NMSE Section 6.1 mentioned, A

Time bar (total: 11.3s)

analyze29.0ms (0.3%)

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

Compiled 32 to 26 computations (18.8% saved)

sample2.7s (23.4%)

Results
760.0ms1184×body1024valid
682.0ms3484×body256infinite
653.0ms2915×body256valid
219.0ms980×body256unsamplable
195.0ms534×body512valid
117.0ms121×body2048valid
10.0ms15×body1024infinite
1.0msbody512infinite
Bogosity

preprocess55.0ms (0.5%)

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)

simplify295.0ms (2.6%)

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)

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New336
Fresh101
Picked000
Done000
Total437
Accurracy
76.5%
Counts
7 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.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)
72.2%
(/.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)
76.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
66.4%
(/.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)
72.2%
(/.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)
76.5%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 170 to 128 computations (24.7% saved)

localize2.6s (22.6%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
100.0%
(exp.f64 (+.f64 eps -1))
100.0%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
99.2%
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
76.5%
(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))))
100.0%
(+.f64 1 (/.f64 -1 eps))
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)))
76.5%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
76.5%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 339 to 208 computations (38.6% saved)

series131.0ms (1.2%)

Counts
12 → 264
Calls

66 calls:

TimeVariablePointExpression
28.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
26.0ms
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))))
21.0ms
x
@-inf
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
17.0ms
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))))
9.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)

rewrite126.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
750×add-sqr-sqrt
746×pow1
742×*-un-lft-identity
700×add-exp-log
700×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033432
1738400
Stop Event
node limit
Counts
12 → 246
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(+.f64 1 (/.f64 -1 eps))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (+.f64 eps -1))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (neg.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (fma.f64 (neg.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 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.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 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.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)))) (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 (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 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (neg.f64 (*.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)))) (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 (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 (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.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)))) (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 (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 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.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)))) (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 (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))))
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(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 (-.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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(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 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(*.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 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.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 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 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))))
(-.f64 (/.f64 1 eps) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 -1 (/.f64 1 eps) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(+.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 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(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 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(*.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 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.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 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 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))))
(-.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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(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 (exp.f64 (+.f64 eps -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(*.f64 (exp.f64 -1) (exp.f64 eps))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))

simplify203.0ms (1.8%)

Algorithm
egg-herbie
Rules
1294×associate-*r*
1104×fma-def
1060×associate-*l*
564×distribute-lft-in
558×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077327288
1226924224
Stop Event
node limit
Counts
510 → 459
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)))))
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2
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1
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(/.f64 -1 eps)
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1
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1
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2
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1
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(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 (-.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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(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 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(*.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 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.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 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 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))))
(-.f64 (/.f64 1 eps) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps)))) 1)
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 -1 (/.f64 1 eps) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(+.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 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(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 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (+.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(*.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 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.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 (exp.f64 (+.f64 eps -1)) (+.f64 x x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (*.f64 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))))
(-.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 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(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 (exp.f64 (+.f64 eps -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(*.f64 (exp.f64 -1) (exp.f64 eps))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
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)))))
(-.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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
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2
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2
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1
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(-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
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(-.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1))))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
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(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (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 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(/.f64 1 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(fabs.f64 (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)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
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(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(*.f64 (exp.f64 -1) (exp.f64 eps))
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(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
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(pow.f64 (E.f64) (+.f64 eps -1))
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(pow.f64 (E.f64) (+.f64 -1 eps))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (-.f64 eps 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 eps 1))) (sqrt.f64 (-.f64 eps 1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) 2))
(fabs.f64 (exp.f64 (+.f64 -1 eps)))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(exp.f64 (+.f64 -1 eps))

eval402.0ms (3.5%)

Compiler

Compiled 20857 to 13934 computations (33.2% saved)

prune108.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5325537
Fresh000
Picked303
Done000
Total5355540
Accurracy
100.0%
Counts
540 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.8%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
55.0%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
37.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
41.8%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
55.0%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
37.7%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
Compiler

Compiled 304 to 248 computations (18.4% saved)

localize272.0ms (2.4%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 1 eps) -1)
100.0%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
100.0%
(*.f64 (+.f64 1 eps) (neg.f64 x))
77.4%
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
100.0%
(-.f64 (/.f64 1 eps) 1)
100.0%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
77.4%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
100.0%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 249 to 164 computations (34.1% saved)

series4.0ms (0%)

Counts
5 → 75
Calls

21 calls:

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

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
574×add-sqr-sqrt
568×pow1
568×*-un-lft-identity
534×add-exp-log
534×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026161
1597143
Stop Event
node limit
Counts
5 → 213
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(+.f64 (/.f64 1 eps) -1)
Outputs
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (exp.f64 x) 1) (*.f64 (exp.f64 x) x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 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 (+.f64 x 1) 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)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.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 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.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)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 1) (*.f64 (-.f64 1 (/.f64 1 eps)) 1))
(*.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (-.f64 1 (/.f64 1 eps)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 3) 1) (+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) (-.f64 1 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1) (-.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))
(pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 (/.f64 1 eps) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
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(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 1 (/.f64 1 eps) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)

simplify162.0ms (1.4%)

Algorithm
egg-herbie
Rules
1322×fma-neg
672×fma-def
670×associate-*r*
568×associate-*l*
428×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057215544
1163114466
2624814426
Stop Event
node limit
Counts
288 → 350
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 (-.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 1 eps)
-1
-1
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.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 -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 -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 -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 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.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) 1) (+.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) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.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 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
-1
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
-1
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (exp.f64 x) 1) (*.f64 (exp.f64 x) x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 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 (+.f64 x 1) 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)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(+.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.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 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.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)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)
(+.f64 (fma.f64 1 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) 1))) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) 1)))
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1) 1)
(+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 1 eps)) (log1p.f64 (/.f64 1 eps)))) 1) (*.f64 (-.f64 1 (/.f64 1 eps)) 1))
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(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (*.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (*.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (*.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (*.f64 (/.f64 1 eps) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))))
(/.f64 (-.f64 (pow.f64 eps -2) (*.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (-.f64 (/.f64 1 eps) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2) (*.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))) (-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2))
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(exp.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(fma.f64 1 (/.f64 1 eps) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 1 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 (pow.f64 eps -3) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(-.f64 (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 (/.f64 1 eps) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)) (+.f64 -1 (pow.f64 eps -3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -3))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (*.f64 -1 (/.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 1 (/.f64 1 eps) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
Outputs
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)))
(+.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 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.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 (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 (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 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.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 (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 (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 (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 1 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.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 1 (-.f64 (+.f64 (/.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 (*.f64 x x) (exp.f64 (neg.f64 x)))))))) (/.f64 1 eps)))
(+.f64 1 (+.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 1/2 (exp.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 (*.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 (pow.f64 x 3) (exp.f64 (neg.f64 x))) (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (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)))))
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(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 1 eps)))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(-.f64 (/.f64 1 eps) 1)
(+.f64 -1 (/.f64 1 eps))
(-.f64 (/.f64 (pow.f64 eps -3) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(-.f64 (/.f64 (pow.f64 eps -3) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(+.f64 (/.f64 (pow.f64 eps -3) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (/.f64 -1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(-.f64 (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(+.f64 (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))) (/.f64 1 (+.f64 -1 (/.f64 -1 eps))))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (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)) (pow.f64 eps -2)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (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)) (pow.f64 eps -2)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 (/.f64 1 eps) -1))
(+.f64 -1 (/.f64 1 eps))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (*.f64 -1 (/.f64 1 eps)))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 -1 eps))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 -1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 -1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(+.f64 -1 (/.f64 1 eps))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 eps)) 2))
(fabs.f64 (+.f64 -1 (/.f64 1 eps)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(+.f64 -1 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(+.f64 -1 (/.f64 1 eps))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 -1 (/.f64 1 eps))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(+.f64 -1 (/.f64 1 eps))

eval284.0ms (2.5%)

Compiler

Compiled 16136 to 11713 computations (27.4% saved)

prune103.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5319540
Fresh000
Picked325
Done000
Total53411545
Accurracy
100.0%
Counts
545 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.8%
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
8.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
55.0%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.1%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.5%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
35.6%
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
35.9%
(/.f64 (+.f64 2 (*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) x)) 2)
64.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
11.8%
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
8.9%
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
55.0%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.1%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.5%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
35.6%
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
35.9%
(/.f64 (+.f64 2 (*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) x)) 2)
64.7%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
Compiler

Compiled 552 to 456 computations (17.4% saved)

localize213.0ms (1.9%)

Local Accuracy

Found 9 expressions with local accuracy:

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

Compiled 252 to 156 computations (38.1% saved)

series11.0ms (0.1%)

Counts
8 → 168
Calls

42 calls:

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

rewrite83.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
036192
1822186
Stop Event
node limit
Counts
8 → 142
Calls
Call 1
Inputs
(*.f64 x (+.f64 -1 (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))
(*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) x)
(+.f64 -1 (/.f64 1 eps))
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
Outputs
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 -1 eps)))
(+.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps)))) 1)
(pow.f64 (*.f64 x (-.f64 -1 eps)) 1)
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (*.f64 x (-.f64 -1 eps))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 eps))))
(fma.f64 x -1 (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 (neg.f64 eps) x))
(fma.f64 1 (neg.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (-.f64 -1 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))) 1)
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))) 2) (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
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(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))))
(log.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (exp.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))) 2) (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))

simplify121.0ms (1.1%)

Algorithm
egg-herbie
Rules
672×unswap-sqr
620×fma-neg
522×associate-*r*
508×fma-def
500×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05298500
113807680
244107410
Stop Event
node limit
Counts
310 → 315
Calls
Call 1
Inputs
(*.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 -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))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.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 1 (+.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))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
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(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
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(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
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(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
-1
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
-1
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(-.f64 (/.f64 1 eps) 1)
(*.f64 -1/2 (/.f64 x eps))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (*.f64 1/4 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (*.f64 -1/2 (/.f64 x eps)) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) eps)) (*.f64 1/48 (/.f64 (pow.f64 x 4) eps)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps))
(*.f64 -1 (/.f64 x eps))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (*.f64 -1 (/.f64 x eps)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (*.f64 -1 (/.f64 x eps))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) eps)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (*.f64 -1 (/.f64 x eps)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps)
2
(+.f64 2 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (exp.f64 (*.f64 -1 x)))))
(+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (exp.f64 (*.f64 -1 x)))))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x))
(+.f64 0 (*.f64 x (-.f64 -1 eps)))
(+.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps)))) 1)
(pow.f64 (*.f64 x (-.f64 -1 eps)) 1)
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1 eps)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (*.f64 x (-.f64 -1 eps))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 eps))))
(fma.f64 x -1 (*.f64 x (neg.f64 eps)))
(fma.f64 -1 x (*.f64 (neg.f64 eps) x))
(fma.f64 1 (neg.f64 x) (*.f64 (neg.f64 eps) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (neg.f64 eps) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 (-.f64 -1 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) 2) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) (pow.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) (+.f64 (pow.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))) 2) (*.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) (pow.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))) 2)) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))) 1)
(log.f64 (exp.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))))
(log.f64 (/.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (exp.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))) 2) (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
Outputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2)
(-.f64 2 (fma.f64 eps x x))
(fma.f64 (-.f64 -1 eps) x 2)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2))
(fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (-.f64 2 (fma.f64 eps x x)))
(fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (fma.f64 (-.f64 -1 eps) x 2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2)))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (-.f64 2 (fma.f64 eps x x))))
(fma.f64 -1/6 (pow.f64 (fma.f64 eps x x) 3) (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (fma.f64 (-.f64 -1 eps) x 2)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x))) 1))
(+.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) 1)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 1/2 (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.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))))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 eps 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))) (fma.f64 (neg.f64 eps) (*.f64 x (exp.f64 (neg.f64 x))) 1))
(+.f64 1 (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 (/.f64 (*.f64 eps eps) (exp.f64 x)) (*.f64 1/2 (*.f64 x x)) (exp.f64 (neg.f64 x)))) (*.f64 x (/.f64 eps (exp.f64 x)))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
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(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
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(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
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(fma.f64 x (neg.f64 eps) (/.f64 x eps))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (*.f64 (+.f64 1 eps) x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (*.f64 (+.f64 1 eps) x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (fma.f64 eps x x) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (*.f64 (+.f64 1 eps) x) (+.f64 -1 (/.f64 1 eps)))
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(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))) 2) (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))) 1))
(exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (neg.f64 (neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (exp.f64 (-.f64 (log1p.f64 x) x))))
(+.f64 1 (fma.f64 x (*.f64 x -1/2) (exp.f64 (-.f64 (log1p.f64 x) x))))

eval134.0ms (1.2%)

Compiler

Compiled 7324 to 4374 computations (40.3% saved)

prune78.0ms (0.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New35514369
Fresh314
Picked505
Done022
Total36317380
Accurracy
100.0%
Counts
380 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.1%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
5.1%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 2)
40.1%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
48.8%
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2) 2)
42.9%
(/.f64 (+.f64 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x (neg.f64 x)))) 2)
27.4%
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
35.9%
(/.f64 (+.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))) 2)
49.2%
(/.f64 (+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))) 2)
48.6%
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
65.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
56.6%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
2.6%
(/.f64 (*.f64 -1/2 x) eps)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
2.6%
(/.f64 -1/2 (/.f64 eps x))
55.0%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.1%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
5.1%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 2)
40.1%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
48.8%
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2) 2)
42.9%
(/.f64 (+.f64 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x (neg.f64 x)))) 2)
27.4%
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
35.9%
(/.f64 (+.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))) 2)
49.2%
(/.f64 (+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))) 2)
48.6%
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
65.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
56.6%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
2.6%
(/.f64 (*.f64 -1/2 x) eps)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
2.6%
(/.f64 -1/2 (/.f64 eps x))
Compiler

Compiled 764 to 596 computations (22% saved)

localize167.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
99.0%
(/.f64 -1/2 (/.f64 eps x))
100.0%
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps))))
Compiler

Compiled 124 to 46 computations (62.9% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite92.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1492×log-prod
874×fma-def
536×expm1-udef
534×log1p-udef
372×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01753
137245
2538045
Stop Event
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps))))
(/.f64 -1/2 (/.f64 eps x))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x eps))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (*.f64 x eps)))) (/.f64 (pow.f64 (exp.f64 (*.f64 x eps)) 2) (-.f64 1 (exp.f64 (*.f64 x eps)))))
(*.f64 1 (+.f64 1 (exp.f64 (*.f64 x eps))))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 3)) (/.f64 1 (fma.f64 (exp.f64 (*.f64 x eps)) (expm1.f64 (*.f64 x eps)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (*.f64 x eps)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 (*.f64 x eps)) (expm1.f64 (*.f64 x eps)) 1) (+.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (*.f64 x eps))) (-.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 3)) (fma.f64 (exp.f64 (*.f64 x eps)) (expm1.f64 (*.f64 x eps)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 3)) (+.f64 (pow.f64 (exp.f64 (*.f64 x eps)) 2) (-.f64 1 (exp.f64 (*.f64 x eps)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 2)) (-.f64 1 (exp.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 3))) (neg.f64 (fma.f64 (exp.f64 (*.f64 x eps)) (expm1.f64 (*.f64 x eps)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x eps)) 2))) (neg.f64 (-.f64 1 (exp.f64 (*.f64 x eps)))))
(/.f64 (expm1.f64 (fma.f64 x eps (*.f64 x eps))) (expm1.f64 (*.f64 x eps)))
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (*.f64 x eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 x eps))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (*.f64 x eps)))))
(fma.f64 1 (exp.f64 (*.f64 x eps)) 1)
(fma.f64 (exp.f64 (*.f64 x eps)) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 x eps))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x eps))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x eps))) 2) (cbrt.f64 (exp.f64 (*.f64 x eps))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 x eps))) (sqrt.f64 (exp.f64 (*.f64 x eps))) 1)
(+.f64 0 (*.f64 -1/2 (/.f64 x eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 x eps)))) 1)
(*.f64 1 (*.f64 -1/2 (/.f64 x eps)))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 (*.f64 -1/2 (/.f64 x eps)) 1)
(*.f64 (/.f64 x eps) -1/2)
(*.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x eps))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 x eps))))
(*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x eps))) (sqrt.f64 (*.f64 -1/2 (/.f64 x eps))))
(*.f64 1/2 (/.f64 x eps))
(*.f64 (/.f64 -1/2 eps) x)
(*.f64 (*.f64 -1/2 x) (/.f64 1 eps))
(*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps)))
(*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)))
(*.f64 (*.f64 (/.f64 -1/2 eps) 1) x)
(*.f64 (*.f64 (/.f64 -1/2 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 -1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 -1/2 (/.f64 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x eps))) 2)
(pow.f64 (/.f64 eps (*.f64 -1/2 x)) -1)
(sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 x eps))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 x eps))))
(-.f64 (*.f64 x eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x eps (/.f64 x eps)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (fma.f64 x eps (/.f64 x eps))) (/.f64 (pow.f64 (/.f64 x eps) 2) (fma.f64 x eps (/.f64 x eps))))
(*.f64 1 (fma.f64 x eps (/.f64 x eps)))
(*.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))))
(*.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))))
(*.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))))
(*.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))))
(*.f64 (fma.f64 x eps (/.f64 x eps)) 1)
(*.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2)) (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3))))
(/.f64 1 (/.f64 (fma.f64 x eps (/.f64 x eps)) (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)))
(/.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (fma.f64 x eps (/.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (+.f64 (pow.f64 (/.f64 x eps) 2) (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (*.f64 eps (/.f64 x eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3))) (neg.f64 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2)) (neg.f64 (fma.f64 x eps (/.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 x eps) 2) (pow.f64 (*.f64 x eps) 2)) (fma.f64 x eps (/.f64 x eps)))
(pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 3)
(pow.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) 2)
(pow.f64 (fma.f64 x eps (/.f64 x eps)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2))
(log.f64 (exp.f64 (fma.f64 x eps (/.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps (/.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (/.f64 x eps))))
(log.f64 (*.f64 (exp.f64 (*.f64 x eps)) (+.f64 1 (expm1.f64 (/.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x eps))) (exp.f64 (/.f64 x eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x eps))) (+.f64 1 (expm1.f64 (/.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x eps)) (+.f64 1 (expm1.f64 (*.f64 x eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x eps))) (exp.f64 (*.f64 x eps))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x eps))) (+.f64 1 (expm1.f64 (*.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x eps)) (+.f64 1 (expm1.f64 (/.f64 x eps)))))
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x eps))) (+.f64 1 (expm1.f64 (/.f64 x eps)))))
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(log.f64 (/.f64 (exp.f64 (/.f64 x eps)) (+.f64 1 (expm1.f64 (*.f64 x eps)))))
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(exp.f64 (log.f64 (fma.f64 x eps (/.f64 x eps))))
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(fma.f64 (*.f64 x eps) 1 (/.f64 x eps))
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(fma.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (/.f64 x eps))
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(fma.f64 (cbrt.f64 (/.f64 x eps)) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (cbrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (/.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (/.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 eps)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (/.f64 1 eps) x (*.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 -1 (*.f64 x eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 -1 (/.f64 x eps) (*.f64 x eps))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 eps eps))) (/.f64 x (cbrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) eps) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 x) (sqrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) eps) (*.f64 x eps))
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(fma.f64 (/.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 x) eps) (*.f64 x eps))
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(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x eps))
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(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (/.f64 x eps))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (/.f64 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))

simplify100.0ms (0.9%)

Algorithm
egg-herbie
Rules
832×associate-*r/
796×distribute-lft-in
788×distribute-rgt-in
602×cancel-sign-sub-inv
390×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04267386
19837058
228846640
Stop Event
node limit
Counts
288 → 293
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1 (*.f64 eps x)) 2)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
2
(+.f64 (*.f64 -1 (*.f64 eps x)) 2)
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(fma.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (/.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (cbrt.f64 (/.f64 x eps)) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (cbrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (/.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (/.f64 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 eps)) (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (/.f64 x eps))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) (/.f64 1 (fma.f64 (/.f64 x eps) (fma.f64 x eps (/.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (/.f64 1 eps) x (*.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (/.f64 x eps))
(fma.f64 -1 (*.f64 x eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 -1 (*.f64 x eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 -1 (/.f64 x eps) (*.f64 x eps))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (fma.f64 x eps (/.f64 x eps)) 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 eps eps))) (/.f64 x (cbrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) eps) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 (/.f64 x eps)) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 x) (sqrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) eps) (*.f64 x eps))
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 eps eps))) (/.f64 (sqrt.f64 x) (cbrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (cbrt.f64 x) eps) (*.f64 x eps))
(fma.f64 (/.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 x) eps) (*.f64 x eps))
(fma.f64 (/.f64 -1 (cbrt.f64 (*.f64 eps eps))) (/.f64 x (cbrt.f64 eps)) (*.f64 x eps))
(fma.f64 (/.f64 -1 (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) (*.f64 x eps))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (+.f64 (/.f64 x eps) (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (/.f64 x eps))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (/.f64 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
Outputs
2
(+.f64 (*.f64 -1 (*.f64 eps x)) 2)
(fma.f64 -1 (*.f64 eps x) 2)
(-.f64 2 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 2) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 2) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 2) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))))
(+.f64 (-.f64 2 (*.f64 eps x)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3))))
(+.f64 2 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 1/2 (*.f64 (*.f64 eps x) -1/6))) (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
2
(+.f64 (*.f64 -1 (*.f64 eps x)) 2)
(fma.f64 -1 (*.f64 eps x) 2)
(-.f64 2 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 2) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 2) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 2) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))))
(+.f64 (-.f64 2 (*.f64 eps x)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3))))
(+.f64 2 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 1/2 (*.f64 (*.f64 eps x) -1/6))) (*.f64 eps x)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps)))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
(*.f64 x (/.f64 -1/2 eps))
(*.f64 -1/2 (/.f64 x eps))
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(+.f64 (fma.f64 eps x (/.f64 x eps)) (*.f64 (/.f64 x eps) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (/.f64 1 eps)) x (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (*.f64 eps x))) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (/.f64 -1 eps) x (/.f64 x eps)))
(+.f64 (-.f64 (*.f64 eps x) (/.f64 x eps)) (*.f64 (/.f64 x eps) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x eps))) (pow.f64 (cbrt.f64 (/.f64 x eps)) 2) (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (*.f64 eps x))) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (/.f64 -1 eps) x (/.f64 x eps)))
(+.f64 (-.f64 (*.f64 eps x) (/.f64 x eps)) (*.f64 (/.f64 x eps) 0))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) (/.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (*.f64 eps x))) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (/.f64 x eps))) (fma.f64 (/.f64 -1 eps) x (/.f64 x eps)))
(+.f64 (-.f64 (*.f64 eps x) (/.f64 x eps)) (*.f64 (/.f64 x eps) 0))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 x eps))
(fma.f64 eps x (/.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x eps))
(fma.f64 eps x (/.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (/.f64 x eps))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x (cbrt.f64 eps)) (/.f64 x eps))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x (cbrt.f64 eps)) (*.f64 (cbrt.f64 (/.f64 x eps)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2))))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x (cbrt.f64 eps)) (/.f64 (neg.f64 x) eps))
(-.f64 (*.f64 x (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))) (/.f64 x eps))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x (cbrt.f64 eps)) (*.f64 (cbrt.f64 (/.f64 x eps)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2))))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 x (cbrt.f64 eps)) (/.f64 (neg.f64 x) eps))
(-.f64 (*.f64 x (*.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))) (/.f64 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (/.f64 x eps))
(fma.f64 eps x (/.f64 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) 2)) (cbrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))
(fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps))))
(-.f64 (*.f64 eps x) (/.f64 x eps))

eval76.0ms (0.7%)

Compiler

Compiled 5378 to 2363 computations (56.1% saved)

prune60.0ms (0.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New2903293
Fresh2810
Picked145
Done022
Total29317310
Accurracy
100.0%
Counts
310 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.1%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
5.1%
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 2)
40.1%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
49.2%
(/.f64 (-.f64 2 (*.f64 eps x)) 2)
42.9%
(/.f64 (+.f64 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x (neg.f64 x)))) 2)
27.4%
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
48.6%
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
60.6%
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
65.0%
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
56.6%
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
2.6%
(/.f64 (*.f64 -1/2 x) eps)
41.0%
(/.f64 2 2)
16.8%
(/.f64 0 2)
2.6%
(/.f64 -1/2 (/.f64 eps x))
2.6%
(*.f64 (/.f64 -1/2 eps) x)
2.5%
(*.f64 1/2 (/.f64 x eps))
Compiler

Compiled 623 to 447 computations (28.3% saved)

regimes124.0ms (1.1%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 (/.f64 -1/2 eps) x)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (-.f64 2 (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))) 2)
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) x)) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x (neg.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)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (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 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Calls

4 calls:

59.0ms
eps
41.0ms
x
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
AccuracySegmentsBranch
94.9%3x
100.0%3eps
100.0%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)
100.0%2(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 513 to 361 computations (29.6% saved)

regimes135.0ms (1.2%)

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

2 calls:

84.0ms
eps
42.0ms
x
Results
AccuracySegmentsBranch
79.9%3x
79.8%3eps
Compiler

Compiled 345 to 236 computations (31.6% saved)

regimes52.0ms (0.5%)

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

1 calls:

44.0ms
x
Results
AccuracySegmentsBranch
79.9%3x
Compiler

Compiled 324 to 224 computations (30.9% saved)

regimes116.0ms (1%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(*.f64 1/2 (/.f64 x eps))
(*.f64 (/.f64 -1/2 eps) x)
(/.f64 -1/2 (/.f64 eps x))
(/.f64 (*.f64 -1/2 x) eps)
(/.f64 (+.f64 2 (/.f64 x eps)) 2)
(/.f64 (-.f64 2 (*.f64 eps x)) 2)
(/.f64 (-.f64 2 (*.f64 x x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2)
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)) 2) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))) 2)
(/.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)) x)) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)))) 2)
(/.f64 (+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 x (neg.f64 x)))) 2)
Outputs
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2)
(/.f64 0 2)
Calls

2 calls:

58.0ms
eps
50.0ms
x
Results
AccuracySegmentsBranch
72.1%5eps
79.6%3x
Compiler

Compiled 310 to 216 computations (30.3% saved)

regimes22.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
70.7%2x
Compiler

Compiled 155 to 107 computations (31% saved)

regimes59.0ms (0.5%)

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

2 calls:

40.0ms
eps
15.0ms
x
Results
AccuracySegmentsBranch
56.3%5eps
59.7%2x
Compiler

Compiled 144 to 100 computations (30.6% saved)

regimes13.0ms (0.1%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
58.2%2x
Compiler

Compiled 52 to 36 computations (30.8% saved)

regimes12.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
55.1%2x
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
16.8%1eps
16.8%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 36 to 29 computations (19.4% saved)

bsearch98.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
8.120395542724988e-17
1.303435549757816e-10
59.0ms
-2.778453642786605e+19
-10.748351947638774
Results
47.0ms194×body256infinite
17.0ms37×body1024valid
10.0ms15×body1024infinite
7.0ms25×body512valid
3.0ms11×body512infinite
3.0ms18×body256valid
3.0ms22×body256unsamplable
3.0msbody2048valid
Compiler

Compiled 553 to 444 computations (19.7% saved)

bsearch127.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
8.120395542724988e-17
1.303435549757816e-10
89.0ms
-2.778453642786605e+19
-10.748351947638774
Results
56.0ms26×body256valid
31.0ms193×body256infinite
18.0ms40×body1024valid
8.0ms18×body1024infinite
4.0ms14×body512valid
3.0ms10×body512infinite
2.0msbody2048valid
1.0msbody256unsamplable
Compiler

Compiled 544 to 453 computations (16.7% saved)

bsearch74.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
0.005544898186939716
32980225.285836935
42.0ms
-2.778453642786605e+19
-10.748351947638774
Results
34.0ms190×body256infinite
12.0ms75×body256valid
10.0ms24×body1024infinite
6.0ms14×body1024valid
2.0msbody512valid
2.0msbody512infinite
1.0msbody256unsamplable
1.0msbody2048valid
Compiler

Compiled 436 to 379 computations (13.1% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
0.005544898186939716
32980225.285836935
Results
14.0ms90×body256infinite
9.0ms21×body1024valid
8.0ms13×body512valid
6.0ms34×body256valid
1.0msbody2048valid
Compiler

Compiled 196 to 179 computations (8.7% saved)

bsearch58.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
0.005544898186939716
32980225.285836935
Results
20.0ms11×body512valid
16.0ms37×body1024valid
15.0ms95×body256infinite
3.0msbody2048valid
2.0ms13×body256valid
Compiler

Compiled 216 to 189 computations (12.5% saved)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
0.0001923799442897372
0.005544898186939716
Results
16.0ms64×body256infinite
12.0ms28×body1024valid
2.0msbody512valid
2.0ms11×body256valid
1.0msbody2048valid
Compiler

Compiled 148 to 127 computations (14.2% saved)

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
0.005544898186939716
32980225.285836935
Results
21.0ms96×body256infinite
9.0ms20×body1024valid
6.0ms35×body256valid
2.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
146×distribute-lft-neg-in
124×neg-mul-1
118×unsub-neg
88×distribute-neg-in
80×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079649
1132637
2207621
3308621
4413621
5542621
6603621
7640621
8659621
9669621
10672621
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.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))))) 0) (/.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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1880) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 0 2)))
(if (<=.f64 x 500) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 25) (/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2) (/.f64 0 2))
(if (<=.f64 x 3170534137668829/576460752303423488) (/.f64 (-.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))
(if (<=.f64 x 495) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(if (<=.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))))) 0) (/.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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2))
(if (<=.f64 (-.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))))) 0) (/.f64 (-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.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))))) 0) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(if (<=.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 0) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1 (/.f64 -1 eps)))) 2))
(if (<=.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 1 (/.f64 1 eps)))) 0) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 1 (/.f64 1 eps)))) 2))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2) (/.f64 (+.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (-.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (neg.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 5029131409596857/38685626227668133590597632) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2) (/.f64 (+.f64 (/.f64 (+.f64 1 x) (exp.f64 x)) (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))) 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1880) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) (/.f64 0 2)))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1880) (/.f64 (+.f64 1 (exp.f64 (*.f64 x (neg.f64 eps)))) 2) 0))
(if (<=.f64 x -720) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (if (<=.f64 x 1880) (/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2) 0))
(if (<=.f64 x 500) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 500) (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2) 0)
(if (<=.f64 x 25) (/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2) (/.f64 0 2))
(if (<=.f64 x 25) (/.f64 (+.f64 2 (*.f64 x (-.f64 eps 1))) 2) 0)
(if (<=.f64 x 25) (/.f64 (+.f64 (*.f64 x (+.f64 eps -1)) 2) 2) 0)
(if (<=.f64 x 3170534137668829/576460752303423488) (/.f64 (-.f64 2 (*.f64 eps x)) 2) (/.f64 0 2))
(if (<=.f64 x 3170534137668829/576460752303423488) (/.f64 (-.f64 2 (*.f64 eps x)) 2) 0)
(if (<=.f64 x 495) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 495) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 240 to 183 computations (23.8% saved)

soundness1.5s (13.5%)

Rules
1500×times-frac
1500×times-frac
1322×fma-neg
1322×fma-neg
1294×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
355473
4173473
077327288
1226924224
026161
1597143
02289
16089
216273
355473
4173473
077327288
1226924224
057215544
1163114466
2624814426
05298500
113807680
244107410
04267386
19837058
228846640
057215544
1163114466
2624814426
05298500
113807680
244107410
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 988 to 780 computations (21.1% saved)

end128.0ms (1.1%)

Compiler

Compiled 510 to 358 computations (29.8% saved)

Profiling

Loading profile data...