Details

Time bar (total: 12.9s)

analyze154.0ms (1.2%)

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
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%87.4%0.1%12.5%0%0%6
25.5%20.3%59.3%0.1%18.7%0%1.6%7
29%21.1%51.5%0.1%25%0%2.3%8
53.8%35.5%30.4%0.1%28.1%0%5.9%9
57.7%35.7%26.1%0.1%31.2%0%6.8%10
73.5%42.8%15.4%0.1%32.8%0%8.9%11
76.5%42.9%13.2%0.1%34.3%0%9.5%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.7s (28.7%)

Results
1.5s2060×body1024valid
1.3s4958×body256valid
460.0ms1028×body512valid
180.0ms210×body2048valid
145.0ms528×body256infinite
84.0ms430×body256unsamplable
12.0ms25×body1024infinite
2.0msbody512infinite
Bogosity

preprocess57.0ms (0.4%)

Algorithm
egg-herbie
Rules
1206×associate-*l/
866×associate-/l/
614×associate-/r/
568×fma-def
496×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037178
1106178
2302146
31044146
43380146
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
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 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 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x)))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 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 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 (neg.f64 (*.f64 eps (-.f64 1 x))))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (*.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps))) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 x))) 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)
(*.f64 1/2 (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)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
1500×times-frac
1062×cancel-sign-sub-inv
1004×fma-neg
918×associate-/l*
738×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
355473
4173473
Stop Event
node limit
Counts
1 → 6
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)
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 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (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 1/2 (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)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 118 computations (28% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Accurracy
51.9%
Counts
7 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
51.9%
(/.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)

localize76.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
99.9%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
99.9%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
98.9%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite176.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1942×fma-def
734×expm1-udef
730×log1p-udef
450×add-sqr-sqrt
444×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020142
1447118
26223104
Stop Event
node limit
Counts
4 → 245
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))
Outputs
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (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 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(+.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(*.f64 1 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(*.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 1)
(*.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 2) (cbrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (sqrt.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.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 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.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 (fma.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 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)) (-.f64 (pow.f64 (exp.f64 (fma.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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (-.f64 (pow.f64 (exp.f64 (fma.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 (pow.f64 (exp.f64 (fma.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)) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.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 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.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 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.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))) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
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(*.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 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(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 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(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))
(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 (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.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 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 1 x (*.f64 x (neg.f64 eps)))
(fma.f64 1 x (*.f64 (neg.f64 eps) x))
(fma.f64 x 1 (*.f64 x (neg.f64 eps)))
(fma.f64 x 1 (*.f64 (neg.f64 eps) x))
(fma.f64 x -1 (*.f64 x (neg.f64 eps)))
(fma.f64 x -1 (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 (neg.f64 eps) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 eps)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))

simplify262.0ms (2%)

Algorithm
egg-herbie
Rules
1014×fma-neg
804×times-frac
754×associate-*r*
646×fma-def
584×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060624881
1162023189
2569622539
Stop Event
node limit
Counts
341 → 422
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
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(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.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 (fma.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))))) (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)))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.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 (fma.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 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.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 (fma.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 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.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)))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) 1) (exp.f64 (fma.f64 eps x x)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.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))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.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))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps))) 1))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (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 1 (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(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 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (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 (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))
(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 (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 (exp.f64 x) (-.f64 1 eps)) 1)
(*.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 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(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 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(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))
(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 (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.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 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 1 x (*.f64 x (neg.f64 eps)))
(fma.f64 1 x (*.f64 (neg.f64 eps) x))
(fma.f64 x 1 (*.f64 x (neg.f64 eps)))
(fma.f64 x 1 (*.f64 (neg.f64 eps) x))
(fma.f64 x -1 (*.f64 x (neg.f64 eps)))
(fma.f64 x -1 (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 (neg.f64 eps) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 eps)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (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)))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
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2
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1
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(neg.f64 (fma.f64 x eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 -1 x (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 x eps x))

localize90.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
99.9%
(exp.f64 (fma.f64 eps x x))
97.0%
(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))))
Compiler

Compiled 102 to 58 computations (43.1% saved)

series67.0ms (0.5%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
39.0ms
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))))
20.0ms
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))))
1.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms
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))))
1.0ms
eps
@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))))

rewrite89.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1282×prod-diff
634×expm1-udef
634×log1p-udef
420×add-sqr-sqrt
414×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019128
1413124
25723124
Stop Event
node limit
Counts
4 → 95
Calls
Call 1
Inputs
(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))))
(exp.f64 (fma.f64 eps x x))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
Outputs
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (-.f64 (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(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 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (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)))
(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 (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 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(*.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 (neg.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 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (pow.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)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 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))))))
(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)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))

simplify122.0ms (0.9%)

Algorithm
egg-herbie
Rules
1134×unswap-sqr
862×cancel-sign-sub-inv
840×fma-neg
580×associate-*r*
556×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04199075
112398433
248398337
Stop Event
node limit
Counts
175 → 245
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.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 (-.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 (-.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 (-.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)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (-.f64 (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(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 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (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)))
(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 (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 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(*.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 (neg.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 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (pow.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)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 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))))))
(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)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 (exp.f64 x) x)) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 x (/.f64 (exp.f64 x) x)) -1/2))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))))
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2
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1
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1
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(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
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(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(exp.f64 (fma.f64 eps x x))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(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 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (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)))))
(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 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (fma.f64 eps x x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.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) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.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) (cbrt.f64 (pow.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) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2)))
(*.f64 (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) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))
(*.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 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (pow.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)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(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 (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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (-.f64 eps 1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (-.f64 eps 1))))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))
(*.f64 (pow.f64 (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)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (-.f64 eps 1)))
(pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 -2 (*.f64 2 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (-.f64 eps 1)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(pow.f64 (exp.f64 x) (-.f64 eps 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(pow.f64 (exp.f64 x) (-.f64 eps 1))

eval627.0ms (4.9%)

Compiler

Compiled 29647 to 18670 computations (37% saved)

prune152.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New65611667
Fresh000
Picked101
Done101
Total65811669
Accurracy
100.0%
Counts
669 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3))) 2)
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x)))) 2)
27.1%
(/.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3) 1/3) 2)
99.3%
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
99.3%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
30.6%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
29.9%
(/.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 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
29.9%
(/.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)
77.7%
(/.f64 2 2)
23.9%
(/.f64 0 2)
Compiler

Compiled 538 to 426 computations (20.8% saved)

localize22.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1546×pow1
1426×log1p-expm1-u
1426×expm1-log1p-u
1424×add-exp-log
1396×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118115
2229115
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 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)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(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)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
1168×fma-def
978×fma-neg
700×associate-+r+
624×associate-+l+
572×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085926
1201820
2550740
32194690
45100690
57869690
Stop Event
node limit
Counts
36 → 58
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 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)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(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)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 x (fma.f64 x x 1))))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.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) (+.f64 x (fma.f64 x x 1))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.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) (+.f64 x (fma.f64 x x 1))))
(*.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) (exp.f64 x)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.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))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize70.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1 eps) (neg.f64 x))
99.9%
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
95.3%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
Compiler

Compiled 102 to 74 computations (27.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1556×log-prod
1548×fma-def
586×expm1-udef
582×log1p-udef
510×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01757
138449
2500147
Stop Event
node limit
Counts
1 → 144
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) 1))
Outputs
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 0 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(*.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
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(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))

simplify169.0ms (1.3%)

Algorithm
egg-herbie
Rules
776×cancel-sign-sub-inv
664×fma-neg
638×unswap-sqr
480×associate-+r+
476×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035610780
198110428
2382410050
Stop Event
node limit
Counts
168 → 209
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 0 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(*.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))) (-.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (/.f64 1 (exp.f64 (+.f64 (/.f64 1 eps) -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (exp.f64 (+.f64 1 (/.f64 -1 eps)))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))) (exp.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
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(fma.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (/.f64 1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (/.f64 -1 eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) eps) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) eps) (/.f64 -1 eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
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(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))) (cbrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 1 (+.f64 (/.f64 -1 eps) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(+.f64 1 (+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 1 (/.f64 -1 eps)))

localize57.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1 eps) x)
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
99.9%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
98.2%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 150 to 109 computations (27.3% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

18 calls:

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

rewrite145.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
762×expm1-udef
760×log1p-udef
494×add-sqr-sqrt
488×pow1
488×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021135
1485123
27122123
Stop Event
node limit
Counts
3 → 117
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
(*.f64 (-.f64 1 eps) x)
Outputs
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (fma.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)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1))
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(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (/.f64 1 eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 (*.f64 (-.f64 1 eps) x) -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 (-.f64 1 eps) x) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) -1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) -1) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)) (+.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x))) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (+.f64 (*.f64 (-.f64 1 eps) x) -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (+.f64 1 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 1 eps) x) -1))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) 1)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))

simplify185.0ms (1.4%)

Algorithm
egg-herbie
Rules
1424×fma-neg
890×fma-def
638×associate-*r*
620×distribute-lft-in
610×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041313755
1138412257
2627712131
Stop Event
node limit
Counts
177 → 258
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 1))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
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(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) (*.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)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.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 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)))
(+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 1 eps)))
(+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (-.f64 1 eps) x))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))
(+.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) 1) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 (-.f64 1 eps) x)))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) 1) (/.f64 1 eps))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (/.f64 1 eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 (*.f64 (-.f64 1 eps) x) -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 (-.f64 1 eps) x) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) -1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) -1) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3)) (+.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x))) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1)) (+.f64 (*.f64 (-.f64 1 eps) x) -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (+.f64 1 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 1 eps) x) -1))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) 1)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 (+.f64 1 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps))) (-.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (/.f64 (exp.f64 (neg.f64 x)) eps)) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))) (/.f64 (neg.f64 x) eps)) (-.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (/.f64 (exp.f64 (neg.f64 x)) eps)) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (fma.f64 -1 x (fma.f64 -1 (*.f64 (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 -1/6 (exp.f64 (neg.f64 x))) (pow.f64 x 3))) (*.f64 eps eps)) (fma.f64 -1 (/.f64 x eps) x))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (/.f64 1 eps) (+.f64 1 (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))) (-.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) -1/2) (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 eps (neg.f64 eps))) (/.f64 x eps))) (-.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (/.f64 (exp.f64 (neg.f64 x)) eps)) (exp.f64 (neg.f64 x))))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 1 (-.f64 (fma.f64 eps x (*.f64 0 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (neg.f64 x) eps)))) (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps)) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))
(+.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (neg.f64 x) eps)))) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps))) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (neg.f64 x) eps)))) (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps)) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))
(+.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (neg.f64 x) eps)))) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps))) eps)) (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (-.f64 (fma.f64 eps x (*.f64 0 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (+.f64 -1 (neg.f64 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (-.f64 (fma.f64 eps x (+.f64 (*.f64 0 x) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))))
(+.f64 (fma.f64 x eps (/.f64 (*.f64 1 (-.f64 (-.f64 1 x) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))) eps)) (+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))
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x
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(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (+.f64 1 (*.f64 x (-.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(*.f64 (/.f64 (fma.f64 x (-.f64 1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1 eps) x) 3)) (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (*.f64 (-.f64 1 eps) x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 1 eps)) 3)) (/.f64 (+.f64 1 (+.f64 (*.f64 x (-.f64 1 eps)) (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 x (*.f64 x eps)) 3)) (/.f64 (+.f64 1 (*.f64 (fma.f64 x (-.f64 1 eps) 1) (-.f64 x (*.f64 x eps)))) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2) -1) (+.f64 1 (/.f64 1 eps))) (+.f64 (*.f64 (-.f64 1 eps) x) -1))
(/.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (fma.f64 (-.f64 1 eps) x -1) (+.f64 -1 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 x (*.f64 x eps)) 2)) (fma.f64 x (-.f64 1 eps) -1)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 1)
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) 3)
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) 1/3)
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 1 eps)))) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(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)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))))))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (-.f64 x (*.f64 x eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (-.f64 x (*.f64 x eps))) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.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)) (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(fma.f64 (*.f64 (-.f64 1 eps) x) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (-.f64 1 eps) 1))
(+.f64 x (*.f64 x (neg.f64 eps)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 x (*.f64 (neg.f64 eps) x))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (+.f64 1 (*.f64 x (-.f64 1 eps))) -1)
(+.f64 (-.f64 x (*.f64 x eps)) 0)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (+.f64 -1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(neg.f64 (*.f64 (-.f64 1 eps) x))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (+.f64 -1 eps))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))

localize58.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 x) (+.f64 eps -1))
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x)))
99.9%
(pow.f64 (E.f64) (fma.f64 eps x x))
97.0%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x))))
Compiler

Compiled 107 to 59 computations (44.9% saved)

series9.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
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)) (pow.f64 (E.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)) (pow.f64 (E.f64) (fma.f64 eps x x))))
1.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x))))
1.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x))))
1.0ms
eps
@0
(/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x)))

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1282×prod-diff
702×expm1-udef
702×log1p-udef
460×add-sqr-sqrt
454×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021111
1458107
26197107
Stop Event
node limit
Counts
3 → 74
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x))))
(pow.f64 (E.f64) (fma.f64 eps x x))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 eps x x)))
Outputs
(+.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (-.f64 (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (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)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (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 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (pow.f64 (E.f64) (*.f64 eps x)) (exp.f64 x))
(*.f64 (pow.f64 1 (fma.f64 eps x x)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 eps x x)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 eps x x)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(log1p.f64 (expm1.f64 (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 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.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 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 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))))))
(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)))
(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)))))

simplify153.0ms (1.2%)

Algorithm
egg-herbie
Rules
1108×times-frac
764×unswap-sqr
720×fma-neg
720×cancel-sign-sub-inv
616×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03948996
111887876
244727606
Stop Event
node limit
Counts
130 → 215
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (log.f64 (E.f64)) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) x))))) (+.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) (*.f64 (log.f64 (E.f64)) x))) (*.f64 (log.f64 (E.f64)) x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (log.f64 (E.f64)) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) x))))) (+.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x)))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (log.f64 (E.f64))))) x))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (log.f64 (E.f64))))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 (log.f64 (E.f64)) 2))))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (log.f64 (E.f64)) 2)))))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (log.f64 (E.f64))))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 (log.f64 (E.f64)) 2))))) (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 (log.f64 (E.f64)) 2))))) (*.f64 (+.f64 eps 1) (log.f64 (E.f64))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 (log.f64 (E.f64)) 3))))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (log.f64 (E.f64)) 3))))))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 (log.f64 (E.f64)) 2))))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (log.f64 (E.f64)) 2)))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(exp.f64 (*.f64 (log.f64 (E.f64)) x))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (log.f64 (E.f64)) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (log.f64 (E.f64)) x)))))
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(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 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (pow.f64 (E.f64) x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (pow.f64 (E.f64) x)))) (fma.f64 -1 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (log.f64 (E.f64)) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) x))))) (+.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 1 (/.f64 (pow.f64 (E.f64) x) (*.f64 x x))) (*.f64 1 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (E.f64) x)) (neg.f64 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))))))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (pow.f64 (E.f64) x))))) (fma.f64 -1 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (/.f64 x (exp.f64 x)) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x))))))
(+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (exp.f64 (neg.f64 x))) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) (*.f64 (log.f64 (E.f64)) x))) (*.f64 (log.f64 (E.f64)) x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (*.f64 (log.f64 (E.f64)) (*.f64 (-.f64 (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))) x))))) (+.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 (*.f64 (log.f64 (E.f64)) x)))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (E.f64)) x) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))) (/.f64 1 (*.f64 eps (exp.f64 (*.f64 (log.f64 (E.f64)) x))))))
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (*.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (pow.f64 (E.f64) x)) (neg.f64 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x))))))) (fma.f64 -1/6 (/.f64 1 (/.f64 (pow.f64 (E.f64) x) (pow.f64 x 3))) (neg.f64 (*.f64 (*.f64 x 1) (fma.f64 -1/2 (/.f64 1 (/.f64 (pow.f64 (E.f64) x) (*.f64 x x))) (*.f64 (*.f64 x 1) (-.f64 (/.f64 1 (pow.f64 (E.f64) x)) (neg.f64 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))))))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 1 (/.f64 (pow.f64 (E.f64) x) (*.f64 x x))) (*.f64 1 (*.f64 x (-.f64 (/.f64 1 (pow.f64 (E.f64) x)) (neg.f64 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))))))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (pow.f64 (E.f64) x))))))) (fma.f64 -1 (/.f64 (*.f64 x 1) (pow.f64 (E.f64) x)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) x))))
(+.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x)))) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (*.f64 (neg.f64 x) (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (/.f64 x (exp.f64 x)) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x))))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (exp.f64 (neg.f64 x))) (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (fma.f64 eps (*.f64 eps (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))))) (*.f64 x (fma.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))))) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) eps)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) eps)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) eps)) (/.f64 (/.f64 1 eps) (pow.f64 (E.f64) (fma.f64 eps x x)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (E.f64) (fma.f64 x eps x))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) eps)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))) eps)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) eps)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))) eps)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))
(+.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (E.f64) (fma.f64 x eps x))) (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))) eps)))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (neg.f64 (-.f64 1 eps)))) eps)))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (log.f64 (E.f64))))) x))
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (*.f64 1 (-.f64 1 (/.f64 1 eps)))))))
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) 2)
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(exp.f64 (*.f64 (log.f64 (E.f64)) x))
(pow.f64 (E.f64) x)
(exp.f64 x)
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1
(+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (log.f64 (E.f64)) x)))
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(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x 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 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (/.f64 (exp.f64 (fma.f64 x eps x)) (cbrt.f64 (+.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))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) 1) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x 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 (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 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x 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 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x 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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (/.f64 (exp.f64 (fma.f64 x eps x)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2)) (/.f64 (exp.f64 (fma.f64 x eps x)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x 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)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(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 x eps 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 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))

eval758.0ms (5.9%)

Compiler

Compiled 38257 to 26603 computations (30.5% saved)

prune287.0ms (2.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1015101025
Fresh426
Picked101
Done314
Total1023131036
Accurracy
100.0%
Counts
1036 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x eps x))))) 2)
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
26.7%
(/.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3) 2)
7.7%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
99.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
36.2%
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
99.3%
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
77.5%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
77.8%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
30.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
3.3%
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
77.7%
(/.f64 2 2)
23.9%
(/.f64 0 2)
Compiler

Compiled 495 to 389 computations (21.4% saved)

localize21.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
Compiler

Compiled 80 to 29 computations (63.8% saved)

series1.0ms (0%)

Counts
1 → 9
Calls

3 calls:

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

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1570×pow1
1452×add-exp-log
1450×log1p-expm1-u
1450×expm1-log1p-u
1420×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
116917
2236517
Stop Event
node limit
Counts
1 → 45
Calls
Call 1
Inputs
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
Outputs
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))

simplify71.0ms (0.5%)

Algorithm
egg-herbie
Rules
1072×fma-neg
1026×associate-/r*
964×fma-def
500×log-prod
440×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261944
13251578
212751294
356911286
Stop Event
node limit
Counts
54 → 82
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 (*.f64 -1/2 x) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (log1p.f64 x)))) (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 1 x)) (/.f64 (*.f64 x (exp.f64 x)) (*.f64 (+.f64 1 x) (/.f64 1 x))))
(-.f64 (exp.f64 (-.f64 x (log1p.f64 x))) (/.f64 (*.f64 x (exp.f64 x)) (*.f64 (+.f64 1 x) (/.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 x -1)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 x -1)) (pow.f64 (exp.f64 2) x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(*.f64 (+.f64 x 1) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 x -1)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 x -1)) (pow.f64 (exp.f64 2) x)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 x -1)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 x -1)) (pow.f64 (exp.f64 2) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 x -1)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 x -1)) (pow.f64 (exp.f64 2) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (fma.f64 (*.f64 x (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 (+.f64 x x)) (+.f64 x -1)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 x -1)) (pow.f64 (exp.f64 2) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (pow.f64 (exp.f64 x) 2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 x (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 x (exp.f64 (+.f64 (+.f64 x (log1p.f64 x)) x)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 2) x) (*.f64 x (exp.f64 (+.f64 (+.f64 x (log1p.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))
(/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (*.f64 x x) -1)) (*.f64 (exp.f64 x) (-.f64 x 1)))
(/.f64 (*.f64 (pow.f64 (exp.f64 2) x) (+.f64 (*.f64 x x) -1)) (*.f64 (exp.f64 x) (-.f64 x 1)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(+.f64 1 (-.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1))
(+.f64 1 (expm1.f64 (+.f64 x (log1p.f64 x))))
(exp.f64 (+.f64 x (log1p.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1))
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
904×log-prod
672×fma-def
604×prod-exp
596×pow-prod-down
480×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
123223
2289423
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1))
Outputs
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
27
x

simplify86.0ms (0.7%)

Algorithm
egg-herbie
Rules
1894×fma-def
698×*-commutative
658×distribute-lft-out
602×fma-neg
578×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051340
198312
2181274
3508260
41542254
53491254
64978254
76304254
Stop Event
node limit
Counts
36 → 46
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
27
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 2))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) (fma.f64 -1/8 (pow.f64 x 4) 2))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 2)
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))
(+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
-3
-2
-1
-2/3
-1/2
-1/3
0
1/9
1/6
1/3
1/2
2/3
1
4/3
3/2
2
5/2
3
4
9/2
5
6
9
27

localize35.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
99.9%
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
97.5%
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 94 to 63 computations (33% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite121.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1768×log-prod
1382×fma-def
632×expm1-udef
630×log1p-udef
592×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01774
138166
2552458
Stop Event
node limit
Counts
2 → 199
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
Outputs
(+.f64 (/.f64 (+.f64 1 x) eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (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 0 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) (/.f64 (+.f64 1 x) eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(*.f64 1 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (pow.f64 (/.f64 (+.f64 1 x) eps) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (pow.f64 (/.f64 (+.f64 1 x) eps) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (pow.f64 (/.f64 (+.f64 1 x) eps) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))) (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (pow.f64 (/.f64 (+.f64 1 x) eps) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps)))))) (*.f64 (/.f64 (+.f64 1 x) eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 2) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))) (-.f64 (/.f64 (+.f64 1 x) eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps)))))))
(pow.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 1 x) eps)) (/.f64 1 (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))) (exp.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))) (/.f64 1 (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps)))))) (exp.f64 (/.f64 (+.f64 1 x) eps))))
(log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps)))))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))) (exp.f64 (/.f64 (+.f64 1 x) eps))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))) (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps)))))
(log.f64 (/.f64 (exp.f64 (/.f64 (+.f64 1 x) eps)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))) (pow.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 1 eps) -1))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) eps))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (log.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 1 (/.f64 (+.f64 1 x) eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 1 (/.f64 (+.f64 1 x) eps) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(fma.f64 1 (/.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))))
(fma.f64 1 (/.f64 1 eps) (neg.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 1 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 1 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 1 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (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)))))
(fma.f64 1 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) (/.f64 (+.f64 1 x) eps))
(fma.f64 (+.f64 1 x) (/.f64 1 eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 (+.f64 1 x) (/.f64 1 eps) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(fma.f64 (/.f64 (+.f64 1 x) eps) 1 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 (/.f64 (+.f64 1 x) eps) 1 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(fma.f64 (/.f64 1 eps) 1 (neg.f64 (-.f64 (/.f64 x eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))))
(fma.f64 (/.f64 1 eps) 1 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (/.f64 1 eps) (+.f64 1 x) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 (/.f64 1 eps) (+.f64 1 x) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 1 x) eps))
(fma.f64 -1 (/.f64 -1 eps) (neg.f64 (-.f64 (/.f64 x eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))))
(fma.f64 -1 (/.f64 -1 eps) (neg.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 (+.f64 (/.f64 1 eps) -1) (neg.f64 (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 1 x) eps))
(fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (neg.f64 (/.f64 1 eps))) (/.f64 (+.f64 1 x) eps))
(fma.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1 (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1 (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1 (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)))))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2) (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)))))
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 x) eps)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (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)))))
(fma.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 1 x) eps))
(fma.f64 (*.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) 1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps))
(fma.f64 (*.f64 (+.f64 1 (neg.f64 (/.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 1 x) eps))
(fma.f64 (*.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (/.f64 (+.f64 1 x) eps))
(fma.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(fma.f64 (*.f64 (+.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(fma.f64 (*.f64 (+.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(+.f64 (fma.f64 eps x x) 0)
(+.f64 0 (fma.f64 eps x x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) x)
(-.f64 0 (fma.f64 eps x x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(neg.f64 (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 -1 x (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 x 1 (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))

simplify145.0ms (1.1%)

Algorithm
egg-herbie
Rules
978×times-frac
808×fma-neg
798×unswap-sqr
408×cancel-sign-sub-inv
356×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047413777
1121712599
2366212429
Stop Event
node limit
Counts
247 → 333
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2)))))))
(*.f64 -1 (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (-.f64 1 (+.f64 (exp.f64 (*.f64 -1 x)) x)) eps)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(+.f64 (/.f64 (+.f64 1 x) eps) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))))
(+.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) (fma.f64 (+.f64 1 (neg.f64 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (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 0 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (neg.f64 (/.f64 1 eps))))) (/.f64 (+.f64 1 x) eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(*.f64 1 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 2) (cbrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (-.f64 (/.f64 (+.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) eps) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 x) eps)) (pow.f64 (/.f64 (+.f64 1 x) eps) 2))))
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(fma.f64 x -1 (*.f64 eps x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 1 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x))
(-.f64 1 (*.f64 (fma.f64 (-.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)) (/.f64 1 eps)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2))))))
(+.f64 1 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x) (*.f64 (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 1 (-.f64 (*.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 2))) (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)))
(+.f64 (-.f64 1 (*.f64 (fma.f64 (-.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)) (/.f64 1 eps)) x)) (*.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2)))))))
(+.f64 1 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps))))) x) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (pow.f64 x 3) (+.f64 -1 (/.f64 1 eps)))) (*.f64 (*.f64 -1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 eps)))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 2)) (*.f64 1/6 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 3)))) (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)))
(+.f64 (-.f64 1 (*.f64 (fma.f64 (-.f64 -1 eps) (+.f64 -1 (/.f64 1 eps)) (/.f64 1 eps)) x)) (fma.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 2)) (*.f64 1/6 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 eps x x) 3)))))
(*.f64 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(neg.f64 (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 -1 (/.f64 x eps))
(/.f64 (neg.f64 x) eps)
(neg.f64 (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (-.f64 (/.f64 1 eps) (/.f64 x eps)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.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 1 (+.f64 (exp.f64 (*.f64 -1 x)) x)) eps)
(/.f64 (-.f64 (-.f64 1 (exp.f64 (neg.f64 x))) x) eps)
(/.f64 (-.f64 1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (-.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 eps) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (-.f64 (-.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) 1/2))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 (-.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) 1/2))))) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (/.f64 x eps))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (*.f64 -1 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))))))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (-.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))) (-.f64 (neg.f64 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) 1/2))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(-.f64 (+.f64 (-.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) 1/2))) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)) (/.f64 x eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 x eps)))
(-.f64 (+.f64 (/.f64 1 eps) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (/.f64 x eps)))
(+.f64 (/.f64 1 eps) (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (/.f64 1 eps) (+.f64 (/.f64 x eps) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 x eps)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 x)) eps))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 x)) eps))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (fma.f64 -1 (-.f64 1 x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps))
(-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (+.f64 -1 x)) eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
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(fma.f64 x 1 (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 -1 x (*.f64 eps x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 eps x) x)

localize23.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 x 1) (exp.f64 x))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1696×pow1
1570×log1p-expm1-u
1570×expm1-log1p-u
1568×add-exp-log
1536×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116415
2214115
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (exp.f64 x))
Outputs
(-.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
1312×fma-def
896×associate-/r*
870×associate-*r/
714×associate-*l/
576×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051191
12461085
2748845
33203825
Stop Event
node limit
Counts
43 → 54
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (*.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (*.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (*.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) 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 (pow.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))

eval357.0ms (2.8%)

Compiler

Compiled 19103 to 11361 computations (40.5% saved)

prune221.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New73511746
Fresh347
Picked101
Done325
Total74217759
Accurracy
100.0%
Counts
759 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x eps x))))) 2)
51.5%
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
26.7%
(/.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3) 2)
24.4%
(/.f64 (/.f64 x (exp.f64 x)) 2)
99.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
36.2%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
77.5%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
30.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
98.9%
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
15.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)) 2)
77.4%
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
77.8%
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
36.7%
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
13.0%
(/.f64 27 2)
77.7%
(/.f64 2 2)
23.9%
(/.f64 0 2)
1.9%
(/.f64 -3 2)
Compiler

Compiled 520 to 416 computations (20% saved)

localize20.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (exp.f64 x))
Compiler

Compiled 53 to 32 computations (39.6% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize82.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))
96.8%
(+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))
Compiler

Compiled 90 to 68 computations (24.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
962×log-prod
902×fma-def
764×pow-prod-down
494×pow-exp
466×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0962
120658
2303058
Stop Event
node limit
Counts
2 → 138
Calls
Call 1
Inputs
(+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 1)
(-.f64 (/.f64 (pow.f64 eps -2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (/.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(*.f64 1 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))
(*.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)) (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2)) (/.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (pow.f64 eps -2) (/.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) eps))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2)) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))) (neg.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))) (neg.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (pow.f64 eps -2)) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)))
(pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 eps)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (expm1.f64 (/.f64 1 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (exp.f64 (/.f64 1 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (+.f64 1 (expm1.f64 (/.f64 1 eps)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 1 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (/.f64 1 eps) 1 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 eps) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2) (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (/.f64 1 eps))
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 -1 (/.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 eps) -2) (/.f64 1 (cbrt.f64 eps)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 1 eps))
(+.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(+.f64 (+.f64 1 eps) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(+.f64 0 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) eps) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (-.f64 1 (pow.f64 eps -3))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps -3))) (*.f64 (-.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (fma.f64 eps (-.f64 eps 1) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps (-.f64 eps 1) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 eps)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(exp.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 1/3))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(fma.f64 1 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 1 (+.f64 1 eps) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 eps (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 eps) 1 (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (+.f64 1 eps) 1 (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) eps (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (cbrt.f64 (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (cbrt.f64 (+.f64 1 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))

simplify141.0ms (1.1%)

Algorithm
egg-herbie
Rules
1360×times-frac
966×associate-/l*
644×unswap-sqr
584×associate-/r*
420×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03026150
18346042
228045980
Stop Event
node limit
Counts
162 → 194
Calls
Call 1
Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 -1 eps)
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 eps (/.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 1)
(-.f64 (/.f64 (pow.f64 eps -2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (/.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(*.f64 1 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))
(*.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)) (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2)) (/.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (pow.f64 eps -2) (/.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) eps))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2)) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))) (neg.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))) (neg.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (pow.f64 eps -2)) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)))
(pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 eps)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (expm1.f64 (/.f64 1 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (exp.f64 (/.f64 1 eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (+.f64 1 (expm1.f64 (/.f64 1 eps)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 1 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (/.f64 1 eps) 1 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 eps) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2) (/.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2) (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (/.f64 1 eps))
(fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 -1 (/.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 eps) -2) (/.f64 1 (cbrt.f64 eps)) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (*.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)) (/.f64 1 eps))
(fma.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 1 eps))
(+.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(+.f64 (+.f64 1 eps) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(+.f64 0 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) eps) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (*.f64 eps (+.f64 1 (/.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (-.f64 1 (pow.f64 eps -3))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 eps (-.f64 eps 1) 1) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps -3))) (*.f64 (-.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (fma.f64 eps (-.f64 eps 1) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps 3))) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps (-.f64 eps 1) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps (-.f64 eps 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 eps)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(exp.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 1/3))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 eps) (log1p.f64 (/.f64 -1 eps)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))))
(fma.f64 1 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 1 (+.f64 1 eps) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 1 (+.f64 1 (/.f64 -1 eps)) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 eps (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 eps) 1 (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (+.f64 1 eps) 1 (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) 1 (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 -1 eps)) eps (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (cbrt.f64 (+.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2) (cbrt.f64 (+.f64 1 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(/.f64 -1 eps)
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
eps
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 eps (/.f64 1 eps))
(+.f64 eps (/.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))) 1)
(fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))
(-.f64 (/.f64 (pow.f64 eps -2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))) (/.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 2)) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) 2) (pow.f64 eps -2)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)))
(*.f64 1 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)))
(fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))
(*.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)
(fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 2)) (cbrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps)) 2)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))) (sqrt.f64 (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 1 eps))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 3) (pow.f64 eps -3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 2)) (/.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 2)) (-.f64 (/.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) 2) (pow.f64 eps -2)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)) (/.f64 -1 eps)) (pow.f64 eps -2)) (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 eps -3))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 3) (pow.f64 eps -3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1)) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) 3) (pow.f64 eps -3)) (fma.f64 (*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps))) (fma.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1) (/.f64 -1 eps)) (pow.f64 eps -2)))
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(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (+.f64 -1 (neg.f64 eps)) eps))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (-.f64 -1 eps) eps))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (+.f64 -1 (neg.f64 eps)) eps))
(fma.f64 (hypot.f64 1 (sqrt.f64 eps)) (hypot.f64 1 (sqrt.f64 eps)) (/.f64 (-.f64 -1 eps) eps))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 eps 1) (+.f64 (/.f64 -1 eps) 1))
(*.f64 (-.f64 -1 eps) (-.f64 -1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (+.f64 eps -1) 1)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 eps)) eps) (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)))
(+.f64 (/.f64 (-.f64 -1 eps) eps) (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps 1) 1)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (+.f64 eps -1) 1)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 eps)) eps) (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)))
(+.f64 (/.f64 (-.f64 -1 eps) eps) (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -1) 1)))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 eps (+.f64 (/.f64 -1 eps) 1)))
(+.f64 (+.f64 eps (/.f64 (neg.f64 eps) eps)) (/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 eps (+.f64 (/.f64 -1 eps) 1)))
(+.f64 (+.f64 eps (/.f64 (neg.f64 eps) eps)) (/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (+.f64 1 eps) (/.f64 -1 eps)))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 eps)) eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps)))
(+.f64 (/.f64 (-.f64 -1 eps) eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps)))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (*.f64 (/.f64 -1 eps) (+.f64 1 eps)))
(fma.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 1 (-.f64 1 eps)) (/.f64 (*.f64 (+.f64 eps 1) -1) eps))
(+.f64 (/.f64 (+.f64 -1 (neg.f64 eps)) eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps)))
(+.f64 (/.f64 (-.f64 -1 eps) eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 eps)))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) eps))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 eps (+.f64 (/.f64 -1 eps) 1)))
(+.f64 (+.f64 eps (/.f64 (neg.f64 eps) eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 eps (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 eps (+.f64 (/.f64 -1 eps) 1)))
(+.f64 (+.f64 eps (/.f64 (neg.f64 eps) eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))))

localize31.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 x 1) (exp.f64 x))
100.0%
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite112.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
890×log-prod
794×prod-diff
604×fma-def
572×prod-exp
558×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
119221
2265421
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (/.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) (neg.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(fma.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(fma.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)) 1)
(fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (+.f64 (*.f64 1/2 (log1p.f64 x)) (neg.f64 x))) 1)
(fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)) 1)
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))) 1)

simplify67.0ms (0.5%)

Algorithm
egg-herbie
Rules
1636×times-frac
758×associate-*r*
746×associate-*l*
502×fma-def
354×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642293
13712253
29782225
344662051
Stop Event
node limit
Counts
65 → 84
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (/.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) (neg.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(fma.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(fma.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)) 1)
(fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (+.f64 (*.f64 1/2 (log1p.f64 x)) (neg.f64 x))) 1)
(fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))) 1)
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)) 1)
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))) 1)
Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))))
(+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(+.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))) 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (/.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) (neg.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) 1/2)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3) 1/3)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))) -1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (/.f64 1 (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3)) (fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (expm1.f64 (-.f64 (log1p.f64 x) x)) 1))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) (-.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (log1p.f64 x) x))) (expm1.f64 (-.f64 (log1p.f64 x) x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 3))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1) 1))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 3))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1/3))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)) 1)
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(fma.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -2)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (exp.f64 (*.f64 2 (-.f64 (log1p.f64 x) x)))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))) 1)
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (+.f64 (*.f64 1/2 (log1p.f64 x)) (neg.f64 x))) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (-.f64 (*.f64 (log1p.f64 x) 1/2) x)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 (fma.f64 (log1p.f64 x) 1/2 (neg.f64 x))) 1)
(fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))) 1)
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x) 1)
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)) 1)
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (exp.f64 x))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)) 1)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)) 1)
(fma.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 2) x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (exp.f64 x))) 1)

localize65.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x)))
100.0%
(*.f64 (-.f64 1 eps) x)
99.9%
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
95.3%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
Compiler

Compiled 100 to 74 computations (26% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite119.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1620×log-prod
1518×fma-def
620×expm1-udef
618×log1p-udef
536×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017105
139099
2495993
Stop Event
node limit
Counts
3 → 205
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x)))
Outputs
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 0 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))))
(*.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2) (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)) (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3)) (+.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps))) (*.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) (pow.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2) (-.f64 (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 -1 eps)))) (-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))) (-.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))))
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(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))

simplify272.0ms (2.1%)

Algorithm
egg-herbie
Rules
1158×fma-neg
780×times-frac
626×associate-+r+
592×fma-def
520×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049519695
1130116701
2540016683
Stop Event
node limit
Counts
277 → 364
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) 1) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))) eps)) (+.f64 1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))) eps)) (+.f64 1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))) eps)) (+.f64 1 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))))
2
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))))))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3))))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))) (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (E.f64)) x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))) (exp.f64 (*.f64 (log.f64 (E.f64)) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))) (exp.f64 (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3))))))))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))
1
(+.f64 1 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps)
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))))
(+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))))
(exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))
(+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))
(exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x)))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))) eps) (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))) eps) (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))) eps) (exp.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2))))) (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
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(fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (+.f64 (/.f64 1 eps) -1)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)) (neg.f64 (-.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 0 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log.f64 (sqrt.f64 (exp.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 (exp.f64 x) (-.f64 1 eps)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) 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 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)))
(sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) 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))))
(exp.f64 (*.f64 (-.f64 1 eps) x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 0 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) 1) eps)
(/.f64 (expm1.f64 (*.f64 x 1)) eps)
(/.f64 (expm1.f64 x) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))) (/.f64 1 eps))
(+.f64 (/.f64 (pow.f64 (E.f64) x) eps) (-.f64 (+.f64 (+.f64 1 (pow.f64 (E.f64) x)) (neg.f64 (*.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))) (/.f64 (expm1.f64 x) eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (E.f64) x) eps) 1) (fma.f64 eps (fma.f64 1/2 (*.f64 (pow.f64 (E.f64) x) (*.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))) (+.f64 (pow.f64 (E.f64) x) (neg.f64 (*.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))))) (/.f64 1 eps))
(+.f64 (+.f64 1 (-.f64 (fma.f64 eps (-.f64 (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) 1/2)) (*.f64 x (exp.f64 x))) (exp.f64 x)) (*.f64 x (exp.f64 x)))) (/.f64 (expm1.f64 x) eps))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) eps) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x))))) (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))))) (*.f64 -1 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) x)) (*.f64 (log.f64 (E.f64)) x)))))))) (/.f64 1 eps))
(+.f64 (/.f64 (pow.f64 (E.f64) x) eps) (-.f64 (+.f64 1 (fma.f64 eps (fma.f64 1/2 (*.f64 (pow.f64 (E.f64) x) (*.f64 1 (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x 1) (pow.f64 (E.f64) x)))) (+.f64 (pow.f64 (E.f64) x) (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (pow.f64 (E.f64) x) (*.f64 1 (*.f64 x x))) (*.f64 -1/6 (*.f64 (pow.f64 (E.f64) x) (*.f64 1 (pow.f64 x 3))))) (neg.f64 (*.f64 (*.f64 x 1) (pow.f64 (E.f64) x))))))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (+.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 x) -1/6))) (*.f64 (exp.f64 x) (neg.f64 x))) (fma.f64 eps (-.f64 (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) 1/2)) (*.f64 x (exp.f64 x))) (exp.f64 x)))) (/.f64 (expm1.f64 x) eps))
(+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (*.f64 (log.f64 (E.f64)) x))) eps))) (/.f64 1 eps))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))) 1)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 1)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(log.f64 (exp.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.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) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 1 (*.f64 (-.f64 1 eps) x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 x 1)) eps))
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (-.f64 1 eps))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (*.f64 x (-.f64 1 eps))) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 x (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)))
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (*.f64 x (-.f64 1 eps)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 2 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (-.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (*.f64 x (-.f64 1 eps)))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))
(+.f64 (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 2 x) (-.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps))

eval662.0ms (5.1%)

Compiler

Compiled 24143 to 17703 computations (26.7% saved)

prune206.0ms (1.6%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New8347841
Fresh3710
Picked101
Done156
Total83919858
Accurracy
100.0%
Counts
858 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3) 2)
24.4%
(/.f64 (/.f64 x (exp.f64 x)) 2)
99.3%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
36.2%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
77.5%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
98.9%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
30.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
43.1%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (neg.f64 (*.f64 x eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
30.0%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
15.2%
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
47.7%
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 x 1) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
77.2%
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
77.4%
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
77.8%
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
36.7%
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
13.0%
(/.f64 27 2)
77.7%
(/.f64 2 2)
23.9%
(/.f64 0 2)
1.9%
(/.f64 -3 2)
Compiler

Compiled 283 to 232 computations (18% saved)

regimes83.0ms (0.6%)

Counts
42 → 1
Calls
Call 1
Inputs
(/.f64 -3 2)
(/.f64 0 2)
(/.f64 2 2)
(/.f64 27 2)
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 x 1) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)) 2)
(/.f64 (/.f64 x (exp.f64 x)) 2)
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (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 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.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 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (neg.f64 (*.f64 x eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 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 x 1) (exp.f64 x)) (neg.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 2) (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 (*.f64 2 x) (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps))) 3) 1/3) 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)) (pow.f64 (E.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)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x eps x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3))) 2)
(/.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 3) 1/3) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

4 calls:

31.0ms
eps
20.0ms
x
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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%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)
99.3%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 840 to 600 computations (28.6% saved)

regimes73.0ms (0.6%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 -3 2)
(/.f64 0 2)
(/.f64 2 2)
(/.f64 27 2)
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 x 1) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)) 2)
(/.f64 (/.f64 x (exp.f64 x)) 2)
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (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 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 0 2)
Calls

2 calls:

39.0ms
eps
25.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
79.6%3eps
Compiler

Compiled 309 to 226 computations (26.9% saved)

bsearch90.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
90.0ms
0.014509817890712647
462636.4630716947
Results
52.0ms82×body1024valid
13.0ms15×body2048valid
11.0ms28×body512valid
8.0ms52×body256infinite
3.0ms19×body256valid
Compiler

Compiled 270 to 227 computations (15.9% saved)

regimes29.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 -3 2)
(/.f64 0 2)
(/.f64 2 2)
(/.f64 27 2)
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 x 1) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)) 2)
(/.f64 (/.f64 x (exp.f64 x)) 2)
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
Outputs
(/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 0 2)
Calls

2 calls:

15.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
98.6%2x
77.8%1eps
Compiler

Compiled 140 to 110 computations (21.4% saved)

bsearch91.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
91.0ms
0.014509817890712647
462636.4630716947
Results
55.0ms76×body1024valid
11.0ms59×body256infinite
8.0ms35×body256valid
7.0ms24×body512valid
7.0msbody2048valid
Compiler

Compiled 207 to 182 computations (12.1% saved)

regimes26.0ms (0.2%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 -3 2)
(/.f64 0 2)
(/.f64 2 2)
(/.f64 27 2)
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 x 1) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x)) 2)
(/.f64 (/.f64 x (exp.f64 x)) 2)
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2)
(/.f64 0 2)
Calls

2 calls:

14.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
98.6%2x
77.7%1eps
Compiler

Compiled 118 to 93 computations (21.2% saved)

bsearch80.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
80.0ms
0.014509817890712647
462636.4630716947
Results
51.0ms96×body1024valid
9.0ms56×body256infinite
7.0msbody2048valid
6.0ms19×body512valid
4.0ms22×body256valid
Compiler

Compiled 270 to 227 computations (15.9% saved)

regimes17.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 -3 2)
(/.f64 0 2)
(/.f64 2 2)
(/.f64 27 2)
(/.f64 (-.f64 1 (*.f64 eps x)) 2)
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 -1 eps))) 2)
Outputs
(/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2)
(/.f64 0 2)
Calls

2 calls:

9.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
98.6%2x
77.7%1eps
Compiler

Compiled 49 to 40 computations (18.4% saved)

bsearch79.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
79.0ms
0.014509817890712647
462636.4630716947
Results
39.0ms68×body1024valid
12.0ms16×body2048valid
11.0ms37×body512valid
11.0ms60×body256infinite
4.0ms23×body256valid
Compiler

Compiled 198 to 173 computations (12.6% saved)

regimes15.0ms (0.1%)

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

2 calls:

9.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
98.5%2x
77.7%1eps
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch76.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
76.0ms
0.014509817890712647
462636.4630716947
Results
41.0ms82×body1024valid
11.0ms50×body256infinite
9.0ms24×body512valid
7.0ms29×body256valid
7.0msbody2048valid
Compiler

Compiled 144 to 137 computations (4.9% saved)

regimes9.0ms (0.1%)

Accuracy

Total -14.1b remaining (-29%)

Threshold costs -14.1b (-29%)

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

2 calls:

5.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
23.9%1x
23.9%1eps
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify29.0ms (0.2%)

Algorithm
egg-herbie
Rules
180×distribute-lft-neg-in
114×cancel-sign-sub
96×neg-mul-1
90×neg-sub0
76×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053256
179248
2117248
3212248
4281248
5349248
6413248
7475248
8529248
9565248
10579248
11584248
12585248
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
(/.f64 -3 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) 2) 0)
(if (<=.f64 x 360) (/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) 0)
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2) (/.f64 0 2))
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (+.f64 2 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))) 2) 0)
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 -1/2 (*.f64 x x))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0
(/.f64 -3 2)
-3/2
Compiler

Compiled 111 to 89 computations (19.8% saved)

soundness1.1s (8.3%)

Rules
1894×fma-def
1894×fma-def
1636×times-frac
1546×pow1
1500×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02289
16089
216273
355473
4173473
060624881
1162023189
2569622539
0921
118115
2229115
01223
123223
2289423
02289
16089
216273
355473
4173473
04199075
112398433
248398337
051340
198312
2181274
3508260
41542254
53491254
64978254
76304254
051340
198312
2181274
3508260
41542254
53491254
64978254
76304254
01642293
13712253
29782225
344662051
085926
1201820
2550740
32194690
45100690
57869690
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1007 to 768 computations (23.7% saved)

end57.0ms (0.4%)

Compiler

Compiled 97 to 71 computations (26.8% saved)

Profiling

Loading profile data...