) (/.f64 1 eps))
(fma.f64 -1 eps (/.f64 1 eps))
(-.f64 (/.f64 1 eps) eps)
(/.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 (exp.f64 (neg.f64 x)) (fma.f64 x (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (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 (pow.f64 x 2) (exp.f64 (neg.f64 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 (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 x 2) 1/2) 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 (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 eps 2) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 x 2) 1/2) x)) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))) (-.f64 (exp.f64 (neg.f64 x)) (/.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 (pow.f64 (exp.f64 (neg.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 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.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 (-.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)))
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (*.f64 (-.f64 1 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (*.f64 x (pow.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(fabs.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))) 1)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (+.f64 1 x) (neg.f64 (exp.f64 x)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (exp.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x))))))))
(*.f64 1 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))) (*.f64 (+.f64 1 x) (neg.f64 (exp.f64 x))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (exp.f64 (+.f64 x (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (*.f64 (-.f64 1 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (+.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (*.f64 x (pow.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 3)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3) 1/3)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (exp.f64 x))) 2)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 1)
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(fabs.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x)))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (exp.f64 x)) 3))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 (log.f64 (+.f64 x 1)) x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x 1)) x) 1))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (exp.f64 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (-.f64 1 x) (exp.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(*.f64 x (exp.f64 x))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(*.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(*.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(*.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(*.f64 x (exp.f64 x))
(neg.f64 (*.f64 x (exp.f64 x)))
(*.f64 (neg.f64 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(fabs.f64 (*.f64 x (exp.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(*.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(*.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(exp.f64 (+.f64 x (log.f64 x)))
(*.f64 x (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(*.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))

eval679.0ms (3.6%)

Compiler

Compiled 29947 to 24278 computations (18.9% saved)

prune158.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New6238631
Fresh123
Picked415
Done000
Total62811639
Accuracy
100.0%
Counts
639 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
13.5%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
33.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
25.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
38.5%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
39.7%
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
66.1%
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
40.5%
(/.f64 2 2)
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
13.5%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
33.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
25.8%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
38.5%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
39.7%
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
66.1%
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
40.5%
(/.f64 2 2)
Compiler

Compiled 766 to 626 computations (18.3% saved)

localize2.2s (11.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2))))
100.0%
(+.f64 1 (/.f64 1 eps))
100.0%
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))
100.0%
(+.f64 1 (/.f64 1 eps))
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps))))
75.4%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
100.0%
(/.f64 (expm1.f64 (neg.f64 x)) eps)
100.0%
(expm1.f64 (neg.f64 x))
100.0%
(+.f64 1 (/.f64 1 eps))
61.4%
(-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (neg.f64 x) (-.f64 1 eps))
100.0%
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
Compiler

Compiled 401 to 297 computations (25.9% saved)

series22.0ms (0.1%)

Counts
10 → 204
Calls

54 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
1.0ms
eps
@0
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2))))
1.0ms
eps
@-inf
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2))))
1.0ms
eps
@inf
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2))))
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
346×prod-diff
336×log1p-expm1-u
335×expm1-log1p-u
328×add-cube-cbrt
326×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038386
1735346
Stop Event
node limit
Counts
10 → 215
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1))
(expm1.f64 (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (+.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 1 (+.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 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.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 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.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 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (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 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(*.f64 1 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) 1)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (-.f64 (pow.f64 eps -3) 1))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) 1)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (-.f64 (pow.f64 eps -2) 1))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) 1)))) (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 (pow.f64 eps -3) 1))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) (+.f64 1 (*.f64 (/.f64 1 eps) 1)))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 (pow.f64 eps -2) 1))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(exp.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps))) 1)
(*.f64 1 (/.f64 (expm1.f64 x) eps))
(*.f64 (expm1.f64 x) (/.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (sqrt.f64 (/.f64 (expm1.f64 x) eps)))
(pow.f64 (/.f64 (expm1.f64 x) eps) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 2)
(pow.f64 (/.f64 eps (expm1.f64 x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps -3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))
(*.f64 (/.f64 (expm1.f64 x) eps) 1/2)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 2) 4)) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2)
(pow.f64 (/.f64 2 (/.f64 (expm1.f64 x) eps)) -1)
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 2) 4))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
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(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 1))
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(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 1)
(pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
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(exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
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(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
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(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))) 1)
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(*.f64 (sqrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) (sqrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 3)) (+.f64 4 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 2) (*.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))))
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(exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) 1))
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(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) 2)

simplify236.0ms (1.3%)

Algorithm
egg-herbie
Rules
828×log-prod
798×fma-neg
722×fma-def
674×associate-*r*
624×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062017620
1165815826
2678815816
Stop Event
node limit
Counts
419 → 408
Calls
Call 1
Inputs
2
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(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
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x
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(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 2) (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 3)) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (/.f64 1 eps) -1)))
(pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(exp.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (+.f64 (/.f64 1 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))) 1)
(pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))) 1)
(*.f64 1 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) 2) (cbrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(*.f64 (sqrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) (sqrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 3)) (+.f64 4 (-.f64 (pow.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 2) (*.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 2)) (-.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))
(pow.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)))))
(fma.f64 1 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 2)
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) 2)
Outputs
2
(+.f64 2 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 2 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(+.f64 2 (*.f64 x (+.f64 -1 eps)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 2 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (+.f64 -1 eps))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 2 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (fma.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))
(+.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 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 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 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 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 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 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 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 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 eps (*.f64 x (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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2
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) (pow.f64 x 2))) 2)
(+.f64 2 (fma.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) (pow.f64 x 2)))
(+.f64 2 (*.f64 x (+.f64 (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) x)))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) 2)
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) (hypot.f64 x (sqrt.f64 (*.f64 x (fma.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))))) 2)

eval405.0ms (2.2%)

Compiler

Compiled 19222 to 15279 computations (20.5% saved)

prune111.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New7308738
Fresh145
Picked415
Done011
Total73514749
Accuracy
100.0%
Counts
749 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
21.1%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
39.7%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
38.5%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
49.5%
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
35.5%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
58.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
66.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
51.1%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
40.5%
(/.f64 2 2)
2.5%
(*.f64 (/.f64 x eps) -1/2)
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
21.1%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
39.7%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
38.5%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
49.5%
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
35.5%
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
58.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
66.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
51.1%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
40.5%
(/.f64 2 2)
2.5%
(*.f64 (/.f64 x eps) -1/2)
Compiler

Compiled 672 to 544 computations (19% saved)

localize191.0ms (1%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 2 (pow.f64 x 2))
100.0%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
100.0%
(/.f64 (expm1.f64 x) eps)
100.0%
(+.f64 1 (/.f64 1 eps))
99.9%
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
100.0%
(*.f64 (/.f64 x eps) -1/2)
100.0%
(exp.f64 (*.f64 x eps))
Compiler

Compiled 134 to 82 computations (38.8% saved)

series67.0ms (0.4%)

Counts
6 → 132
Calls

33 calls:

TimeVariablePointExpression
57.0ms
x
@0
(*.f64 (/.f64 x eps) -1/2)
1.0ms
x
@inf
(*.f64 (/.f64 x eps) -1/2)
1.0ms
x
@0
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
1.0ms
eps
@inf
(*.f64 (/.f64 x eps) -1/2)
1.0ms
eps
@0
(*.f64 (/.f64 x eps) -1/2)

rewrite166.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1100×prod-diff
656×expm1-udef
654×log1p-udef
328×log1p-expm1-u
320×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025132
1397132
25537132
Stop Event
node limit
Counts
6 → 166
Calls
Call 1
Inputs
(exp.f64 (*.f64 x eps))
(*.f64 (/.f64 x eps) -1/2)
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(/.f64 (expm1.f64 x) eps)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(-.f64 2 (pow.f64 x 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) 1)
(*.f64 (pow.f64 (exp.f64 x) eps) 1)
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (exp.f64 1) (*.f64 x eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2)) (cbrt.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x eps))) (sqrt.f64 (*.f64 x eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x eps) -1/2))) 1)
(/.f64 x (/.f64 eps -1/2))
(/.f64 -1/2 (/.f64 eps x))
(/.f64 1 (/.f64 eps (*.f64 x -1/2)))
(/.f64 (*.f64 x -1/2) eps)
(/.f64 (neg.f64 (*.f64 x -1/2)) (neg.f64 eps))
(/.f64 (*.f64 -1/2 (neg.f64 x)) (neg.f64 eps))
(/.f64 (*.f64 (neg.f64 x) -1/2) (neg.f64 eps))
(/.f64 (/.f64 (*.f64 x -1/2) 1) eps)
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (*.f64 (/.f64 x eps) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x eps) -1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x eps) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x eps) -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x eps) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x eps)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x eps) -1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x eps) -1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x eps) -1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 x eps) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x eps) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x eps) -1/2)))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 x (/.f64 (-.f64 1 eps) eps)))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 (-.f64 1 eps) eps) x))
(+.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (*.f64 x (-.f64 1 eps))))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) 1) (*.f64 (*.f64 x (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) 1))
(+.f64 (*.f64 (/.f64 1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))) 1)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))))
(exp.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps))) 1)
(-.f64 (/.f64 (exp.f64 x) eps) (/.f64 1 eps))
(*.f64 1 (/.f64 (expm1.f64 x) eps))
(*.f64 (/.f64 1 eps) (expm1.f64 x))
(*.f64 (expm1.f64 x) (/.f64 1 eps))
(*.f64 (/.f64 (expm1.f64 x) eps) 1)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 eps)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 eps)))
(*.f64 (pow.f64 eps -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (sqrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 eps)))
(*.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)))
(*.f64 (*.f64 (expm1.f64 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))
(pow.f64 (/.f64 (expm1.f64 x) eps) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 2)
(pow.f64 (/.f64 eps (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps -3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))) 1)
(-.f64 (/.f64 (exp.f64 x) (*.f64 eps 2)) (/.f64 1 (*.f64 eps 2)))
(*.f64 1 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))
(*.f64 (expm1.f64 x) (/.f64 1 (*.f64 eps 2)))
(*.f64 (expm1.f64 x) (*.f64 (/.f64 1 eps) 1/2))
(*.f64 (/.f64 (expm1.f64 x) eps) 1/2)
(*.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps) -1/2)
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 2) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2)
(pow.f64 (*.f64 2 (/.f64 eps (expm1.f64 x))) -1)
(neg.f64 (/.f64 (/.f64 (expm1.f64 x) eps) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(+.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 1 (-.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 2 (pow.f64 x 2)) 1)
(*.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 2 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 (pow.f64 x 2))))
(*.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(*.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))) (-.f64 8 (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 x 6))) (neg.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 x 4))) (neg.f64 (+.f64 2 (pow.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 2 (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 2 (neg.f64 (pow.f64 x 2))))
(pow.f64 (-.f64 2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (-.f64 2 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (pow.f64 x 2))))
(exp.f64 (log.f64 (-.f64 2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (pow.f64 x 2))))

simplify126.0ms (0.7%)

Algorithm
egg-herbie
Rules
1114×fma-def
708×log-prod
530×sqr-pow
492×cube-prod
478×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04297608
110487444
238587327
Stop Event
node limit
Counts
298 → 244
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
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(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
1
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(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
(exp.f64 (*.f64 eps x))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 x) 1) eps))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
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(*.f64 -1 (pow.f64 x 2))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x eps) -1/2))) 1)
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(log.f64 (exp.f64 (/.f64 (expm1.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) eps) 3))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps -3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))) 1)
(-.f64 (/.f64 (exp.f64 x) (*.f64 eps 2)) (/.f64 1 (*.f64 eps 2)))
(*.f64 1 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))
(*.f64 (expm1.f64 x) (/.f64 1 (*.f64 eps 2)))
(*.f64 (expm1.f64 x) (*.f64 (/.f64 1 eps) 1/2))
(*.f64 (/.f64 (expm1.f64 x) eps) 1/2)
(*.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 2) (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) eps)) 1/2))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps) -1/2)
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 2) (/.f64 (sqrt.f64 (expm1.f64 x)) eps))
(pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 2)
(pow.f64 (*.f64 2 (/.f64 eps (expm1.f64 x))) -1)
(neg.f64 (/.f64 (/.f64 (expm1.f64 x) eps) -2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(+.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 1 (-.f64 2 (pow.f64 x 2)))
(*.f64 (-.f64 2 (pow.f64 x 2)) 1)
(*.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 2 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 (pow.f64 x 2))))
(*.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(*.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))) (-.f64 8 (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 x 6))) (neg.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 x 4))) (neg.f64 (+.f64 2 (pow.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 2 (neg.f64 (pow.f64 x 2))))))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 2 (neg.f64 (pow.f64 x 2))))
(pow.f64 (-.f64 2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 3)
(pow.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 2))
(log.f64 (exp.f64 (-.f64 2 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 2 (pow.f64 x 2))))
(exp.f64 (log.f64 (-.f64 2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 2 (pow.f64 x 2))))
Outputs
1
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x)))
(+.f64 1 (fma.f64 eps x (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2)) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 eps x (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2)) (fma.f64 eps x 1)))
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
1
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x)))
(+.f64 1 (fma.f64 eps x (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2)) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)) (*.f64 eps x))))
(+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 eps x (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 eps 2)) (fma.f64 eps x 1)))
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(/.f64 x (*.f64 eps -2))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(fma.f64 -1 (*.f64 eps x) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(/.f64 x eps)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 x eps))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) eps) (/.f64 x eps))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (/.f64 x eps)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (expm1.f64 x) (/.f64 1/2 eps))
(/.f64 1/2 (/.f64 eps (expm1.f64 x)))
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (expm1.f64 x) (/.f64 1/2 eps))
(/.f64 1/2 (/.f64 eps (expm1.f64 x)))
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)) 1))
(*.f64 (expm1.f64 x) (/.f64 1/2 eps))
(/.f64 1/2 (/.f64 eps (expm1.f64 x)))
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 x) eps) 1/2)))
(*.f64 (expm1.f64 x) (/.f64 1/2 eps))
(/.f64 1/2 (/.f64 eps (expm1.f64 x)))
(*.f64 1/2 (/.f64 (expm1.f64 x) eps))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(-.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 1))
(-.f64 2 (pow.f64 x 2))
(+.f64 (neg.f64 (pow.f64 x 2)) 2)
(-.f64 2 (pow.f64 x 2))
(*.f64 1 (-.f64 2 (pow.f64 x 2)))
(-.f64 2 (pow.f64 x 2))
(*.f64 (-.f64 2 (pow.f64 x 2)) 1)
(-.f64 2 (pow.f64 x 2))
(*.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2))
(-.f64 2 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 2) (cbrt.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))
(*.f64 (-.f64 8 (pow.f64 x 6)) (/.f64 1 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 x 6)) 1) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 2) (+.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x x 2) 4))
(*.f64 (-.f64 4 (pow.f64 x 4)) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))
(/.f64 1 (/.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))) (-.f64 8 (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 x 6)) 1) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 2) (+.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x x 2) 4))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))
(/.f64 (-.f64 8 (pow.f64 x 6)) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 x 6)) 1) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 2) (+.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x x 2) 4))
(/.f64 (-.f64 4 (pow.f64 x 4)) (+.f64 2 (pow.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))
(/.f64 (neg.f64 (-.f64 8 (pow.f64 x 6))) (neg.f64 (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 x 6)) 1) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 2) (+.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x x 2) 4))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 x 4))) (neg.f64 (+.f64 2 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))
(/.f64 (+.f64 8 (pow.f64 (neg.f64 (pow.f64 x 2)) 3)) (+.f64 4 (-.f64 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2))) (*.f64 2 (neg.f64 (pow.f64 x 2))))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 x 6)) 1) (+.f64 (+.f64 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 2))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 2) (+.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 8 (pow.f64 x 6)) (fma.f64 (pow.f64 x 2) (fma.f64 x x 2) 4))
(/.f64 (-.f64 4 (*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))) (-.f64 2 (neg.f64 (pow.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 4 (pow.f64 x 4))))
(/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2))
(pow.f64 (-.f64 2 (pow.f64 x 2)) 1)
(-.f64 2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (-.f64 2 (pow.f64 x 2))) 3)
(-.f64 2 (pow.f64 x 2))
(pow.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3) 1/3)
(-.f64 2 (pow.f64 x 2))
(pow.f64 (sqrt.f64 (-.f64 2 (pow.f64 x 2))) 2)
(-.f64 2 (pow.f64 x 2))
(sqrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 2))
(-.f64 2 (pow.f64 x 2))
(log.f64 (exp.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 2 (pow.f64 x 2)))))
(-.f64 2 (pow.f64 x 2))
(cbrt.f64 (pow.f64 (-.f64 2 (pow.f64 x 2)) 3))
(-.f64 2 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))
(exp.f64 (log.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (-.f64 2 (pow.f64 x 2))) 1))
(-.f64 2 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (-.f64 2 (pow.f64 x 2))))
(-.f64 2 (pow.f64 x 2))

eval77.0ms (0.4%)

Compiler

Compiled 3739 to 2607 computations (30.3% saved)

prune59.0ms (0.3%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New2697276
Fresh257
Picked235
Done022
Total27317290
Accuracy
100.0%
Counts
290 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.2%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
39.5%
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2)) 2)
21.1%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
28.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
33.7%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
54.7%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
39.7%
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
29.3%
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
46.6%
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
50.0%
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
58.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
66.3%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
51.1%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
40.5%
(/.f64 2 2)
2.5%
(/.f64 -1/2 (/.f64 eps x))
2.5%
(*.f64 x (/.f64 -1/2 eps))
3.0%
(*.f64 1/2 (/.f64 x eps))
Compiler

Compiled 715 to 550 computations (23.1% saved)

regimes117.0ms (0.6%)

Counts
34 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2)) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.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 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (-.f64 (/.f64 1 eps) 1))))))) 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 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Calls

4 calls:

51.0ms
x
35.0ms
eps
7.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
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)
Results
AccuracySegmentsBranch
99.0%3x
100.0%2eps
99.6%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)
99.6%2(-.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 590 to 449 computations (23.9% saved)

regimes177.0ms (0.9%)

Counts
29 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2)) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
Calls

2 calls:

83.0ms
eps
83.0ms
x
Results
AccuracySegmentsBranch
90.3%6x
85.1%6eps
Compiler

Compiled 357 to 266 computations (25.5% saved)

regimes202.0ms (1.1%)

Counts
28 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2)) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
Calls

1 calls:

194.0ms
x
Results
AccuracySegmentsBranch
90.3%6x
Compiler

Compiled 335 to 253 computations (24.5% saved)

regimes113.0ms (0.6%)

Counts
26 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 x))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 1 eps) 1))))) (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (/.f64 (-.f64 4 (pow.f64 x 4)) (fma.f64 x x 2)) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
Calls

1 calls:

105.0ms
x
Results
AccuracySegmentsBranch
89.9%6x
Compiler

Compiled 310 to 236 computations (23.9% saved)

regimes72.0ms (0.4%)

Counts
19 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
Calls

1 calls:

65.0ms
x
Results
AccuracySegmentsBranch
89.8%6x
Compiler

Compiled 174 to 131 computations (24.7% saved)

regimes75.0ms (0.4%)

Counts
18 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 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 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2)
Calls

2 calls:

58.0ms
x
12.0ms
eps
Results
AccuracySegmentsBranch
66.3%1eps
82.4%6x
Compiler

Compiled 167 to 125 computations (25.1% saved)

regimes87.0ms (0.5%)

Counts
17 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 2 (pow.f64 x 2)) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Calls

2 calls:

54.0ms
x
28.0ms
eps
Results
AccuracySegmentsBranch
55.4%2eps
74.1%6x
Compiler

Compiled 159 to 119 computations (25.2% saved)

regimes53.0ms (0.3%)

Counts
14 → 6
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Calls

1 calls:

48.0ms
x
Results
AccuracySegmentsBranch
70.2%6x
Compiler

Compiled 135 to 101 computations (25.2% saved)

regimes34.0ms (0.2%)

Counts
13 → 4
Calls
Call 1
Inputs
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 (/.f64 x eps) -1/2)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))) 2)
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) x))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2)
Calls

1 calls:

30.0ms
x
Results
AccuracySegmentsBranch
62.5%4x
Compiler

Compiled 129 to 97 computations (24.8% saved)

regimes15.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
57.6%2x
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes15.0ms (0.1%)

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

2 calls:

7.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
46.6%1eps
46.6%1x
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes13.0ms (0.1%)

Accuracy

Total -25.0b remaining (-65.7%)

Threshold costs -25b (-65.7%)

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

2 calls:

6.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
40.5%1x
40.5%1eps
Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
0.0005676270838512744
0.0031209594399739127
Results
3.0ms16×body256valid
0.0msbody256unsamplable
Compiler

Compiled 90 to 71 computations (21.1% saved)

bsearch107.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
28.0ms
2.7787255067417616e+285
2.0150952152017022e+290
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
16.0ms
3.7127947053619727e+74
8.867005424863701e+74
22.0ms
8.5596944482253335e+40
1.8000416408718092e+42
20.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
47.0ms259×body256infinite
40.0ms230×body256valid
7.0ms13×body1024valid
2.0msbody512valid
2.0msbody2048valid
Compiler

Compiled 1023 to 840 computations (17.9% saved)

bsearch285.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
2.7787255067417616e+285
2.0150952152017022e+290
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
16.0ms
3.7127947053619727e+74
8.867005424863701e+74
164.0ms
8.5596944482253335e+40
1.8000416408718092e+42
40.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
205.0ms262×body256infinite
52.0ms287×body256valid
9.0ms19×body1024valid
6.0ms19×body512valid
4.0msbody2048valid
Compiler

Compiled 1059 to 892 computations (15.8% saved)

bsearch233.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
76.0ms
2.7787255067417616e+285
2.0150952152017022e+290
23.0ms
3.9599617943279495e+247
4.259352206001448e+249
16.0ms
3.7127947053619727e+74
8.867005424863701e+74
77.0ms
8.5596944482253335e+40
1.8000416408718092e+42
41.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
157.0ms289×body256infinite
45.0ms258×body256valid
13.0ms24×body1024valid
5.0ms16×body512valid
4.0msbody2048valid
Compiler

Compiled 1071 to 916 computations (14.5% saved)

bsearch182.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
66.0ms
2.7787255067417616e+285
2.0150952152017022e+290
73.0ms
3.9599617943279495e+247
4.259352206001448e+249
17.0ms
3.7127947053619727e+74
8.867005424863701e+74
22.0ms
8.5596944482253335e+40
1.8000416408718092e+42
4.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
127.0ms202×body256valid
46.0ms258×body256infinite
1.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 816 to 693 computations (15.1% saved)

bsearch179.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
2.7787255067417616e+285
2.0150952152017022e+290
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
16.0ms
3.7127947053619727e+74
8.867005424863701e+74
73.0ms
8.5596944482253335e+40
1.8000416408718092e+42
40.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
102.0ms281×body256infinite
49.0ms264×body256valid
11.0ms22×body1024valid
7.0ms23×body512valid
2.0msbody2048valid
Compiler

Compiled 981 to 835 computations (14.9% saved)

bsearch165.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
83.0ms
2.7787255067417616e+285
2.0150952152017022e+290
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
15.0ms
4.7333395453907414e+89
1.709374704415622e+90
23.0ms
8.5596944482253335e+40
1.8000416408718092e+42
23.0ms
7031.666359996449
175396.65499520634
Results
117.0ms344×body256infinite
40.0ms216×body256valid
Compiler

Compiled 869 to 729 computations (16.1% saved)

bsearch266.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
190.0ms
2.7787255067417616e+285
2.0150952152017022e+290
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
16.0ms
4.7333395453907414e+89
1.709374704415622e+90
22.0ms
8.5596944482253335e+40
1.8000416408718092e+42
15.0ms
6.541125197372739e-6
8.77514018784196e-6
Results
201.0ms213×body256valid
48.0ms264×body256infinite
6.0ms10×body1024valid
3.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 796 to 665 computations (16.5% saved)

bsearch53.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
3.9599617943279495e+247
4.259352206001448e+249
18.0ms
3.7127947053619727e+74
8.867005424863701e+74
13.0ms
6.541125197372739e-6
8.77514018784196e-6
Results
24.0ms135×body256infinite
15.0ms89×body256valid
4.0msbody1024valid
2.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 453 to 386 computations (14.8% saved)

bsearch43.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
42.0ms
-2.6734108659924587e-256
-2.659598060529877e-263
Results
27.0ms58×body256valid
7.0ms15×body1024valid
4.0ms13×body512valid
2.0msbody256infinite
1.0msbody2048valid
Compiler

Compiled 174 to 143 computations (17.8% saved)

simplify153.0ms (0.8%)

Algorithm
egg-herbie
Rules
170×unsub-neg
140×distribute-lft-neg-in
110×neg-mul-1
76×+-commutative
72×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01792163
12641959
23381863
34581843
45321843
56131843
67081843
78031843
88341843
98501843
108531843
118541843
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps 1152921504606847/1152921504606846976) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 x -7090649168385425/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 1399999999999999969994494802902762882334720) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 449999999999999997072989859272607181990750678236559346559497022328528699392) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (if (<=.f64 x 3500000000000000121283547420232946699577898739213931976266101575725776867421089335642209837309356851143500088524848168728500733465644201129422931506857536278012418606517910387261416027465205027267106789006405246003501523535559590482257937978691158016) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 16600000000000000505347380674990440549902478197653502015659201932395400937888052476864637068315309767394414382492232949771024816210548948020040169977399889401237173561912750758877921505231125160897550932766633409904202560721871124301678853716797645769716320224139778787714759287195649966080) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2))))))
(if (<=.f64 x -7657901101856259/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 349999999999999992498623700725690720583680) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 379999999999999984137152179005282657498060914334517316076328092887483940864) (/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (neg.f64 x))) eps) 2) (if (<=.f64 x 3599999999999999715948599099572929567194553969750800054231946370818628541990160961000970691013927491879731069202531236643745722857234873502341252790992624984511301230146268429518683370874132898010599200669123467042921550799690549975223118927545499648) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 11500000000000000696345745573399273893815383082211804343683116234671642863730428776756348560409188759439488521468125494965313428497522465570506229043934781530125998893902363282550796338514051512416912532911804992216986957207183600397581604992781002705632285612226766281018041684948156416) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2))))))
(if (<=.f64 x -7657901101856259/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 1199999999999999930068851285153072652746752) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 390000000000000007506620654654948779862580331603951032781999463827180093440) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 3100000000000000152844814186947065636556281631463843081351440867857040362755515895530990871641142685379085525280122475768084542037062548518051681196747244613066718469834991672870451208479190260821484655598724860776510240113371751596122035875630546944) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2) (if (<=.f64 x 749999999999999938101155169316125212286591282319657428672607265706422300598400460544089134591097377160078838046426365153443336271694717852931806329102406185246560476608688765558417689757361914448335574569711951678098447332526225061599314076255437400237309451249814402713165764051752452096) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2))))))
(if (<=.f64 x -6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 1 eps)))) 2) (if (<=.f64 x 720000000000000050886813717495364209082368) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 390000000000000007506620654654948779862580331603951032781999463827180093440) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 1899999999999999850083982858107935049352681261812922250844638362376498397161473840528290086924017287380969175412447041561976909285762849904013438973023885408492075649243863893357082890183570140616705133686481829828208596255392234709145534989537902592) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 11500000000000000696345745573399273893815383082211804343683116234671642863730428776756348560409188759439488521468125494965313428497522465570506229043934781530125998893902363282550796338514051512416912532911804992216986957207183600397581604992781002705632285612226766281018041684948156416) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))))
(if (<=.f64 x -7657901101856259/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 800000000000000004960069160326226555961344) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 419999999999999977181398315417054925583507812089589525261326465221716344832) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 1300000000000000096148198822669857153889630123388115981354057491510559865961774547695983582277937489086783660612107679783782151375667741376918809154554690015942296649490671639940872592373335901382228494419562189621385567917818476494226079123402391552) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2) (if (<=.f64 x 65000000000000003200848779486983379257440290580826224177203942493540211486531002266293931784260827632425274755905491378952613300889121860866551646592416713343440545451880033289705636349507130574556089723169066751801428320616340831258639273087458900387108537784535320385526557839810625536) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))))))
(if (<=.f64 x 7100) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1019999999999999956032774083447365191073792) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 520000000000000014233638012869875212041787981475565065177942222611865202366620327120732160) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 4199999999999999668606698949501751161726979631375933396603937432621733298988521121167799139516248740526352914069619776084370010000107352419398128256158062481929851435170646501105130599353155047679032400780644044883408475932972308304426972082136416256) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 2800000000000000155763454631723338521476620622194614800579002404021229859135390249297009148011153972530903573375095218913092095810080373907192449867148845835581835075134325575532715178098940781230252155584793188026112487627544135640766957056897242254282724355141217620868603691176820736) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))))))
(if (<=.f64 x 2508757194024499/295147905179352825856) (/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2) (if (<=.f64 x 1649999999999999942530296744753608488124416) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 1650000000000000068532090401795003084033545092669443764404385610895704307544151307793300177237624884130646403451242661124146318875676687411868653175901195222769784269088225515032966808986098822022147861151282526695002940912232835519594993463580426240) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 67000000000000003689461626463689511310166294537048525119651319950785034334456787463416011573357980094531102942357122174372246935937128327144794510428012701262098269407647106492505207190295719824528782460319948352551675031929721216822064451522072458310451125728947959035817403974749782016) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (/.f64 (/.f64 (expm1.f64 x) eps) 2))))))
(if (<=.f64 x 2508757194024499/295147905179352825856) (/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2) (if (<=.f64 x 880000000000000047840670533432774340625093293256913917345338414202217299968) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 2600000000000000192296397645339714307779260246776231962708114983021119731923549095391967164555874978173567321224215359567564302751335482753837618309109380031884593298981343279881745184746671802764456988839124379242771135835636952988452158246804783104) (/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
(if (<=.f64 x -1418129833677085/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2) (/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2))
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 2 2)
Outputs
(if (<=.f64 eps 1152921504606847/1152921504606846976) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 eps 1152921504606847/1152921504606846976) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (+.f64 eps 1) (neg.f64 x))))) 2))
(if (<=.f64 eps 1152921504606847/1152921504606846976) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (neg.f64 x) (+.f64 eps 1))))) 2))
(if (<=.f64 eps 1152921504606847/1152921504606846976) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2))
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(if (<=.f64 x 2508757194024499/295147905179352825856) (/.f64 (-.f64 2 (*.f64 eps x)) 2) (if (or (<=.f64 x 1649999999999999942530296744753608488124416) (not (or (<=.f64 x 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (not (or (<=.f64 x 1650000000000000068532090401795003084033545092669443764404385610895704307544151307793300177237624884130646403451242661124146318875676687411868653175901195222769784269088225515032966808986098822022147861151282526695002940912232835519594993463580426240) (not (<=.f64 x 67000000000000003689461626463689511310166294537048525119651319950785034334456787463416011573357980094531102942357122174372246935937128327144794510428012701262098269407647106492505207190295719824528782460319948352551675031929721216822064451522072458310451125728947959035817403974749782016))))))) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2)))
(if (<=.f64 x 2508757194024499/295147905179352825856) (/.f64 (-.f64 2 (*.f64 eps x)) 2) (if (or (<=.f64 x 1649999999999999942530296744753608488124416) (not (or (<=.f64 x 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (and (not (<=.f64 x 1650000000000000068532090401795003084033545092669443764404385610895704307544151307793300177237624884130646403451242661124146318875676687411868653175901195222769784269088225515032966808986098822022147861151282526695002940912232835519594993463580426240)) (<=.f64 x 67000000000000003689461626463689511310166294537048525119651319950785034334456787463416011573357980094531102942357122174372246935937128327144794510428012701262098269407647106492505207190295719824528782460319948352551675031929721216822064451522072458310451125728947959035817403974749782016))))) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2)))
(if (<=.f64 x 2508757194024499/295147905179352825856) (/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2) (if (<=.f64 x 880000000000000047840670533432774340625093293256913917345338414202217299968) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2) (if (<=.f64 x 2600000000000000192296397645339714307779260246776231962708114983021119731923549095391967164555874978173567321224215359567564302751335482753837618309109380031884593298981343279881745184746671802764456988839124379242771135835636952988452158246804783104) (/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (/.f64 1 eps) 1)) 2))))
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(if (<=.f64 x -1418129833677085/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (/.f64 (-.f64 2 (*.f64 eps x)) 2) (/.f64 (+.f64 1 (+.f64 1 (*.f64 eps x))) 2))
(/.f64 (+.f64 2 (*.f64 (neg.f64 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 x (neg.f64 eps))) 2)
(/.f64 (-.f64 2 (*.f64 eps x)) 2)
(/.f64 2 2)
1
Compiler

Compiled 555 to 432 computations (22.2% saved)

soundness2.6s (13.6%)

Rules
1818×div-sub
1818×div-sub
1568×fma-def
1486×times-frac
1486×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069785
1206721
2614666
32097658
47322658
086828794
1247728794
041427
1750401
080026667
1220323576
062017620
1165815826
2678815816
04297608
110487444
238587327
080026667
1220323576
062017620
1165815826
2678815816
062017620
1165815826
2678815816
062017620
1165815826
2678815816
069785
1206721
2614666
32097658
47322658
041427
1750401
080026667
1220323576
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
Compiler

Compiled 927 to 734 computations (20.8% saved)

end1.0ms (0%)

preprocess249.0ms (1.3%)

Compiler

Compiled 1428 to 1048 computations (26.6% saved)

Profiling

Loading profile data...