NMSE Section 6.1 mentioned, A

Time bar (total: 18.7s)

analyze35.0ms (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 (12.8%)

Results
627.0ms3507×256infinite
571.0ms2824×256valid
708.0ms1230×1024valid
150.0ms953×256unsamplable
254.0ms606×512valid
66.0ms75×2048valid
5.0ms10×1024infinite
1.0ms512infinite
Bogosity

preprocess659.0ms (3.5%)

Algorithm
egg-herbie
Rules
1818×div-sub
1486×times-frac
1324×fma-def
800×associate-/l*
610×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
706(-5.148850753326142e-120 7.111019549800852e-15)0-(-.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)))))
00-0-x
00-0-(neg.f64 (*.f64 (+.f64 1 eps) x))
00-0-(-.f64 (/.f64 1 eps) 1)
00-0-(/.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)
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
00-0-(/.f64 1 eps)
00-0-(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
00-0-eps
00-0-(-.f64 1 eps)
00-0-(*.f64 (-.f64 1 eps) x)
00-0-(neg.f64 (*.f64 (-.f64 1 eps) x))
00-0-(+.f64 1 (/.f64 1 eps))
00-0-(*.f64 (+.f64 1 eps) x)
00-0-(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
00-0-(+.f64 1 eps)
00-0-2
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
00-0-1
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 319 to 239 computations (25.1% saved)

eval2.0ms (0%)

Compiler

Compiled 109 to 78 computations (28.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
73.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize1.1s (5.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
100.0%
(exp.f64 (fma.f64 eps x x))
94.1%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
73.5%
(fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
100.0%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
73.5%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Rules
1794×times-frac
1430×fma-neg
938×associate-/l*
772×associate-/r*
458×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037874
181867
2198851
3656793
42323793
Stop Event
node limit
Calls
Call 1
Inputs
(/.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 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(-.f64 1 eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 1 eps) -1)
-1
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(+.f64 1 eps)
2
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(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 (/.f64 -1 eps))
1
(/.f64 -1 eps)
-1
eps
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 x)
x
(+.f64 eps -1)
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (/.f64 -1 eps))
(exp.f64 (fma.f64 eps x x))
(fma.f64 eps x x)
2
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (neg.f64 (fma.f64 eps x x))))) 2)
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.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 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (+.f64 eps -1))
(-.f64 1 eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))
(+.f64 (/.f64 1 eps) -1)
-1
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 (neg.f64 x) (+.f64 1 eps))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 eps)
2
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (neg.f64 (fma.f64 eps x x))))) 2)
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.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)
(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 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 1 (/.f64 -1 eps))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 -1 eps)
-1
eps
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(exp.f64 x)
x
(+.f64 eps -1)
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 1 (/.f64 -1 eps))
(-.f64 1 (/.f64 1 eps))
(exp.f64 (fma.f64 eps x x))
(fma.f64 eps x x)
2
Compiler

Compiled 234 to 147 computations (37.2% saved)

series78.0ms (0.4%)

Counts
8 → 176
Calls

48 calls:

TimeVariablePointExpression
29.0ms
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))))
23.0ms
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))))

rewrite382.0ms (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
034363
1615319
Stop Event
node limit
Counts
8 → 281
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)))))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(*.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))
(exp.f64 (fma.f64 eps x x))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1))) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (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)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (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)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.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)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (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)))
(+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1))
(+.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1) (*.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)))) 1))
(*.f64 1 (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 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))) (-.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
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(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
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(exp.f64 (fma.f64 eps x x))
(exp.f64 (*.f64 (fma.f64 eps x x) 1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
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(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (fma.f64 eps x x)) -1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 x) (+.f64 (*.f64 (+.f64 eps -1) 1/2) (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps -1) 1))
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 (+.f64 eps -1) 1/2)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 x 1))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 eps -1) 1/2))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) (fma.f64 eps x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2) (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
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(*.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))))
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(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)))))

simplify269.0ms (1.4%)

Algorithm
egg-herbie
Rules
1474×fma-def
596×+-commutative
554×distribute-rgt-in
554×distribute-lft-in
540×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080230171
1233930171
Stop Event
node limit
Counts
457 → 291
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 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
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2
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1
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1
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2
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1
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1
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(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
Outputs
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))))) (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x))))))
(-.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 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (*.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))))))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(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 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.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 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))))
(-.f64 (*.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 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
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 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 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.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 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
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(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) 1) (exp.f64 (fma.f64 eps x x)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))

eval194.0ms (1%)

Compiler

Compiled 11339 to 7664 computations (32.4% saved)

prune64.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2829291
Fresh000
Picked202
Done000
Total2849293
Accuracy
100.0%
Counts
293 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.0%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
55.8%
(/.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)
55.8%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.2%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
39.4%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
41.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
99.2%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
44.4%
(/.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)
44.4%
(/.f64 2 2)
Compiler

Compiled 426 to 346 computations (18.8% saved)

localize789.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
2
100.0%
1
100.0%
-1
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
99.9%
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
68.7%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
100.0%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
74.7%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
100.0%
(/.f64 2 2)
100.0%
2
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(*.f64 x (+.f64 1 eps))
100.0%
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
100.0%
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
Rules
1034×unsub-neg
944×div-sub
864×sub-neg
662×fma-neg
640×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0461444
11461330
24431265
317531170
459791170
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 x (+.f64 1 eps))
(+.f64 1 eps)
2
(/.f64 2 2)
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(-.f64 1 eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 (/.f64 1 eps) -1)
-1
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 1 eps) -1)
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(+.f64 1 eps)
(neg.f64 x)
2
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(+.f64 x 1)
x
1
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
-1
2
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))))
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))
(neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))
(/.f64 -1 (exp.f64 (fma.f64 x eps x)))
(neg.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 -1 (*.f64 x (+.f64 1 eps)))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(*.f64 x (+.f64 1 eps))
(fma.f64 x eps x)
(+.f64 1 eps)
2
(/.f64 2 2)
1
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 1 eps))) (+.f64 -1 (/.f64 1 eps))) 2)
(/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (neg.f64 (/.f64 1 eps)))) 2)
(-.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)) 2) -1/2)
(+.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)) 2) 1/2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
(-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 1 eps))) (+.f64 -1 (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (neg.f64 (/.f64 1 eps))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) 1) (/.f64 -1 eps))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
(-.f64 1 eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
-1
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (-.f64 1 eps) (neg.f64 x) 1)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) 1) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x)))) 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (-.f64 1 eps) (neg.f64 x) 1)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) 1) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (-.f64 1 eps) (neg.f64 x) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) 1))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(fma.f64 (-.f64 1 eps) (neg.f64 x) 1)
(-.f64 1 (*.f64 x (-.f64 1 eps)))
(fma.f64 x (+.f64 -1 eps) 1)
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 eps)
(neg.f64 x)
2
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 2 (/.f64 -2 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(/.f64 (+.f64 x 1) (exp.f64 x))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(/.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 2 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2)
(/.f64 2 (/.f64 -2 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(/.f64 (+.f64 x 1) (exp.f64 x))
(+.f64 x 1)
x
1
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
-1
2
Compiler

Compiled 420 to 294 computations (30% saved)

series22.0ms (0.1%)

Counts
16 → 192
Calls

63 calls:

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

rewrite210.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
500×associate-*r*
270×log1p-expm1-u
270×expm1-log1p-u
264×add-exp-log
264×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038432
1695380
Stop Event
node limit
Counts
16 → 348
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(*.f64 x (+.f64 1 eps))
(*.f64 x (-.f64 1 eps))
2
(/.f64 2 2)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps)))))
(*.f64 x (-.f64 1 eps))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
-1
1
2
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 -1) (*.f64 eps x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 eps x)))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) -1)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (+.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 1) (*.f64 x (+.f64 1 eps)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps)))) (sqrt.f64 (*.f64 x (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) -1)
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 x (-.f64 1 eps)) 1))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 1) (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(+.f64 x (neg.f64 (*.f64 eps x)))
(+.f64 x (neg.f64 (*.f64 x eps)))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(+.f64 x (*.f64 -1 (*.f64 x eps)))
(+.f64 x (*.f64 (*.f64 eps x) 1))
(+.f64 x (*.f64 (*.f64 x eps) 1))
(+.f64 0 (*.f64 x (+.f64 1 eps)))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 x -1) (*.f64 (*.f64 eps x) -1))
(+.f64 (*.f64 x -1) (*.f64 (*.f64 x eps) -1))
(-.f64 0 (*.f64 x (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 eps)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 x 2) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps)))
(pow.f64 (*.f64 x (+.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
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(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(fma.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (fma.f64 x (-.f64 1 eps) 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 eps) 1)) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 eps) 1)) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 1))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 1))
(+.f64 (fma.f64 x (-.f64 1 eps) 1) (*.f64 (/.f64 1 eps) (fma.f64 x (-.f64 1 eps) 1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (fma.f64 x (-.f64 1 eps) 1) 1) (*.f64 (fma.f64 x (-.f64 1 eps) 1) (/.f64 1 eps)))
(+.f64 (*.f64 (fma.f64 x (-.f64 1 eps) 1) (/.f64 1 eps)) (*.f64 (fma.f64 x (-.f64 1 eps) 1) 1))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 x (-.f64 1 eps) 1)) (fma.f64 x (-.f64 1 eps) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (fma.f64 x (-.f64 1 eps) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (*.f64 (-.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps)))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps)))) (-.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (fma.f64 x (-.f64 1 eps) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 x (-.f64 1 eps) 1) (-.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 eps) 1)) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 (fma.f64 x (-.f64 1 eps) 1) 1)
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(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 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (exp.f64 x) 1) (*.f64 (exp.f64 x) x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))

simplify251.0ms (1.3%)

Algorithm
egg-herbie
Rules
1776×fma-def
876×distribute-rgt-in
864×distribute-lft-in
848×associate-+r+
490×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092733962
1272830979
Stop Event
node limit
Counts
540 → 613
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
1
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(exp.f64 (*.f64 -1 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
x
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
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x
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps)))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (-.f64 1 eps)))) (-.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (fma.f64 x (-.f64 1 eps) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 x (-.f64 1 eps) 1) (-.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps)))))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 eps) 1)) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 (fma.f64 x (-.f64 1 eps) 1) 1)
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(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 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (exp.f64 x) 1) (*.f64 (exp.f64 x) x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(+.f64 1 (neg.f64 (fma.f64 x eps x)))
(-.f64 1 (fma.f64 x eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 -1 (fma.f64 x eps x) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 1 (fma.f64 -1 (fma.f64 x eps x) (fma.f64 -1/6 (pow.f64 (fma.f64 x eps x) 3) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (-.f64 1 (fma.f64 x eps x)) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) (*.f64 -1/6 (pow.f64 (fma.f64 x eps x) 3))))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 x (/.f64 -1 (exp.f64 x))))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 (neg.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 (neg.f64 x))))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 (neg.f64 eps))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
1
(+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (*.f64 x (neg.f64 (-.f64 1 eps))))
(fma.f64 x (+.f64 -1 eps) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 x (+.f64 -1 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) (fma.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1 eps) 2))))))
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/6 (*.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 x 2) (pow.f64 eps 2)) (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (exp.f64 (neg.f64 x))) 1/6))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
x
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
x
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 -1 (*.f64 eps x)))
(*.f64 x (-.f64 1 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 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 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))
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(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(+.f64 x (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(*.f64 x (-.f64 1 eps))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(*.f64 x (-.f64 1 eps))
(-.f64 (fma.f64 x (-.f64 1 eps) 1) 1)
(+.f64 (fma.f64 x (-.f64 1 eps) 1) -1)
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(*.f64 x (-.f64 1 eps))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(*.f64 x (-.f64 1 eps))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(*.f64 x (-.f64 1 eps))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(*.f64 x (-.f64 1 eps))
(neg.f64 (*.f64 x (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(fabs.f64 (*.f64 x (-.f64 1 eps)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(*.f64 x (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))
(*.f64 x (-.f64 1 eps))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 (exp.f64 x) 1) (*.f64 (exp.f64 x) x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (+.f64 1 x))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (+.f64 1 x))) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(fabs.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))

eval510.0ms (2.7%)

Compiler

Compiled 26560 to 19610 computations (26.2% saved)

prune164.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New75710767
Fresh314
Picked415
Done000
Total76412776
Accuracy
100.0%
Counts
776 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.6%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
25.2%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
55.8%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
55.8%
(/.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)
30.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
99.2%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
94.7%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
36.9%
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
66.9%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
11.4%
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
11.4%
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
44.4%
(/.f64 2 2)
Compiler

Compiled 415 to 339 computations (18.3% saved)

localize755.0ms (4%)

Algorithm
egg-herbie
Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
100.0%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
100.0%
(/.f64 (-.f64 1 x) eps)
74.0%
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
eps
100.0%
2
100.0%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
100.0%
(/.f64 (expm1.f64 (neg.f64 x)) eps)
100.0%
-1
100.0%
(+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))))
100.0%
(*.f64 x (-.f64 1 eps))
99.8%
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
100.0%
1
100.0%
-1
100.0%
(*.f64 x (-.f64 1 eps))
99.8%
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
100.0%
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(*.f64 x (+.f64 1 eps))
100.0%
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
Rules
954×fma-def
886×distribute-lft-in
804×distribute-rgt-in
750×unsub-neg
664×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0411089
11081073
23021043
311071001
44177949
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
(exp.f64 -1)
(*.f64 x (+.f64 1 eps))
(+.f64 1 eps)
2
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(+.f64 -1 (/.f64 -1 eps))
-1
(/.f64 -1 eps)
2
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))))
2
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(+.f64 -1 (/.f64 -1 eps))
-1
(/.f64 -1 eps)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
eps
2
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(/.f64 (-.f64 1 x) eps)
(-.f64 1 x)
1
x
eps
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 1 eps) -1)
(/.f64 1 eps)
-1
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(+.f64 1 eps)
(neg.f64 x)
2
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))
(neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))
(/.f64 -1 (exp.f64 (fma.f64 x eps x)))
(neg.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 -1)
(*.f64 x (+.f64 1 eps))
(fma.f64 x eps x)
(+.f64 1 eps)
2
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)
(*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) 2) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 (+.f64 -1 (/.f64 -1 eps)) (/.f64 x (/.f64 2 (-.f64 1 eps))))
(*.f64 (*.f64 x (-.f64 1 eps)) (/.f64 (+.f64 -1 (/.f64 -1 eps)) 2))
(/.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))) 2)
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
(*.f64 x (+.f64 eps (/.f64 -1 eps)))
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(+.f64 -1 (/.f64 -1 eps))
-1
(/.f64 -1 eps)
2
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) 2)
(/.f64 (+.f64 2 (*.f64 x (+.f64 eps (/.f64 -1 eps)))) 2)
(+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))))
(+.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)
(+.f64 2 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
2
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))
(*.f64 x (+.f64 eps (/.f64 -1 eps)))
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(+.f64 -1 (/.f64 -1 eps))
-1
(/.f64 -1 eps)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (expm1.f64 (neg.f64 x)) (*.f64 2 eps))
(/.f64 (expm1.f64 (neg.f64 x)) (*.f64 eps 2))
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
x
eps
2
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 x) eps)) 2)
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 x) eps)) 2)
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 x) eps))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 x) eps))
(/.f64 (-.f64 1 x) eps)
(-.f64 1 x)
1
x
eps
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(/.f64 1 eps)
-1
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 eps)))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 eps)
(neg.f64 x)
2
Compiler

Compiled 316 to 217 computations (31.3% saved)

series18.0ms (0.1%)

Counts
13 → 180
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (expm1.f64 (neg.f64 x)) eps)
1.0ms
x
@0
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
1.0ms
eps
@0
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
x
@inf
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
1.0ms
eps
@0
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))

rewrite134.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
506×associate-*r*
283×log1p-expm1-u
282×expm1-log1p-u
273×pow1
271×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033302
1612280
Stop Event
node limit
Counts
13 → 276
Calls
Call 1
Inputs
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
-1
1
(*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps)))
(+.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))))
-1
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
2
eps
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(/.f64 (-.f64 1 x) eps)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 -1) (*.f64 eps x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 eps x)))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (pow.f64 1 (*.f64 x (+.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -2)) (*.f64 x (+.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 1 eps))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 1 eps))) (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(exp.f64 (*.f64 x (+.f64 1 eps)))
(exp.f64 (*.f64 (*.f64 x (+.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.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)) eps))
(+.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (*.f64 (*.f64 x (-.f64 1 eps)) -1))
(+.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 1 eps)))
(+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) 1) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) 1))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) 1) (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) 3) (pow.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (-.f64 (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps)) (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (pow.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps)))) (*.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))))) (-.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.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 (sqrt.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 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))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))))
(fma.f64 (*.f64 x (-.f64 1 eps)) -1 (/.f64 (*.f64 x (-.f64 1 eps)) eps))
(+.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)) eps))
(+.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (*.f64 (*.f64 x (-.f64 1 eps)) -1))
(+.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 1 eps)))
(+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) 1) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) 1))
(+.f64 (*.f64 (*.f64 x (-.f64 1 eps)) 1) (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) 3) (pow.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (-.f64 (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps)) (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) (pow.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps)))) (*.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) (*.f64 (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))))) (-.f64 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.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 (sqrt.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 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))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))))
(fma.f64 (*.f64 x (-.f64 1 eps)) -1 (/.f64 (*.f64 x (-.f64 1 eps)) eps))
(-.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2))) 1)
(-.f64 (/.f64 4 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) (/.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(-.f64 (-.f64 2 (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (/.f64 (*.f64 x (-.f64 1 eps)) eps))
(-.f64 (-.f64 2 (*.f64 x (-.f64 1 eps))) (*.f64 (/.f64 -1 eps) (*.f64 x (-.f64 1 eps))))
(*.f64 1 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) 2) (cbrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) (sqrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(*.f64 (+.f64 8 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3)) (/.f64 1 (+.f64 4 (*.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(*.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)) (/.f64 1 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))) (+.f64 8 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) (-.f64 4 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3)) (+.f64 4 (*.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))))
(/.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)) (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3))) (neg.f64 (+.f64 4 (*.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))) (neg.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3) 8) (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2) (-.f64 4 (*.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))))
(/.f64 (-.f64 8 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 3)) (+.f64 4 (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2) (*.f64 2 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2) 4) (-.f64 (*.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps)))) 2))
(pow.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)))
(fma.f64 x (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))) 2)
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(pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 1)
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(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 1))
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(fma.f64 1 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 x) (/.f64 -1 eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))))
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(exp.f64 (-.f64 (log1p.f64 x) (log.f64 eps)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) eps)))
(fma.f64 1 (/.f64 -1 eps) (neg.f64 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 -1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))

simplify231.0ms (1.2%)

Algorithm
egg-herbie
Rules
1098×associate-*r*
998×associate-*l*
966×fma-def
860×times-frac
338×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071022743
1191320435
Stop Event
node limit
Counts
456 → 464
Calls
Call 1
Inputs
1
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2
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (/.f64 (+.f64 1 x) eps)))) (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (/.f64 (+.f64 1 x) eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (/.f64 (+.f64 1 x) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (neg.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(fma.f64 1 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 x) (/.f64 -1 eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (/.f64 -1 eps) (neg.f64 (/.f64 x eps)))
(-.f64 (/.f64 -1 eps) (/.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) eps))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) eps))
(*.f64 (+.f64 1 x) (/.f64 -1 eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) eps)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (/.f64 (+.f64 1 x) eps)))
(*.f64 (pow.f64 eps -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 eps)))
(*.f64 (+.f64 -1 x) (/.f64 -1 eps))
(*.f64 (*.f64 (+.f64 1 x) 1) (/.f64 -1 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) eps))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 eps)))
(*.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 -1 (cbrt.f64 eps)))
(*.f64 (*.f64 (+.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))
(pow.f64 (/.f64 (+.f64 1 x) eps) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) 2)
(pow.f64 (/.f64 eps (+.f64 1 x)) -1)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) eps)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 eps)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) eps)))
(fma.f64 1 (/.f64 -1 eps) (neg.f64 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 -1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(-.f64 1 (*.f64 x (+.f64 1 eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (-.f64 1 (*.f64 x (+.f64 1 eps))) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) 1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 1 eps)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2))))))
(+.f64 (-.f64 1 (*.f64 x (+.f64 1 eps))) (fma.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 eps) 2)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) -1/6))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (/.f64 x (exp.f64 x))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 x (/.f64 x (exp.f64 x)))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 eps))))
(+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 x))))))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (/.f64 x (exp.f64 x)))) (fma.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 x (/.f64 x (exp.f64 x)))) (*.f64 -1/6 (*.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (exp.f64 (neg.f64 x))))))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 -1 eps)))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(*.f64 (+.f64 x (/.f64 x eps)) (+.f64 -1 eps))
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(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 (+.f64 1 x) eps)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 3)) (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) (neg.f64 eps))) (pow.f64 (/.f64 (+.f64 1 x) eps) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 1)
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 3)
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 3) 1/3)
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 2)
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2))
(fabs.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps)))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 3))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) 1))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(fma.f64 1 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(fma.f64 (+.f64 1 x) (/.f64 -1 eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (/.f64 -1 eps) (+.f64 1 x) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 1 x) eps))
(+.f64 (/.f64 -1 eps) (neg.f64 (/.f64 x eps)))
(-.f64 (/.f64 -1 eps) (/.f64 x eps))
(-.f64 (/.f64 -1 eps) (/.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) eps))) 1)
(/.f64 (+.f64 1 x) eps)
(*.f64 1 (/.f64 (+.f64 1 x) eps))
(/.f64 (+.f64 1 x) eps)
(*.f64 (+.f64 1 x) (/.f64 -1 eps))
(*.f64 (/.f64 -1 eps) (+.f64 1 x))
(/.f64 (+.f64 1 x) (neg.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) eps)))
(/.f64 (+.f64 1 x) eps)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (/.f64 (+.f64 1 x) eps)))
(/.f64 (+.f64 1 x) eps)
(*.f64 (pow.f64 eps -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 eps)))
(*.f64 (+.f64 -1 x) (/.f64 -1 eps))
(*.f64 (/.f64 -1 eps) (+.f64 -1 x))
(*.f64 (*.f64 (+.f64 1 x) 1) (/.f64 -1 eps))
(*.f64 (/.f64 -1 eps) (+.f64 1 x))
(/.f64 (+.f64 1 x) (neg.f64 eps))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 eps)))
(/.f64 (+.f64 1 x) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) eps))
(/.f64 (+.f64 1 x) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) eps)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) eps))) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 eps)))
(/.f64 (+.f64 1 x) eps)
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) eps))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) eps))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 eps)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) eps))
(*.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 -1 (cbrt.f64 eps)))
(*.f64 (/.f64 -1 (cbrt.f64 eps)) (*.f64 (cbrt.f64 (pow.f64 eps -2)) (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 eps -2)) (+.f64 -1 (neg.f64 x))) (cbrt.f64 eps))
(*.f64 (*.f64 (+.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))
(/.f64 (+.f64 1 x) eps)
(pow.f64 (/.f64 (+.f64 1 x) eps) 1)
(/.f64 (+.f64 1 x) eps)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) eps)) 3)
(/.f64 (+.f64 1 x) eps)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) 1/3)
(/.f64 (+.f64 1 x) eps)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) 2)
(/.f64 (+.f64 1 x) eps)
(pow.f64 (/.f64 eps (+.f64 1 x)) -1)
(/.f64 1 (/.f64 eps (+.f64 1 x)))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 eps)))
(/.f64 (neg.f64 (+.f64 1 x)) (neg.f64 eps))
(/.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 eps))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2))
(fabs.f64 (/.f64 (+.f64 1 x) eps))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) eps)))
(/.f64 (+.f64 1 x) eps)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))))
(/.f64 (+.f64 1 x) eps)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3))
(/.f64 (+.f64 1 x) eps)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) eps)))
(/.f64 (+.f64 1 x) eps)
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 eps)))
(/.f64 (exp.f64 (log1p.f64 x)) eps)
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 eps)) 1))
(/.f64 (exp.f64 (log1p.f64 x)) eps)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) eps)))
(/.f64 (+.f64 1 x) eps)
(fma.f64 1 (/.f64 -1 eps) (neg.f64 (/.f64 x eps)))
(-.f64 (/.f64 -1 eps) (/.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 -1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 -1 (cbrt.f64 eps))) (/.f64 x eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))
(fma.f64 -1 (/.f64 x eps) (/.f64 1 eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))

eval664.0ms (3.5%)

Compiler

Compiled 27329 to 19965 computations (26.9% saved)

prune272.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1181131194
Fresh156
Picked415
Done011
Total1186201206
Accuracy
100.0%
Counts
1206 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
15.6%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
18.7%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
55.8%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
25.6%
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
55.8%
(/.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)
30.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
94.7%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
94.7%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
28.9%
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
35.1%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 -1 eps)) x))) 2)
52.1%
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
66.9%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
9.4%
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
9.4%
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
9.4%
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
11.5%
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
11.4%
(/.f64 (*.f64 x eps) 2)
2.6%
(/.f64 (*.f64 -1/2 x) eps)
44.4%
(/.f64 2 2)
Compiler

Compiled 646 to 512 computations (20.7% saved)

localize710.0ms (3.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
1
100.0%
(*.f64 x (neg.f64 (-.f64 1 eps)))
100.0%
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
100.0%
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
100.0%
2
100.0%
1
100.0%
-1
61.8%
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
100.0%
eps
100.0%
2
100.0%
-1
86.7%
(*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps)))
100.0%
(*.f64 -1/2 x)
100.0%
x
100.0%
eps
100.0%
-1/2
100.0%
(pow.f64 (exp.f64 -1) (*.f64 x eps))
100.0%
(*.f64 x (-.f64 1 eps))
100.0%
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
100.0%
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps))))
Rules
1714×fma-def
1358×div-sub
1130×unsub-neg
586×distribute-lft-in
516×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041686
1108642
2292628
3935594
42987592
56659592
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps))))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(pow.f64 (exp.f64 -1) (*.f64 x eps))
(exp.f64 -1)
(*.f64 x eps)
2
(/.f64 (*.f64 -1/2 x) eps)
(*.f64 -1/2 x)
-1/2
x
eps
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 x (neg.f64 eps))
x
(neg.f64 eps)
eps
(+.f64 -1 (/.f64 -1 eps))
-1
(/.f64 -1 eps)
2
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 (/.f64 1 eps) -1)
-1
2
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
1
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(*.f64 x (neg.f64 (-.f64 1 eps)))
x
(neg.f64 (-.f64 1 eps))
(-.f64 1 eps)
eps
2
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 -1) (*.f64 x eps))) 2)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (neg.f64 eps))) 2)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps))))
(-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 -1 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
-1
(*.f64 x (-.f64 1 eps))
x
(-.f64 1 eps)
1
eps
(*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x eps)))
(neg.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(/.f64 -1 (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 -1) (*.f64 x eps))
(pow.f64 (exp.f64 x) (neg.f64 eps))
(exp.f64 -1)
(*.f64 x eps)
2
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x -1/2) eps)
(*.f64 (/.f64 -1/2 eps) x)
(*.f64 x (/.f64 -1/2 eps))
(/.f64 x (/.f64 eps -1/2))
(*.f64 -1/2 x)
(*.f64 x -1/2)
-1/2
x
eps
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 x (neg.f64 eps)) (/.f64 2 (+.f64 -1 (/.f64 -1 eps))))
(*.f64 (/.f64 x 2) (+.f64 eps (/.f64 eps eps)))
(/.f64 (fma.f64 x eps x) 2)
(*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 (neg.f64 eps) (*.f64 x (+.f64 -1 (/.f64 -1 eps))))
(*.f64 x (+.f64 eps (/.f64 eps eps)))
(fma.f64 x eps x)
(*.f64 x (neg.f64 eps))
x
(neg.f64 eps)
eps
(+.f64 -1 (/.f64 -1 eps))
(-.f64 -1 (/.f64 1 eps))
-1
(/.f64 -1 eps)
2
(/.f64 (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
1
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
2
(+.f64 1 (/.f64 1 eps))
1
(/.f64 1 eps)
eps
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(-.f64 -1 (/.f64 -1 eps))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(-.f64 -1 (/.f64 -1 eps))
-1
2
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))) 2)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)
(-.f64 (/.f64 1/2 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) -1/2)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
1
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 eps))
x
(neg.f64 (-.f64 1 eps))
(+.f64 -1 eps)
(-.f64 1 eps)
eps
2
Compiler

Compiled 233 to 162 computations (30.5% saved)

series13.0ms (0.1%)

Counts
16 → 156
Calls

45 calls:

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

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
502×associate-*r*
322×associate-*l*
271×log1p-expm1-u
271×expm1-log1p-u
261×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036257
1648225
Stop Event
node limit
Counts
16 → 257
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps))))
(pow.f64 (exp.f64 -1) (*.f64 x eps))
-1/2
x
(*.f64 -1/2 x)
(*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps)))
-1
2
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
-1
1
2
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(*.f64 x (neg.f64 (-.f64 1 eps)))
1
Outputs
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (fma.f64 (pow.f64 (exp.f64 eps) x) -1 (pow.f64 (exp.f64 eps) x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (fma.f64 (pow.f64 (exp.f64 eps) x) 1 (pow.f64 (exp.f64 eps) x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (fma.f64 1 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps))) (pow.f64 (exp.f64 eps) x)))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 eps) x)))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1) (pow.f64 (exp.f64 eps) x))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x eps))))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x eps)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x eps)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps)) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x eps))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2) (exp.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) (*.f64 x eps))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (pow.f64 (exp.f64 eps) x))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 eps) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (exp.f64 eps) x))
(-.f64 0 (pow.f64 (exp.f64 eps) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x))) 1)
(*.f64 -1 (pow.f64 (exp.f64 eps) x))
(*.f64 1 (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 (exp.f64 eps) x) -1)
(*.f64 (pow.f64 (exp.f64 eps) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) -1))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (pow.f64 1 (*.f64 x eps)) (pow.f64 (exp.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -2)) (*.f64 x eps)) (pow.f64 (cbrt.f64 (exp.f64 -1)) (*.f64 x eps)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x eps)) (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x eps)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps)))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps)))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(/.f64 1 (pow.f64 (exp.f64 eps) x))
(neg.f64 (pow.f64 (exp.f64 eps) x))
(sqrt.f64 (pow.f64 (exp.f64 -2) (*.f64 x eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 eps) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 eps) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (*.f64 x eps) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 eps) x)))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/2))) 1)
(pow.f64 (*.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/2) 3) 1/3)
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(pow.f64 (pow.f64 (exp.f64 x) -1) (+.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
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(cbrt.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))
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(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
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(-.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)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))))

simplify84.0ms (0.4%)

Algorithm
egg-herbie
Rules
1044×fma-def
916×associate-*r*
840×associate-*l*
528×distribute-lft-in
526×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0683413
11789413
Stop Event
node limit
Counts
413 → 296
Calls
Call 1
Inputs
2
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1
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1
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x
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2
2
2
2
2
2
2
2
2
2
2
2
2
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1
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(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (log1p.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(*.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3))) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
(*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))) (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) 1) (expm1.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (pow.f64 1 (*.f64 x (+.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -2)) (*.f64 x (+.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))) (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) -1)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 -1 eps)))
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 x (+.f64 -1 eps)) 1))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 1))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3)
(pow.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (pow.f64 (exp.f64 x) -1) (+.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(pow.f64 (exp.f64 1) (*.f64 x (+.f64 -1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(cbrt.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(+.f64 x (*.f64 x eps))
(+.f64 0 (*.f64 x (+.f64 -1 eps)))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 x eps))
(+.f64 (*.f64 x 1) (*.f64 x eps))
(-.f64 0 (*.f64 x (+.f64 -1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps)))) 1)
(pow.f64 (*.f64 x (+.f64 -1 eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps))) 2)
(neg.f64 (*.f64 x (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))))
Outputs
2
(+.f64 2 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)))
2
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2))))))
2
(+.f64 2 (+.f64 (*.f64 x (-.f64 (*.f64 -1 (-.f64 1 eps)) eps)) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 eps 2)))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 eps 3)))))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(+.f64 1 (exp.f64 (*.f64 -1 x)))
2
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x))))
2
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))))))
2
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 -1 x))) x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x)))) (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x)))) (*.f64 1/6 (pow.f64 x 3))))))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(-.f64 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 eps))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
1
2
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
2
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
2
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
1
2
(+.f64 1 (*.f64 -1 (*.f64 eps x)))
2
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
2
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(exp.f64 (*.f64 -1 (*.f64 eps x)))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
(*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps))))
2
x
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
(*.f64 eps x)
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
(*.f64 eps x)
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
(+.f64 x (*.f64 eps x))
2
2
2
2
2
2
2
2
2
2
2
2
2
2
(+.f64 2 (*.f64 x (-.f64 eps 1)))
2
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1))))
2
(+.f64 2 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps 1) 2))) (*.f64 x (-.f64 eps 1)))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
(+.f64 1 (exp.f64 (*.f64 -1 x)))
2
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))
2
(+.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)))))))
2
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1 x))))) (*.f64 eps (*.f64 x (exp.f64 (*.f64 -1 x))))))))
2
(+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1))))
2
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(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))))
2
(fma.f64 -1 (*.f64 x eps) (*.f64 (/.f64 -1 eps) (*.f64 x eps)))
2
(fma.f64 (*.f64 x eps) -1 (/.f64 (*.f64 x eps) eps))
2
(+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))
2
(+.f64 1 (*.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))) 1))
2
(+.f64 (/.f64 -1 eps) (+.f64 1 (+.f64 1 (/.f64 -1 eps))))
2
(+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps))))
2
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))
2
(+.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (+.f64 -1 (/.f64 -1 eps))))
2
(+.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 -1 (+.f64 -1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 -1 eps))))
2
(+.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 eps))) 2) (+.f64 -1 (/.f64 -1 eps))))
2
(+.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 -1 (/.f64 -1 eps))) (+.f64 -1 (/.f64 -1 eps))))
2
(*.f64 1 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))
2
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)))
2
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
2
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 2)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 -1 (/.f64 -1 eps))))))
2
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 -1 (/.f64 -1 eps)))))
2
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 3))))
2
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 -1 (/.f64 -1 eps)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 2))))
2
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))))))
2
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 2)) (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 -1 (/.f64 -1 eps)))))
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (-.f64 (+.f64 (pow.f64 eps -2) 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 (+.f64 (pow.f64 eps -2) 1) (*.f64 (/.f64 -1 eps) -1))))
2
(/.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))))
2
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 eps -2)) (-.f64 (+.f64 (pow.f64 eps -2) 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 (+.f64 (pow.f64 eps -2) 1) (*.f64 (/.f64 -1 eps) -1))))
2
(/.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))) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2))
2
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (*.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 (+.f64 -1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))))))
2
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 -1 (/.f64 -1 eps)) 2))) (neg.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 -1 (/.f64 -1 eps))))))
2
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))) (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2))))
2
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (-.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))))
2
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))) (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))) (-.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))
2
(pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 1)
2
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))) 3)
2
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 3) 1/3)
2
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))) 2)
2
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 2))
2
(log.f64 (exp.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))))
2
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 3))
2
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(exp.f64 (log1p.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))
2
(exp.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))) 1))
2
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (+.f64 1 (/.f64 -1 eps))))))
2
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))
2
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))
2
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
2
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 1)
2
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)))
2
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(*.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3))) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
2
(*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))) (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))))
2
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))))
2
(/.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps))))))
2
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (expm1.f64 (*.f64 x (+.f64 -1 eps)))))))
2
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1))))
2
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2) 1) (expm1.f64 (*.f64 x (+.f64 -1 eps))))
2
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
2
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
2
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
2
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
2
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
2
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
2
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
2
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1))
2
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
2
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
2
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
2
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
2
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)))
2
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(*.f64 (pow.f64 1 (*.f64 x (+.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 -2)) (*.f64 x (+.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))))
2
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))) (pow.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 x (+.f64 -1 eps))))
2
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) -1)
2
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
2
(pow.f64 (exp.f64 -1) (*.f64 x (+.f64 -1 eps)))
2
(pow.f64 (exp.f64 -1) (*.f64 (*.f64 x (+.f64 -1 eps)) 1))
2
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 eps))
2
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
2
(pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 1))
2
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
2
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3)
2
(pow.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)) 1/3)
2
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)
2
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
2
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
2
(pow.f64 (pow.f64 (exp.f64 x) -1) (+.f64 -1 eps))
2
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
2
(pow.f64 (pow.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
2
(pow.f64 (exp.f64 1) (*.f64 x (+.f64 -1 eps)))
2
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
2
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
2
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))
2
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(cbrt.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 -1 eps)) 3)))
2
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
2
(+.f64 x (*.f64 x eps))
2
(+.f64 0 (*.f64 x (+.f64 -1 eps)))
2
(+.f64 (neg.f64 x) (*.f64 x eps))
2
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
2
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 x eps))
2
(+.f64 (*.f64 x 1) (*.f64 x eps))
2
(-.f64 0 (*.f64 x (+.f64 -1 eps)))
2
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps)))) 1)
2
(pow.f64 (*.f64 x (+.f64 -1 eps)) 1)
2
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 3)
2
(pow.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3) 1/3)
2
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps))) 2)
2
(neg.f64 (*.f64 x (+.f64 -1 eps)))
2
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 2))
2
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
2
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps)))))
2
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3))
2
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
2
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)))
2
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
2
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
2
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
2
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))))
2

eval324.0ms (1.7%)

Compiler

Compiled 16082 to 11796 computations (26.7% saved)

prune156.0ms (0.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New88011891
Fresh21113
Picked415
Done022
Total88625911
Accuracy
100.0%
Counts
911 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
15.6%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
18.7%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
55.8%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
25.6%
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
55.8%
(/.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)
94.7%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
94.7%
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
28.9%
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
35.1%
(/.f64 (-.f64 2 (*.f64 (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 -1 eps)) x))) 2)
30.0%
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
11.5%
(/.f64 (+.f64 x (*.f64 eps x)) 2)
52.1%
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
66.7%
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
64.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
63.8%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
9.4%
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
9.3%
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
9.3%
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
11.4%
(/.f64 (*.f64 x eps) 2)
11.5%
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
2.6%
(/.f64 (*.f64 -1/2 x) eps)
11.5%
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
3.1%
(/.f64 x 2)
44.4%
(/.f64 2 2)
Compiler

Compiled 1133 to 865 computations (23.7% saved)

regimes61.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (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 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 x (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (*.f64 -1 (*.f64 x (exp.f64 (*.f64 -1 x)))))) 2)
(/.f64 (fma.f64 (-.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
Calls

4 calls:

24.0ms
eps
22.0ms
x
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
99.2%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes57.0ms (0.3%)

Counts
43 → 1
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (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 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x eps)))) 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
Calls

4 calls:

22.0ms
x
21.0ms
eps
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
99.2%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes61.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
Calls

2 calls:

37.0ms
eps
20.0ms
x
Results
AccuracySegmentsBranch
94.7%1x
100.0%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes237.0ms (1.3%)

Counts
36 → 5
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
(/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 -1 (*.f64 x (-.f64 1 eps))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

2 calls:

133.0ms
eps
101.0ms
x
Results
AccuracySegmentsBranch
90.9%5x
86.2%5eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes230.0ms (1.2%)

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

1 calls:

228.0ms
x
Results
AccuracySegmentsBranch
90.9%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes130.0ms (0.7%)

Counts
27 → 7
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

1 calls:

127.0ms
x
Results
AccuracySegmentsBranch
92.3%7x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes126.0ms (0.7%)

Counts
26 → 7
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

2 calls:

109.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
66.7%1eps
85.0%7x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes113.0ms (0.6%)

Counts
25 → 8
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
Outputs
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 2 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

1 calls:

111.0ms
x
Results
AccuracySegmentsBranch
78.4%8x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes122.0ms (0.7%)

Counts
24 → 8
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 2 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

2 calls:

106.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
52.1%1eps
72.2%8x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes60.0ms (0.3%)

Counts
23 → 5
Calls
Call 1
Inputs
(/.f64 2 2)
(/.f64 x 2)
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 x (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (/.f64 x eps)) 2)
(/.f64 (*.f64 eps (*.f64 x (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (neg.f64 (*.f64 x (*.f64 eps (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps))) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (*.f64 (*.f64 x (-.f64 1 (/.f64 1 (/.f64 -1 eps)))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (*.f64 (*.f64 x (-.f64 1 eps)) -1)) (*.f64 (/.f64 (*.f64 x (-.f64 1 eps)) eps) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) (-.f64 (*.f64 (*.f64 x (-.f64 1 eps)) -1) (/.f64 (*.f64 x (-.f64 1 eps)) eps))) 2)
Outputs
(/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2)
(/.f64 2 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)
Calls

1 calls:

58.0ms
x
Results
AccuracySegmentsBranch
65.1%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

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

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
59.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

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

2 calls:

7.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
52.1%1eps
52.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

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

2 calls:

8.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
52.9%2x
49.1%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Accuracy

Total -27.5b remaining (-77.2%)

Threshold costs -27.5b (-77.2%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
44.4%1eps
44.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
26.0ms
7.978910272499017e-100
6.0662024923595975e-89
Results
17.0ms50×512valid
5.0ms29×256valid
1.0ms256unsamplable
0.0ms512infinite
Compiler

Compiled 251 to 204 computations (18.7% saved)

bsearch132.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
32.0ms
1.3485506198795905e+256
4.689000171024138e+266
29.0ms
1.1862330407133925e+80
2.2556277209550314e+89
35.0ms
2.4690592922397205e+61
2.0469957684765055e+71
34.0ms
-1.686117995318139e-280
-1.631868046341336e-282
Results
53.0ms280×256infinite
51.0ms257×256valid
12.0ms24×1024valid
3.0ms10×512valid
4.0ms2048valid
Compiler

Compiled 1113 to 945 computations (15.1% saved)

bsearch124.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
32.0ms
1.3485506198795905e+256
4.689000171024138e+266
29.0ms
1.1862330407133925e+80
2.2556277209550314e+89
35.0ms
2.4690592922397205e+61
2.0469957684765055e+71
28.0ms
-1.686117995318139e-280
-1.631868046341336e-282
Results
49.0ms275×256infinite
50.0ms258×256valid
11.0ms18×1024valid
2.0ms512valid
1.0ms2048valid
Compiler

Compiled 1058 to 895 computations (15.4% saved)

bsearch226.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
113.0ms
1.3485506198795905e+256
4.689000171024138e+266
27.0ms
1.8387578293923485e+206
1.3950510147053054e+214
19.0ms
3.3959034939403504e+128
4.91334212303667e+129
29.0ms
1.1862330407133925e+80
2.2556277209550314e+89
31.0ms
2.4690592922397205e+61
2.0469957684765055e+71
8.0ms
-1.686117995318139e-280
-1.631868046341336e-282
Results
70.0ms396×256infinite
61.0ms335×256valid
1.0ms512valid
2.0ms1024valid
Compiler

Compiled 1366 to 1129 computations (17.3% saved)

bsearch236.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
1.3485506198795905e+256
4.689000171024138e+266
29.0ms
1.8387578293923485e+206
1.3950510147053054e+214
62.0ms
3.3959034939403504e+128
4.91334212303667e+129
28.0ms
1.1862330407133925e+80
2.2556277209550314e+89
31.0ms
2.4690592922397205e+61
2.0469957684765055e+71
55.0ms
-3451.873488644632
-1.4080458159554429e-12
Results
145.0ms516×256infinite
55.0ms300×256valid
14.0ms27×1024valid
5.0ms15×512valid
4.0ms2048valid
1.0ms1024infinite
Compiler

Compiled 1542 to 1265 computations (18% saved)

bsearch291.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
1.3485506198795905e+256
4.689000171024138e+266
33.0ms
1.8387578293923485e+206
1.3950510147053054e+214
31.0ms
3.3959034939403504e+128
4.91334212303667e+129
28.0ms
1.1862330407133925e+80
2.2556277209550314e+89
34.0ms
2.4690592922397205e+61
2.0469957684765055e+71
42.0ms
105.10042369269837
563414414641647040.0
93.0ms
-3451.873488644632
-1.4080458159554429e-12
Results
129.0ms616×256infinite
65.0ms334×256valid
69.0ms39×1024valid
9.0ms27×512valid
2.0ms1024infinite
2.0ms2048valid
1.0ms512infinite
Compiler

Compiled 1446 to 1223 computations (15.4% saved)

bsearch280.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
49.0ms
1.3485506198795905e+256
4.689000171024138e+266
36.0ms
1.8387578293923485e+206
1.3950510147053054e+214
23.0ms
3.3959034939403504e+128
4.91334212303667e+129
32.0ms
1.1862330407133925e+80
2.2556277209550314e+89
45.0ms
2.4690592922397205e+61
2.0469957684765055e+71
46.0ms
105.10042369269837
563414414641647040.0
49.0ms
-3451.873488644632
-1.4080458159554429e-12
Results
130.0ms607×256infinite
84.0ms345×256valid
31.0ms46×1024valid
7.0ms22×512valid
3.0ms2048valid
Compiler

Compiled 1506 to 1273 computations (15.5% saved)

bsearch435.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
1.3485506198795905e+256
4.689000171024138e+266
34.0ms
1.8387578293923485e+206
1.3950510147053054e+214
214.0ms
0.01229305444568573
17.343392187944335
144.0ms
-3451.873488644632
-1.4080458159554429e-12
Results
74.0ms349×256infinite
41.0ms166×256valid
122.0ms47×1024valid
187.0ms26×512valid
3.0ms2048valid
Compiler

Compiled 888 to 759 computations (14.5% saved)

bsearch62.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
62.0ms
-3451.873488644632
-1.4080458159554429e-12
Results
17.0ms96×256infinite
36.0ms35×1024valid
3.0ms18×256valid
3.0ms10×512valid
1.0ms2048valid
Compiler

Compiled 296 to 239 computations (19.3% saved)

bsearch51.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
0.01229305444568573
17.343392187944335
Results
13.0ms74×256infinite
27.0ms24×1024valid
5.0ms14×512valid
2.0ms13×256valid
2.0ms2048valid
Compiler

Compiled 148 to 125 computations (15.5% saved)

simplify441.0ms (2.4%)

Algorithm
egg-herbie
Rules
254×distribute-lft-neg-in
198×unsub-neg
136×cancel-sign-sub-inv
128×+-commutative
126×distribute-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02082198
13142088
24391944
36111798
47981798
59371782
610701782
711431782
811801782
912011782
1012141782
1112191782
1212201782
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(if (<=.f64 eps 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2))
(if (<=.f64 x -8894358555745383/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2) (if (<=.f64 x 200000000000000008376305112842291591798286773328067656628685542361399296) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 460000000000000008020827252800278474415903121708806145768539251327236235088363520) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 235999999999999999230090617929006195435500895690555395358690092765731733162527281823518768484298609201869782597355777051316160371877408932364527803835044295812001936756797416407945139999539085331062970546144074029749842456814582410922085599767442638596826726970425344) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(if (<=.f64 x -2354389029462013/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528) (/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2) (if (<=.f64 x 141999999999999997847937696641804413752919570573544000781330474336256) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 749999999999999989405064089285642937493920171282786755549242552344889288305472962560) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 960000000000000015525925723209200138972325803667116938528855452442119873888343568986881815965829149716662911711856604625116688556879320069951118784244382168105697513462201849175770166319327892548055702019878381000994703492257758109786122003443425482687996506406912) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(if (<=.f64 x -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) (/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))) 2) (if (<=.f64 x 1849999999999999942621214697592977688599614264057417665366298514685952) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 8000000000000000462132879184927173619498137016768513096784334905877698672135396917248) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 950000000000000013697980056442572787485982464440041018023989325269008486477911528055745044826253027092986072982834254297509658624) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 60000000000000002050743334772727202322689710023703145857201261755204060877721001948092918997788622869029281885487701188536079173282809283729711327607484208320995749934792886455116203674257140826455144478841765888) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 122000000000000002029021753206940592930113508253154779865232943901831873028208993341909194331112345379380503361737170800202380295546772420493261047497215839398155750489918971237401666269186484981888591678852341341230004001552050862928413200450761331423680520423211008) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))))
(if (<=.f64 x -480) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 6700000000000000102836738539773660755674351757054401197287227495809024) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 139999999999999992138831935449925184808511285378398708820252613393702318409515008) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 2799999999999999748746303252253180888025000206628768719473950910834791450659699242056163073340785646688211999676181908012025249792) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 209999999999999986781210890624521483194056321799808642565026374488527043417743355549615581485867923666919263604898111449455832157736034610620135189717299157934962694953616574012364521132335533547103929237504) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 465000000000000001395448438052487075354062419086035519572511157915936087403262622472041370651137936877780810540514903979519672856690628963284025792173968806623989515209579277635607938522401547175201320251917309549638292118562147290258911400226961159814132705917927424) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))))
(if (<=.f64 x -560) (/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2) (if (<=.f64 x 680) (/.f64 2 2) (if (<=.f64 x 132000000000000011489769028444220109600839206011227377651827643252736) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 25999999999999998374578043961539098081995195210220509422640335429396112876421251072) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 1259999999999999979284288486313492053390250327694540779418916825029046780800677325126183784949940911511881934740802891745945714688) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 289999999999999997021510559746272586825476755142675448378137822670554970379239582177697002735728501192269199537843894236666977355604846082894451010643436182488293676029669797991759364466374275027052647153664) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 3750000000000000159654825655686014304398287059203911313133713180848635122939978055427432000732721114030939817415277970767885377166606598163803484711318950557397991576969890497763751952808962744325628975233764564960808120102276133840496265936401378042951237632) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2))))))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 580) (/.f64 2 2) (if (<=.f64 x 830000000000000041044897935845654425232112920627748427845875401752576) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 1100000000000000043700750140904615483806070735759222375010907754568322221326359932698624) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (if (<=.f64 x 1649999999999999974636505838460259745824171851502615968986379848373917718158197632817544276059688362712347673043616298651471989706465476295025472902157966800139692273784726124039951036506123467242410948109008896) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 1580000000000000105960164958786541761313831605236466544165655445156001350524729416416211428285166196393399893994976149434510333449692196587026621290005686941172121170755010343865961870843498114184287275282778984197428154900930333490553273993333860000957047242752) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2))))))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 17) (/.f64 2 2) (if (<=.f64 x 234999999999999995573573548006173798727708766293908476765595631414481588002825555419743209483510389484885437280857993992887043419729208131554079673960117122028632843523145928562425006937743644543980854914070872064) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 22499999999999999259165539626230308360150247956889341934749837458857521543342756264060679073965024706114434942394275079631933507045522205800928565349088664420857628595011669306601512525864249396108092793024823713227336483066649335288681699820808260525234204539092992) (/.f64 (*.f64 x eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(if (<=.f64 x -1080863910568919/2251799813685248) (/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2) (/.f64 (+.f64 2 (*.f64 x eps)) 2))
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(if (<=.f64 x 4278419646001971/281474976710656) (/.f64 2 2) (/.f64 (*.f64 x eps) 2))
(/.f64 2 2)
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (pow.f64 (exp.f64 -1) (*.f64 x (+.f64 eps 1)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(if (<=.f64 eps 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 x (-.f64 1 eps)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2))
(if (<=.f64 eps 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x eps))))) 2))
(if (<=.f64 eps 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (exp.f64 (*.f64 x (neg.f64 eps)))) 2))
(if (<=.f64 eps 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (exp.f64 (*.f64 x (neg.f64 eps)))) 2))
(if (<=.f64 x -8894358555745383/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2) (if (<=.f64 x 200000000000000008376305112842291591798286773328067656628685542361399296) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (<=.f64 x 460000000000000008020827252800278474415903121708806145768539251327236235088363520) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 235999999999999999230090617929006195435500895690555395358690092765731733162527281823518768484298609201869782597355777051316160371877408932364527803835044295812001936756797416407945139999539085331062970546144074029749842456814582410922085599767442638596826726970425344) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(if (<=.f64 x -8894358555745383/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 (/.f64 1 (/.f64 -1 eps))))))) 2) (if (<=.f64 x 200000000000000008376305112842291591798286773328067656628685542361399296) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (or (<=.f64 x 460000000000000008020827252800278474415903121708806145768539251327236235088363520) (not (<=.f64 x 235999999999999999230090617929006195435500895690555395358690092765731733162527281823518768484298609201869782597355777051316160371877408932364527803835044295812001936756797416407945139999539085331062970546144074029749842456814582410922085599767442638596826726970425344))) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2))))
(if (<=.f64 x -8894358555745383/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 (/.f64 1 (/.f64 -1 eps)) (neg.f64 1))))) 2) (if (<=.f64 x 200000000000000008376305112842291591798286773328067656628685542361399296) (/.f64 (+.f64 1 (exp.f64 (+.f64 x (*.f64 x eps)))) 2) (if (or (<=.f64 x 460000000000000008020827252800278474415903121708806145768539251327236235088363520) (not (<=.f64 x 235999999999999999230090617929006195435500895690555395358690092765731733162527281823518768484298609201869782597355777051316160371877408932364527803835044295812001936756797416407945139999539085331062970546144074029749842456814582410922085599767442638596826726970425344))) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) 2))))
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(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x eps) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 580) 1 (if (or (<=.f64 x 830000000000000041044897935845654425232112920627748427845875401752576) (not (or (<=.f64 x 1100000000000000043700750140904615483806070735759222375010907754568322221326359932698624) (and (not (<=.f64 x 4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424)) (or (<=.f64 x 1649999999999999974636505838460259745824171851502615968986379848373917718158197632817544276059688362712347673043616298651471989706465476295025472902157966800139692273784726124039951036506123467242410948109008896) (not (<=.f64 x 1580000000000000105960164958786541761313831605236466544165655445156001350524729416416211428285166196393399893994976149434510333449692196587026621290005686941172121170755010343865961870843498114184287275282778984197428154900930333490553273993333860000957047242752))))))) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (+.f64 (-.f64 1 (/.f64 -1 eps)) 1)) 2))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x eps) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 580) 1 (if (or (<=.f64 x 830000000000000041044897935845654425232112920627748427845875401752576) (and (not (<=.f64 x 1100000000000000043700750140904615483806070735759222375010907754568322221326359932698624)) (or (<=.f64 x 4599999999999999807103336349652989205991072326870107790696821532450944592759536055284911720361260635040601939674015594449599463424) (and (not (<=.f64 x 1649999999999999974636505838460259745824171851502615968986379848373917718158197632817544276059688362712347673043616298651471989706465476295025472902157966800139692273784726124039951036506123467242410948109008896)) (<=.f64 x 1580000000000000105960164958786541761313831605236466544165655445156001350524729416416211428285166196393399893994976149434510333449692196587026621290005686941172121170755010343865961870843498114184287275282778984197428154900930333490553273993333860000957047242752))))) (/.f64 (/.f64 (expm1.f64 x) eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (+.f64 (-.f64 1 (/.f64 -1 eps)) 1)) 2))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 17) (/.f64 2 2) (if (<=.f64 x 234999999999999995573573548006173798727708766293908476765595631414481588002825555419743209483510389484885437280857993992887043419729208131554079673960117122028632843523145928562425006937743644543980854914070872064) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (if (<=.f64 x 22499999999999999259165539626230308360150247956889341934749837458857521543342756264060679073965024706114434942394275079631933507045522205800928565349088664420857628595011669306601512525864249396108092793024823713227336483066649335288681699820808260525234204539092992) (/.f64 (*.f64 x eps) 2) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2)))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x eps) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 17) 1 (if (or (<=.f64 x 234999999999999995573573548006173798727708766293908476765595631414481588002825555419743209483510389484885437280857993992887043419729208131554079673960117122028632843523145928562425006937743644543980854914070872064) (not (<=.f64 x 22499999999999999259165539626230308360150247956889341934749837458857521543342756264060679073965024706114434942394275079631933507045522205800928565349088664420857628595011669306601512525864249396108092793024823713227336483066649335288681699820808260525234204539092992))) (/.f64 (+.f64 (/.f64 -1 eps) (-.f64 1 (+.f64 -1 (/.f64 -1 eps)))) 2) (/.f64 (*.f64 x eps) 2))))
(if (<=.f64 x -607985949695017/2251799813685248) (/.f64 (*.f64 (*.f64 x eps) (+.f64 -1 (/.f64 -1 eps))) 2) (if (<=.f64 x 17) 1 (if (or (<=.f64 x 234999999999999995573573548006173798727708766293908476765595631414481588002825555419743209483510389484885437280857993992887043419729208131554079673960117122028632843523145928562425006937743644543980854914070872064) (not (<=.f64 x 22499999999999999259165539626230308360150247956889341934749837458857521543342756264060679073965024706114434942394275079631933507045522205800928565349088664420857628595011669306601512525864249396108092793024823713227336483066649335288681699820808260525234204539092992))) (/.f64 (+.f64 (/.f64 -1 eps) (+.f64 (-.f64 1 (/.f64 -1 eps)) 1)) 2) (/.f64 (*.f64 x eps) 2))))
(if (<=.f64 x -1080863910568919/2251799813685248) (/.f64 (*.f64 (*.f64 x (neg.f64 (neg.f64 eps))) (+.f64 -1 (/.f64 -1 eps))) 2) (/.f64 (+.f64 2 (*.f64 x eps)) 2))
(if (<=.f64 x -1080863910568919/2251799813685248) (/.f64 (*.f64 (*.f64 x eps) (+.f64 -1 (/.f64 -1 eps))) 2) (/.f64 (+.f64 2 (*.f64 x eps)) 2))
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(if (<=.f64 x 4278419646001971/281474976710656) (/.f64 2 2) (/.f64 (*.f64 x eps) 2))
(if (<=.f64 x 4278419646001971/281474976710656) 1 (/.f64 (*.f64 x eps) 2))
(/.f64 2 2)
1
Compiler

Compiled 538 to 418 computations (22.3% saved)

soundness4.2s (22.6%)

Rules
1818×div-sub
1776×fma-def
1776×fma-def
1776×fma-def
1776×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069785
1206721
2614666
32097658
47322658
080230171
1233930171
038432
1695380
092733962
1272830979
092733962
1272830979
071022743
1191320435
092733962
1272830979
092733962
1272830979
033302
1612280
071022743
1191320435
036257
1648225
092733962
1272830979
033302
1612280
071022743
1191320435
092733962
1272830979
036257
1648225
036257
1648225
033302
1612280
038432
1695380
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2218 to 1732 computations (21.9% saved)

end1.0ms (0%)

preprocess318.0ms (1.7%)

Compiler

Compiled 1446 to 1064 computations (26.4% saved)

Profiling

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