Details

Time bar (total: 15.6s)

analyze217.0ms (1.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%87.4%0.1%12.5%0%0%6
25.5%20.3%59.3%0.1%18.7%0%1.6%7
29%21.1%51.5%0.1%25%0%2.3%8
53.8%35.5%30.4%0.1%28.1%0%5.9%9
57.7%35.7%26.1%0.1%31.2%0%6.8%10
73.5%42.8%15.4%0.1%32.8%0%8.9%11
76.5%42.9%13.2%0.1%34.3%0%9.5%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample3.0s (19.6%)

Results
1.2s1988×body1024valid
1.0s4980×body256valid
382.0ms1061×body512valid
238.0ms227×body2048valid
83.0ms509×body256infinite
66.0ms414×body256unsamplable
8.0ms18×body1024infinite
2.0msbody512infinite
Bogosity

preprocess41.0ms (0.3%)

Algorithm
egg-herbie
Rules
1380×associate-*l/
1008×associate-/l/
946×*-commutative
766×associate-/r/
656×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037178
1106178
2302146
3950146
43341146
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 (*.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) (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 (*.f64 (neg.f64 (-.f64 1 x)) eps))) (*.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 (neg.f64 (-.f64 1 x))) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 x 1)) eps) (/.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)

simplify39.0ms (0.3%)

Algorithm
egg-herbie
Rules
1196×associate-/l*
1030×associate-*l*
1026×times-frac
872×associate-/r*
816×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
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 x (+.f64 (neg.f64 eps) -1))))) 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 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New336
Fresh101
Picked000
Done000
Total437
Error
29.6b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
42.2b
(/.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 x (+.f64 (neg.f64 eps) -1))))) 2)
29.6b
(/.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)
29.7b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
Compiler

Compiled 89 to 68 computations (23.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x (neg.f64 x)))
0.0b
(exp.f64 (fma.f64 eps x x))
0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
5.4b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 104 to 49 computations (52.9% saved)

series9.0ms (0.1%)

Counts
4 → 68
Calls

24 calls:

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

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1722×associate-*l/
1232×associate-/r*
396×add-sqr-sqrt
390×pow1
390×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019124
1396116
25280116
Stop Event
node limit
Counts
4 → 101
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) 1) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) 1) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))))
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simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
1204×associate-*r/
1150×+-commutative
792×associate--l+
758×associate--r+
746×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03909187
111688539
252198315
Stop Event
node limit
Counts
169 → 228
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x))))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x))))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x))))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x))))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (*.f64 -1 x))))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
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(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
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(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
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(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
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(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
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1
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(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
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(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (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)))) (exp.f64 (neg.f64 x))))
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1
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(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
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(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) 1) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) 1) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
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(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) -1) (/.f64 -1 (exp.f64 (fma.f64 eps x x))))
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(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(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 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(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 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x)))) (/.f64 x (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2))) (/.f64 x (exp.f64 x))))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (/.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 x))))) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x))))))) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (*.f64 x x) -1/2) (exp.f64 x)))) (/.f64 x (exp.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2)))))) (fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2))) (/.f64 x (exp.f64 x)))))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(fma.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (neg.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))) x 2)
(fma.f64 x (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 eps -1) (neg.f64 (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (+.f64 1 (/.f64 1 eps)))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))
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1
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1
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(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))
(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 (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 (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 (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)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(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)))
(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 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
2.7b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series14.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
2.0ms
x
@0
(*.f64 (+.f64 1 eps) (neg.f64 x))
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite178.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1438×associate-/r*
586×associate-+l+
454×associate-+r+
450×add-sqr-sqrt
444×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020156
1443130
26105130
Stop Event
node limit
Counts
4 → 352
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 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
Outputs
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simplify285.0ms (1.8%)

Algorithm
egg-herbie
Rules
978×associate-+r+
954×+-commutative
782×associate-*r*
774×associate-+l+
604×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092840360
1251235840
Stop Event
node limit
Counts
448 → 587
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
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(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
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(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (cbrt.f64 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)))) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))) (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))) (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (cbrt.f64 (-.f64 1 eps))) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)))) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))) (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))) (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
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))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 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)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (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)))))
(+.f64 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))) (*.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
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2
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(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps)))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))))) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2) (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (+.f64 1 (pow.f64 eps -3)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(*.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 -1 (/.f64 1 eps)) -1))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (+.f64 1 (*.f64 -1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps)))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))))) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2) (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps)))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 eps))))) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 eps))) 2) (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (+.f64 1 (pow.f64 eps -3)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))
0.0b
(*.f64 x (+.f64 (neg.f64 eps) -1))
0.5b
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
2.7b
(-.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 x (+.f64 (neg.f64 eps) -1)))))
Compiler

Compiled 137 to 93 computations (32.1% saved)

series80.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
37.0ms
eps
@inf
(-.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 x (+.f64 (neg.f64 eps) -1)))))
22.0ms
eps
@inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
8.0ms
eps
@-inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
6.0ms
eps
@-inf
(-.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 x (+.f64 (neg.f64 eps) -1)))))
2.0ms
eps
@0
(-.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 x (+.f64 (neg.f64 eps) -1)))))

rewrite208.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
576×associate-+l+
490×add-sqr-sqrt
482×associate-+r+
482×*-un-lft-identity
480×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021160
1477124
26893124
Stop Event
node limit
Counts
4 → 234
Calls
Call 1
Inputs
(-.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 x (+.f64 (neg.f64 eps) -1)))))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(*.f64 x (+.f64 (neg.f64 eps) -1))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 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simplify263.0ms (1.7%)

Algorithm
egg-herbie
Rules
1356×fma-def
1274×associate--r+
952×associate-*r*
808×+-commutative
768×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069328498
1195921496
2777620856
Stop Event
node limit
Counts
330 → 437
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))) (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3) (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2) (-.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3) (pow.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) (-.f64 (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 1 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))) 1)
(*.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(*.f64 (pow.f64 1 x) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) x))
(/.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (*.f64 (+.f64 1 eps) x))
(exp.f64 (*.f64 (*.f64 (+.f64 1 eps) x) 1))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 (*.f64 eps x) 1))
(+.f64 (fma.f64 eps x x) 0)
(+.f64 0 (fma.f64 eps x x))
(+.f64 (*.f64 eps x) x)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 0 (*.f64 eps x)) x)
(+.f64 (*.f64 (*.f64 eps x) 1) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) x)
(+.f64 (+.f64 (*.f64 (*.f64 eps x) 1) 0) x)
(-.f64 (*.f64 eps x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(-.f64 (+.f64 0 (*.f64 eps x)) x)
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (fma.f64 eps x x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) x))))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) -1) (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1)
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
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2
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(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 -1 (+.f64 (/.f64 1 eps) (+.f64 1 (/.f64 1 eps)))) (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (/.f64 1 eps) (-.f64 0 (/.f64 1 eps))) (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))))
(*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (log1p.f64 (/.f64 1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))) 1)
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1)
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 1 x) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps 1))) (*.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 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 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 x 2)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 3))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (+.f64 1 eps) x))
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (*.f64 (+.f64 1 eps) x) 1))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (fma.f64 x eps x))
(+.f64 x (*.f64 eps x))
(fma.f64 x eps x)
(+.f64 x (*.f64 (*.f64 eps x) 1))
(fma.f64 x eps x)
(+.f64 (fma.f64 eps x x) 0)
(fma.f64 x eps x)
(+.f64 0 (fma.f64 eps x x))
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(fma.f64 x eps x)
(+.f64 (+.f64 0 (*.f64 eps x)) x)
(fma.f64 x eps x)
(+.f64 (*.f64 (*.f64 eps x) 1) x)
(fma.f64 x eps x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(fma.f64 x eps x)
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) x)
(fma.f64 x eps x)
(+.f64 (+.f64 (*.f64 (*.f64 eps x) 1) 0) x)
(fma.f64 x eps x)
(-.f64 (*.f64 eps x) x)
(-.f64 (*.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(fma.f64 x eps x)
(-.f64 (+.f64 0 (*.f64 eps x)) x)
(-.f64 (*.f64 x eps) x)
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps -1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (fma.f64 eps x x))
(/.f64 (*.f64 (fma.f64 x eps x) (-.f64 (*.f64 x eps) x)) (fma.f64 x eps x))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (fma.f64 x eps x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 (*.f64 x eps) (*.f64 x eps) (*.f64 x (-.f64 x (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x (-.f64 x (*.f64 x eps)) (*.f64 x (*.f64 eps (*.f64 x eps)))))
(pow.f64 (fma.f64 eps x x) 1)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(fma.f64 x eps x)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fabs.f64 (fma.f64 x eps x))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 x eps x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 x eps x)
(+.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) -1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) -1) (*.f64 (exp.f64 (fma.f64 eps x x)) (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))) 1)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (exp.f64 (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps))) (+.f64 -1 (pow.f64 eps -2)))
(/.f64 (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (exp.f64 (fma.f64 x eps x)) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (exp.f64 (fma.f64 x eps x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps))) (+.f64 -1 (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (exp.f64 (fma.f64 x eps x)) (/.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 1)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))) 3)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3) 1/3)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) 2))
(fabs.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) 3))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(exp.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 (+.f64 (fma.f64 eps x x) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))

eval1.1s (7.3%)

Compiler

Compiled 61190 to 41156 computations (32.7% saved)

prune463.0ms (3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1238141252
Fresh000
Picked101
Done202
Total1241141255
Error
0.0b
Counts
1255 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
47.3b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.7b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
0.7b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
47.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (-.f64 x (*.f64 x eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
47.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
46.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
32.5b
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
49.8b
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) 2)
17.6b
(/.f64 2 2)
46.7b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
49.6b
(*.f64 1/2 (pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3))
17.6b
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
45.5b
(*.f64 1/2 0)
Compiler

Compiled 658 to 518 computations (21.3% saved)

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Compiler

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1562×add-sqr-sqrt
1546×*-un-lft-identity
1440×add-cube-cbrt
1422×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118115
2227215
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))))

simplify62.0ms (0.4%)

Algorithm
egg-herbie
Rules
1132×associate-+r+
1018×fma-def
928×*-commutative
734×associate-+l+
650×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089824
1211784
2588770
32579720
46072720
Stop Event
node limit
Counts
38 → 57
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.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) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(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)
(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))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 (exp.f64 x) (fma.f64 x x x) (exp.f64 x)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))
(*.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (exp.f64 x) (/.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 (exp.f64 x) (fma.f64 x x x) (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)
(exp.f64 (+.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x))))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log1p.f64 x)) 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))
(exp.f64 (+.f64 x (log1p.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
6.1b
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 91 to 64 computations (29.7% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 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
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
eps
@inf
(-.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 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.0ms
eps
@-inf
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite134.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
962×associate-/r*
610×associate-/r/
492×associate-/l*
442×associate-+l+
364×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016117
1356105
24892105
Stop Event
node limit
Counts
3 → 218
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
Outputs
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simplify220.0ms (1.4%)

Algorithm
egg-herbie
Rules
998×associate-*r*
886×associate-+l+
750×+-commutative
656×associate-*l*
646×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063223368
1180721656
Stop Event
node limit
Counts
290 → 372
Calls
Call 1
Inputs
(/.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 (exp.f64 (*.f64 -1 x)) eps)
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(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
Outputs
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 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 1 eps) (-.f64 1 (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 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 1 eps) (-.f64 (+.f64 1 (*.f64 (neg.f64 eps) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 1 eps) (-.f64 (-.f64 1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 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 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x))))))
(+.f64 (-.f64 (-.f64 1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
(-.f64 (+.f64 (/.f64 1 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
(-.f64 (+.f64 (/.f64 1 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
(-.f64 (+.f64 (/.f64 1 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
(-.f64 (+.f64 (/.f64 1 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 1 eps) (-.f64 1 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) eps) (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (*.f64 (*.f64 x (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 2 (*.f64 x (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))))
(+.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 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 1 eps) 2))) (+.f64 1/2 (*.f64 -1/2 (/.f64 1 eps))))))
(+.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)))))))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 -1 (/.f64 1 eps))) (+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1 (/.f64 1 eps)))) (+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 1 eps) 2))) (+.f64 1/2 (*.f64 -1/2 (/.f64 1 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 -1 (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))))))))
(fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 -1 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))))
(+.f64 (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.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 (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)))))))))
(fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))) (-.f64 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(neg.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x))
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(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))) (+.f64 -1 (pow.f64 eps -2))) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))) (*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -3))) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3) 1/3)
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps))) 2))
(fabs.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(exp.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (+.f64 x (+.f64 (*.f64 x eps) (log.f64 (+.f64 -1 (/.f64 1 eps))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (*.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(exp.f64 (+.f64 x (+.f64 (*.f64 x eps) (log.f64 (+.f64 -1 (/.f64 1 eps))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
(pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))
(fabs.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (/.f64 1 eps))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
0.0b
(exp.f64 (fma.f64 x eps x))
Compiler

Compiled 62 to 33 computations (46.8% saved)

series3.0ms (0%)

Counts
3 → 44
Calls

15 calls:

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

rewrite106.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1038×*-commutative
846×unswap-sqr
784×associate-*r/
614×swap-sqr
526×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01257
124255
2296355
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(exp.f64 (fma.f64 x eps x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(+.f64 1 (/.f64 1 eps))
Outputs
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simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
1364×associate-+l+
1164×associate-+r+
834×associate-*r*
786×associate-*l*
710×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04207574
111247268
258177264
Stop Event
node limit
Counts
190 → 272
Calls
Call 1
Inputs
1
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(exp.f64 x)
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(/.f64 (exp.f64 x) eps)
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(exp.f64 (fma.f64 x eps x))
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(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 x eps x)))
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(/.f64 1 eps)
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1
(+.f64 (/.f64 1 eps) 1)
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1
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(pow.f64 (exp.f64 (fma.f64 x eps x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3) 1/3)
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(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3))
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(/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (neg.f64 (-.f64 1 (pow.f64 eps -2)))) (neg.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 -1 (neg.f64 (pow.f64 eps -3)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 1 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 1 (pow.f64 eps -2)))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 1 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3)))) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (+.f64 1 (pow.f64 eps -3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (-.f64 1 (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 eps -3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps -2) 1) (exp.f64 (fma.f64 x eps x))) (-.f64 (/.f64 1 eps) 1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) (exp.f64 (fma.f64 x eps x))) (neg.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 eps -3))) (exp.f64 (fma.f64 x eps x))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps -3))) (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps -2))) (*.f64 (exp.f64 (fma.f64 x eps x)) (hypot.f64 1 (pow.f64 eps -1/2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(pow.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(sqrt.f64 (exp.f64 (*.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))) 2)))
(log.f64 (exp.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))) 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 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps))))))
(-.f64 (+.f64 1 (/.f64 1 eps)) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 1 eps)))) 1)
(-.f64 (/.f64 1 (+.f64 1 (/.f64 -1 eps))) (/.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))
(-.f64 (+.f64 2 (/.f64 1 eps)) 1)
(*.f64 1 (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) 1)
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(*.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (+.f64 1 (pow.f64 eps -3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (-.f64 1 (*.f64 (pow.f64 eps -2) (*.f64 (-.f64 (/.f64 1 eps) 1) (-.f64 (/.f64 1 eps) 1))))) (+.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 3))) (+.f64 1 (*.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)) (-.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)) 1))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))) (*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (hypot.f64 1 (pow.f64 eps -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (hypot.f64 1 (pow.f64 eps -1/2)))))
(/.f64 1 (/.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 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps -3))) (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)) (sqrt.f64 (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps -2))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 1 (pow.f64 eps -3)))) (/.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)) (cbrt.f64 (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 eps -2))) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (-.f64 (pow.f64 eps -2) 1) (-.f64 (/.f64 1 eps) 1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3))) (*.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -3))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 eps -3) eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)) (+.f64 1 (*.f64 (pow.f64 eps -3) (-.f64 (pow.f64 eps -3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 eps -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 (pow.f64 eps -3) eps)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) (neg.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 eps -3))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 1 (pow.f64 eps -3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (-.f64 1 (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (pow.f64 eps -3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps -2) 1) 1) (-.f64 (/.f64 1 eps) 1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) 1) (neg.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 eps -3))) 1) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps -3))) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps -2))) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 eps -3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 eps -3) eps)) (/.f64 1 (+.f64 1 (/.f64 -1 eps)))) (+.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 eps -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 eps)))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 (pow.f64 eps -3) eps))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (-.f64 1 (pow.f64 eps -3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (+.f64 1 (*.f64 (pow.f64 eps -3) (-.f64 (pow.f64 eps -3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (neg.f64 (+.f64 1 (/.f64 -1 eps)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))))
(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 (log.f64 (+.f64 2 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
Outputs
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 1 (*.f64 x (+.f64 1 eps)))
(+.f64 1 (fma.f64 eps x x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (+.f64 1 eps))))
(fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (fma.f64 (+.f64 1 eps) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 eps x x)) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 1))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 eps 3) (exp.f64 x)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))))
(/.f64 (exp.f64 x) eps)
(+.f64 (/.f64 (exp.f64 x) eps) (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 eps))) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (pow.f64 eps -3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 eps))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (-.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 eps -3) eps)) (/.f64 1 (+.f64 1 (/.f64 -1 eps)))) (+.f64 1 (pow.f64 eps -2)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 eps -3) eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 eps -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 eps)))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 (pow.f64 eps -3) eps))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 eps -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 (pow.f64 eps -3) eps)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 eps -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 (pow.f64 eps -3) eps))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (-.f64 1 (pow.f64 eps -3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -6)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (-.f64 1 (pow.f64 eps -3)))
(/.f64 (-.f64 1 (pow.f64 eps -6)) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (+.f64 1 (*.f64 (pow.f64 eps -3) (-.f64 (pow.f64 eps -3) 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (+.f64 1 (*.f64 (pow.f64 eps -3) (+.f64 (pow.f64 eps -3) -1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (fma.f64 (pow.f64 eps -3) (+.f64 -1 (pow.f64 eps -3)) 1)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (+.f64 (pow.f64 eps -6) (-.f64 1 (pow.f64 eps -3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (neg.f64 (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 -1 (/.f64 -1 eps)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))))
(/.f64 (-.f64 -1 (pow.f64 eps -3)) (-.f64 -1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(fabs.f64 (+.f64 1 (/.f64 1 eps)))
(fabs.f64 (-.f64 1 (/.f64 -1 eps)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(fma.f64 1 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(+.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 -1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x (neg.f64 x)))
0.0b
(*.f64 (+.f64 eps 1) x)
0.1b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
5.5b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
Compiler

Compiled 116 to 72 computations (37.9% saved)

series9.0ms (0.1%)

Counts
3 → 68
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
1.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
1.0ms
x
@inf
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
1.0ms
x
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
1.0ms
x
@-inf
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))

rewrite94.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1784×associate-/r*
450×associate-+l+
446×add-sqr-sqrt
440×pow1
440×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020123
1436107
26124107
Stop Event
node limit
Counts
3 → 149
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(*.f64 (+.f64 eps 1) x)
Outputs
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#<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 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simplify147.0ms (0.9%)

Algorithm
egg-herbie
Rules
712×associate-+r-
690×associate-*r*
576×+-commutative
546×associate-*l*
518×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060312157
1189910857
2777810847
Stop Event
node limit
Counts
217 → 336
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 1 x))) eps)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) (pow.f64 x 2)) (pow.f64 (+.f64 1 x) 2))))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x))))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps) (/.f64 1 (*.f64 eps x))))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x))))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x)))) (/.f64 1 x)) eps)))
(+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x)))) (/.f64 1 x)) eps)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x)))) (/.f64 1 x)) eps)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 3)) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (pow.f64 x 2)))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (/.f64 1 (*.f64 (+.f64 1 eps) x)))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (neg.f64 x)))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 3))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (*.f64 -1 x)))) (/.f64 1 (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (*.f64 -1 x)))) (/.f64 1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (+.f64 1 eps)))) (/.f64 1 (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (*.f64 (+.f64 eps 1) (pow.f64 x 3)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (fma.f64 eps x (*.f64 -1 x)))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (/.f64 1 (*.f64 (+.f64 eps 1) x))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(/.f64 -1 (*.f64 eps (+.f64 1 x)))
(-.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x)) (+.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) (pow.f64 x 2))) (pow.f64 (+.f64 1 x) 2)) (*.f64 -1 (/.f64 (*.f64 eps (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x)) (+.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(/.f64 1 (*.f64 eps x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))))
(/.f64 1 (*.f64 eps x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 4) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 3))))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) x)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps 1) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (/.f64 1 (*.f64 (+.f64 eps 1) x))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))) (/.f64 1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 eps (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 4))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))) (/.f64 1 (*.f64 (+.f64 eps 1) x))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 4)))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))))
(/.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (/.f64 1 (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (*.f64 (+.f64 1 eps) (pow.f64 x 3)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 eps (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 4))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (/.f64 1 (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (*.f64 (+.f64 1 eps) (pow.f64 x 3))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 4)))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))))))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))
(-.f64 (+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 -1 (+.f64 -1 (fma.f64 eps x x))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 1)
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 -1 (+.f64 -1 (fma.f64 eps x x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (/.f64 -1 (+.f64 -1 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (/.f64 -1 (+.f64 -1 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 (/.f64 1 eps) -1) (/.f64 1 (+.f64 -1 (fma.f64 eps x x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (pow.f64 (fma.f64 eps x x) 2))) (+.f64 1 (fma.f64 eps x x)))
(*.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 (fma.f64 eps x x) 3))) (+.f64 1 (*.f64 (fma.f64 eps x x) (-.f64 (fma.f64 eps x x) 1))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (+.f64 1 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (+.f64 1 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 1)
(pow.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 (fma.f64 eps x x)) (+.f64 (/.f64 1 eps) -1)) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (fma.f64 eps x x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (+.f64 1 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (fma.f64 eps x x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (log1p.f64 (fma.f64 eps x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(+.f64 1 (-.f64 (fma.f64 eps x x) 1))
(+.f64 1 (-.f64 (neg.f64 (fma.f64 eps x x)) 1))
(+.f64 1 (-.f64 (*.f64 -1 (fma.f64 eps x x)) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x))) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x))) 1))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 (*.f64 eps x) 1))
(+.f64 (fma.f64 eps x x) 0)
(+.f64 0 (fma.f64 eps x x))
(+.f64 (*.f64 eps x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(+.f64 (+.f64 0 (*.f64 eps x)) x)
(+.f64 (*.f64 (*.f64 eps x) 1) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) x)
(+.f64 (+.f64 (*.f64 (*.f64 eps x) 1) 0) x)
(+.f64 (-.f64 (*.f64 eps x) 0) x)
(+.f64 (-.f64 (+.f64 0 (*.f64 eps x)) 0) x)
(+.f64 (-.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (+.f64 0 (*.f64 eps x)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 1 (+.f64 1 (fma.f64 eps x x)))
(-.f64 (+.f64 1 (fma.f64 eps x x)) 1)
(-.f64 0 (-.f64 x (*.f64 eps x)))
(-.f64 (/.f64 -1 (+.f64 -1 (fma.f64 eps x x))) (+.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (+.f64 1 (fma.f64 eps x x))) 1))
(-.f64 (*.f64 eps x) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 eps x)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 eps x x)))) 2)
(-.f64 (+.f64 0 (*.f64 eps x)) x)
(-.f64 (+.f64 (*.f64 (*.f64 eps x) 1) 0) x)
(-.f64 (+.f64 0 (+.f64 0 (*.f64 eps x))) x)
(-.f64 (+.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 eps x) 1) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 (*.f64 eps x) 0) x)
(-.f64 (-.f64 (+.f64 0 (*.f64 eps x)) 0) x)
(/.f64 (fma.f64 eps x x) 1)
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (fma.f64 eps x x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (-.f64 (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 (*.f64 eps x) x)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) 1) (+.f64 eps -1))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (*.f64 (cbrt.f64 (+.f64 eps -1)) (cbrt.f64 (+.f64 eps -1)))) (cbrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) 1) (+.f64 eps -1))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (*.f64 (cbrt.f64 (+.f64 eps -1)) (cbrt.f64 (+.f64 eps -1)))) (cbrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) 1) (fma.f64 eps x x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) x) (+.f64 1 eps))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) x) (+.f64 eps -1))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (+.f64 1 eps)) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 1 eps)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (sqrt.f64 (+.f64 1 eps))) (*.f64 (sqrt.f64 (+.f64 1 eps)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (+.f64 1 eps)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (cbrt.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 eps)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 (+.f64 1 eps) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 1 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 x 1))) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 -1 (+.f64 x 1))) eps)
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2
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(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (fma.f64 x eps x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (*.f64 (cbrt.f64 (+.f64 1 eps)) x))
(/.f64 (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 x eps) x)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (*.f64 x (cbrt.f64 (+.f64 1 eps))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (*.f64 x (*.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 x eps) x)) (sqrt.f64 (+.f64 1 eps))) (*.f64 x (sqrt.f64 (+.f64 1 eps))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (*.f64 x (*.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 x eps) x)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (*.f64 x (cbrt.f64 (+.f64 1 eps))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (*.f64 x (*.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 (+.f64 1 eps) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 x eps) x)) (*.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (*.f64 (+.f64 1 eps) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x x)) (*.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (fma.f64 eps x x) (-.f64 (*.f64 x eps) x)) (*.f64 (*.f64 (+.f64 1 eps) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 eps eps -1))) (*.f64 (+.f64 1 eps) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (fma.f64 eps x x) 1)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(fma.f64 eps x x)
(fma.f64 x eps x)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(fabs.f64 (fma.f64 x eps x))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(fma.f64 eps x x)
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 eps x x)
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 eps x x)
(fma.f64 x eps x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 x eps x)

eval829.0ms (5.3%)

Compiler

Compiled 43826 to 29326 computations (33.1% saved)

prune452.0ms (2.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1211121223
Fresh549
Picked101
Done314
Total1220171237
Error
0.0b
Counts
1237 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
62.2b
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
0.7b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
38.2b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
17.8b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
17.6b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
46.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
18.2b
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
35.5b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
49.7b
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
17.6b
(/.f64 2 2)
47.3b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
46.7b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
49.6b
(*.f64 1/2 (pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3))
62.1b
(*.f64 1/2 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (/.f64 1 (*.f64 x eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))))
38.0b
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
45.5b
(*.f64 1/2 0)
Compiler

Compiled 633 to 489 computations (22.7% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0b
(/.f64 (+.f64 x 1) (exp.f64 x))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1712×add-sqr-sqrt
1696×*-un-lft-identity
1582×add-cube-cbrt
1564×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116415
2212415
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))))

simplify49.0ms (0.3%)

Algorithm
egg-herbie
Rules
1590×associate-/r*
1066×associate-/l/
1030×associate-*r*
944×distribute-lft-in
918×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103994
1246966
2883848
33804846
Stop Event
node limit
Counts
44 → 55
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1))
(+.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 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2)))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))) 1)
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (+.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (+.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 x) x))
(pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)
(exp.f64 (-.f64 (log1p.f64 x) x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(exp.f64 (-.f64 (log1p.f64 x) x))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 1))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
4.7b
(-.f64 1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 32 to 16 computations (50% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

9 calls:

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

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1258×associate-*r/
1076×associate-/r*
896×associate-*l/
870×*-commutative
832×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120828
2275728
Stop Event
node limit
Counts
2 → 130
Calls
Call 1
Inputs
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
Outputs
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simplify84.0ms (0.5%)

Algorithm
egg-herbie
Rules
1506×associate-/r/
756×associate-+r+
684×associate-+l+
564×+-commutative
518×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03315100
19084914
240604830
Stop Event
node limit
Counts
146 → 226
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(/.f64 x eps)
(+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 4) eps)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(+.f64 1 (neg.f64 (exp.f64 x)))
(+.f64 (neg.f64 (exp.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 1 (-.f64 0 (expm1.f64 x)))
(*.f64 (-.f64 0 (expm1.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (-.f64 1 (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (-.f64 1 (exp.f64 (*.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))) (-.f64 0 (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 (*.f64 x 3)))) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) (-.f64 (-.f64 0 (expm1.f64 x)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 1 (/.f64 1 (-.f64 0 (expm1.f64 x))))
(/.f64 (-.f64 0 (expm1.f64 x)) 1)
(/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 0 (expm1.f64 x)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))) (/.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (/.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (*.f64 1 (neg.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (*.f64 1 (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x))) (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3)))) (*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) (*.f64 1 (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 x x)) 3)) (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 (+.f64 1 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x))) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x 3)) 3)) (*.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))) (+.f64 1 (+.f64 (exp.f64 (*.f64 x 3)) (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3))) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) 1) (neg.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) 1) (neg.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 x)) 3)) 1) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (sqrt.f64 (-.f64 0 (expm1.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 0 (expm1.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (*.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x))) (/.f64 1 (+.f64 1 (exp.f64 x)))) (+.f64 1 (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 x x)) 3)) (/.f64 1 (+.f64 1 (exp.f64 x)))) (+.f64 (+.f64 1 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x))) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3)))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))) (+.f64 1 (exp.f64 (*.f64 x 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (*.f64 x 3)) 3)) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))) (+.f64 1 (+.f64 (exp.f64 (*.f64 x 3)) (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3))))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) 1) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))) (sqrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))) (cbrt.f64 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(pow.f64 (-.f64 0 (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 0 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 0 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 0 (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 0 (expm1.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 0 (expm1.f64 x))))
(+.f64 (/.f64 1 eps) (neg.f64 (/.f64 (exp.f64 x) eps)))
(+.f64 (/.f64 1 eps) (*.f64 (/.f64 1 eps) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 1 eps) (*.f64 1 (neg.f64 (/.f64 (exp.f64 x) eps))))
(+.f64 (/.f64 1 eps) (*.f64 (neg.f64 (/.f64 (exp.f64 x) eps)) 1))
(+.f64 (/.f64 1 eps) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 eps)))
(+.f64 (neg.f64 (/.f64 (exp.f64 x) eps)) (/.f64 1 eps))
(+.f64 (*.f64 (/.f64 1 eps) (neg.f64 (exp.f64 x))) (/.f64 1 eps))
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 eps)) (/.f64 1 eps))
(-.f64 (/.f64 1 eps) (/.f64 (exp.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps))) 1)
(*.f64 1 (/.f64 (-.f64 0 (expm1.f64 x)) eps))
(*.f64 (-.f64 0 (expm1.f64 x)) (/.f64 1 eps))
(*.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 1)
(*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(*.f64 (sqrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) (sqrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(*.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 2) (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(*.f64 (/.f64 1 eps) (-.f64 0 (expm1.f64 x)))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 -1 eps))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) eps) (sqrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) eps) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) eps) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) eps) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (-.f64 0 (expm1.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (-.f64 0 (expm1.f64 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (sqrt.f64 eps)) (/.f64 1 (sqrt.f64 eps)))
(*.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (cbrt.f64 eps)) (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (/.f64 -1 eps) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (cbrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (cbrt.f64 eps)) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) eps) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (/.f64 1 (/.f64 eps (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) eps) (-.f64 1 (exp.f64 (+.f64 x x)))) (-.f64 0 (expm1.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) eps) (+.f64 1 (exp.f64 (*.f64 x 3)))) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) (-.f64 (-.f64 0 (expm1.f64 x)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 3) 1/3)
(pow.f64 (/.f64 eps (-.f64 0 (expm1.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(exp.f64 (log.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 1 (exp.f64 (*.f64 -1 x)))
(-.f64 1 (exp.f64 (neg.f64 x)))
(/.f64 x eps)
(+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)))
(+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps)))
(fma.f64 -1/2 (/.f64 x (/.f64 eps x)) (/.f64 x eps))
(fma.f64 -1/2 (*.f64 (/.f64 x eps) x) (/.f64 x eps))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) (/.f64 x eps)))
(fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 -1/2 (*.f64 (/.f64 x eps) x) (/.f64 x eps)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 4) eps)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) eps)) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (pow.f64 x 2) eps)))))
(fma.f64 -1/24 (/.f64 (pow.f64 x 4) eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps)))))
(fma.f64 -1/24 (/.f64 (pow.f64 x 4) eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 -1/2 (/.f64 x (/.f64 eps x)) (/.f64 x eps))))
(fma.f64 -1/24 (/.f64 (pow.f64 x 4) eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) eps) (fma.f64 -1/2 (*.f64 (/.f64 x eps) x) (/.f64 x eps))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(+.f64 1 (neg.f64 (exp.f64 x)))
(-.f64 1 (exp.f64 x))
(+.f64 (neg.f64 (exp.f64 x)) 1)
(-.f64 1 (exp.f64 x))
(+.f64 (-.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 1 (exp.f64 x))
(*.f64 1 (-.f64 0 (expm1.f64 x)))
(neg.f64 (expm1.f64 x))
(*.f64 (-.f64 0 (expm1.f64 x)) 1)
(neg.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 (-.f64 0 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(*.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))
(neg.f64 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x))))
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(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (sqrt.f64 eps)) (/.f64 1 (sqrt.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (cbrt.f64 eps)) (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 -1 eps) (+.f64 (exp.f64 x) -1))
(-.f64 (/.f64 1 eps) (/.f64 (exp.f64 x) eps))
(/.f64 (-.f64 1 (exp.f64 x)) eps)
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (cbrt.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (cbrt.f64 eps)) (/.f64 (sqrt.f64 (-.f64 0 (expm1.f64 x))) (pow.f64 (cbrt.f64 eps) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) eps))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) (sqrt.f64 eps)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (sqrt.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps)) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps))) (pow.f64 (cbrt.f64 eps) 2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (neg.f64 eps))) (pow.f64 (cbrt.f64 eps) 2)) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2) eps) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(*.f64 (/.f64 1 (/.f64 eps (pow.f64 (cbrt.f64 (-.f64 0 (expm1.f64 x))) 2))) (cbrt.f64 (-.f64 0 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) eps) (-.f64 1 (exp.f64 (+.f64 x x)))) (-.f64 0 (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) eps) (+.f64 1 (exp.f64 (*.f64 x 3)))) (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 x)))
(*.f64 (+.f64 1 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) eps)))
(*.f64 (-.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 x)) (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (*.f64 eps (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (-.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (exp.f64 x)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (*.f64 eps (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) (-.f64 (-.f64 0 (expm1.f64 x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (-.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x)))) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (+.f64 x x)))) eps) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(*.f64 (-.f64 (neg.f64 (expm1.f64 x)) (pow.f64 (exp.f64 2) x)) (/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) eps) (-.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 x) 3))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (exp.f64 (*.f64 x 3))) eps) (+.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) eps) (/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) 3)) (-.f64 (+.f64 1 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x)))) (exp.f64 (+.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) eps) (/.f64 (+.f64 1 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x)) 3)) (+.f64 1 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 x)) -1)))))
(pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 1)
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 2)
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)) 3)
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(pow.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 3) 1/3)
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(pow.f64 (/.f64 eps (-.f64 0 (expm1.f64 x))) -1)
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(neg.f64 (/.f64 (-.f64 0 (expm1.f64 x)) (neg.f64 eps)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps) 2))
(fabs.f64 (/.f64 (neg.f64 (expm1.f64 x)) eps))
(fabs.f64 (/.f64 (expm1.f64 x) (neg.f64 eps)))
(log.f64 (exp.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps))))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps) 3))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(exp.f64 (log.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 0 (expm1.f64 x)) eps)))
(/.f64 (neg.f64 (expm1.f64 x)) eps)
(/.f64 (expm1.f64 x) (neg.f64 eps))

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 eps 1) x)
0.0b
(*.f64 (-.f64 eps 1) x)
0.1b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
5.6b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
Compiler

Compiled 120 to 89 computations (25.8% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1288×associate-/l*
556×associate-+l+
446×add-sqr-sqrt
440×pow1
440×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01988
143180
2625980
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
(*.f64 (-.f64 eps 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) (-.f64 1 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (+.f64 eps -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps -1) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 eps -1) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 eps -1) x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (+.f64 eps -1) x))) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2) (-.f64 1 (*.f64 (+.f64 eps -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (fma.f64 eps eps (+.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (fma.f64 eps eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (fma.f64 eps eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 eps -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 eps -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
1084×associate--l+
838×*-commutative
698×associate-+l-
680×unswap-sqr
664×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02926011
18915243
235425131
Stop Event
node limit
Counts
99 → 155
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 (+.f64 1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (-.f64 x (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (-.f64 x (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) (pow.f64 x 2))) (pow.f64 (+.f64 1 x) 2)) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (+.f64 (*.f64 -1 (/.f64 x eps)) (/.f64 1 (*.f64 eps x))))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (+.f64 x (+.f64 (/.f64 1 (*.f64 eps x)) (*.f64 -1 (/.f64 x eps)))))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (/.f64 1 x)) eps)) x))))
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (/.f64 1 x)) eps)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 2 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 3))))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(*.f64 -1 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 1))
(+.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(+.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (+.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))
(+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))
(+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))))
(+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (+.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps)))) (+.f64 1 (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) (-.f64 1 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps)))))
(-.f64 (+.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 1) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))) 1)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps)))) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) 2)) (-.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) 3) (pow.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps)))) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)) 2)) (*.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps))) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 1 eps) 1)))))
(+.f64 1 (-.f64 (*.f64 (+.f64 eps -1) x) 1))
(+.f64 (*.f64 (+.f64 eps -1) x) 0)
(+.f64 (*.f64 x eps) (*.f64 x -1))
(+.f64 (*.f64 x -1) (*.f64 x eps))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 -1 x) (*.f64 eps x))
(-.f64 (fma.f64 (+.f64 eps -1) x 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 eps -1) x 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (+.f64 eps -1) x))) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2) (-.f64 1 (*.f64 (+.f64 eps -1) x))) 1))
(/.f64 x (/.f64 1 (+.f64 eps -1)))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 1 eps) x))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (fma.f64 eps eps (+.f64 1 eps)) x))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (fma.f64 eps eps (+.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (fma.f64 eps eps (+.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 eps -1) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 (+.f64 1 x))) eps)
(/.f64 (-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 1 x))) eps)
(/.f64 (+.f64 (-.f64 1 x) (/.f64 -1 (+.f64 1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps))))) (fma.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 (+.f64 1 x) eps))))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x eps)) (-.f64 1 (-.f64 (/.f64 1 (+.f64 eps (*.f64 x eps))) (/.f64 x (pow.f64 (+.f64 1 x) 2))))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x eps) (+.f64 1 (/.f64 1 eps)))) (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 -1 (+.f64 eps (*.f64 x eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (-.f64 x (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 -1 x (fma.f64 eps (-.f64 x (/.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (neg.f64 x) (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 1 x) x))) (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 -1 (/.f64 x eps) x))))) (fma.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 (+.f64 1 x) eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x eps)) (*.f64 eps (-.f64 x (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 1 x) x))))) (-.f64 1 (-.f64 (/.f64 1 (+.f64 eps (*.f64 x eps))) (/.f64 x (pow.f64 (+.f64 1 x) 2))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 eps (-.f64 x (*.f64 (/.f64 x (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))))) (/.f64 1 (+.f64 1 x))) (/.f64 x eps))) (-.f64 (/.f64 1 (+.f64 eps (*.f64 x eps))) (/.f64 x (pow.f64 (+.f64 1 x) 2)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (-.f64 x (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) (pow.f64 x 2))) (pow.f64 (+.f64 1 x) 2)) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 -1 x (fma.f64 eps (-.f64 x (/.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (neg.f64 x) (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 1 x) x))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 -1 (/.f64 x eps) x)) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (neg.f64 x) (pow.f64 (+.f64 1 x) 2))) (*.f64 x x)))))))) (fma.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 (+.f64 1 x) eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 (fma.f64 eps (-.f64 x (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 (+.f64 1 x) x))) (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 x) 2)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))))))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x eps))) (-.f64 1 (-.f64 (/.f64 1 (+.f64 eps (*.f64 x eps))) (/.f64 x (pow.f64 (+.f64 1 x) 2))))))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 (fma.f64 eps (-.f64 x (*.f64 (/.f64 x (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))))) (*.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (pow.f64 (+.f64 1 x) 2))) (*.f64 x x)) (/.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 x) 2)))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x eps))) (+.f64 (-.f64 1 (/.f64 1 (+.f64 eps (*.f64 x eps)))) (/.f64 x (pow.f64 (+.f64 1 x) 2)))))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 1 (fma.f64 eps x (*.f64 0 x)))
(+.f64 1 (*.f64 x eps))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (+.f64 (*.f64 -1 (/.f64 x eps)) (/.f64 1 (*.f64 eps x))))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 eps x (+.f64 (*.f64 0 x) (fma.f64 -1 (/.f64 x eps) (/.f64 1 (*.f64 x eps)))))))
(+.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (/.f64 1 (*.f64 x eps)) (/.f64 x eps)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (+.f64 x (+.f64 (/.f64 1 (*.f64 eps x)) (*.f64 -1 (/.f64 x eps)))))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 eps x (fma.f64 -1 x (+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x)) (*.f64 eps eps)) x) (fma.f64 -1 (/.f64 x eps) (/.f64 1 (*.f64 x eps))))))))
(+.f64 1 (+.f64 (/.f64 1 eps) (+.f64 (fma.f64 x eps (-.f64 (/.f64 1 (*.f64 x eps)) (/.f64 x eps))) (/.f64 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x))) (*.f64 eps eps)))))
(+.f64 1 (+.f64 (+.f64 (fma.f64 x eps (-.f64 (/.f64 1 (*.f64 x eps)) (/.f64 x eps))) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (*.f64 x x))) (*.f64 eps eps))) (/.f64 1 eps)))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 1 (fma.f64 eps x (*.f64 0 x)))
(+.f64 1 (*.f64 x eps))
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (/.f64 1 x)) eps)) x))))
(+.f64 1 (fma.f64 eps x (fma.f64 -1 x (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 (neg.f64 x))) (/.f64 1 x)) eps) x))))
(+.f64 1 (+.f64 (fma.f64 x eps 0) (/.f64 (neg.f64 (fma.f64 -1 (-.f64 1 x) (/.f64 -1 x))) eps)))
(-.f64 (+.f64 1 (*.f64 x eps)) (/.f64 (+.f64 (+.f64 -1 x) (/.f64 -1 x)) eps))
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (/.f64 1 x)) eps)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) x)))))
(+.f64 1 (fma.f64 eps x (fma.f64 -1 x (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 1 (neg.f64 x))) (/.f64 1 x)) eps) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x)) (*.f64 eps eps)) x)))))
(+.f64 1 (fma.f64 x eps (+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 -1 (-.f64 1 x) (/.f64 -1 x))) eps) (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x)) (*.f64 eps eps))) 0)))
(+.f64 1 (fma.f64 x eps (-.f64 (/.f64 (+.f64 (/.f64 -2 x) (/.f64 -1 (*.f64 x x))) (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 -1 x) (/.f64 -1 x)) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) 2)
(fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2)
(fma.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) 2)
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x (+.f64 2 (*.f64 (+.f64 1 eps) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (+.f64 1 eps))))))
(fma.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) (+.f64 2 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) 2) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2))))
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(*.f64 x (/.f64 (+.f64 -1 (pow.f64 eps 3)) (fma.f64 eps eps (+.f64 1 eps))))
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 2))
(fabs.f64 (-.f64 (*.f64 x eps) x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps -1) x))))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 eps -1) x)) 1))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))
(*.f64 x (+.f64 -1 eps))
(-.f64 (*.f64 x eps) x)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (-.f64 (*.f64 x eps) x))
0.0b
(*.f64 (+.f64 eps 1) x)
0.1b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
5.5b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
Compiler

Compiled 117 to 72 computations (38.5% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1216×associate-/l*
462×add-sqr-sqrt
456×associate-+l+
456×pow1
456×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02090
144786
2635686
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x))))
(exp.f64 (-.f64 (*.f64 x eps) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (/.f64 (exp.f64 x) (sqrt.f64 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (*.f64 eps x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))))

simplify82.0ms (0.5%)

Algorithm
egg-herbie
Rules
1480×associate-+r+
1054×+-commutative
830×associate-*r/
770×associate-*l/
666×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03116531
19306129
239036047
Stop Event
node limit
Counts
101 → 177
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 1 x))) eps)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) (pow.f64 x 2)) (pow.f64 (+.f64 1 x) 2))))) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x))))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps) (/.f64 1 (*.f64 eps x))))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))) (/.f64 1 (*.f64 eps x))))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 x)) eps)) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 x)) eps)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 x)) eps)) (+.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))) (*.f64 (pow.f64 eps 3) x)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x))) (pow.f64 eps 2))))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 3)) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (pow.f64 x 2)))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x)))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 eps) x)) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 3))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2)))))))
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 1 (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 1 (*.f64 (+.f64 eps 1) x)))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (+.f64 1 eps)))) (/.f64 1 (*.f64 (+.f64 eps 1) (+.f64 1 eps)))) (*.f64 (+.f64 eps 1) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 eps (*.f64 (+.f64 1 eps) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) (/.f64 1 (*.f64 (+.f64 eps 1) x))))) (+.f64 (/.f64 1 (*.f64 eps (*.f64 (+.f64 eps 1) x))) (/.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (+.f64 1 eps) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (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)))) (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 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))))
(+.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1))
(+.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))))
(-.f64 (+.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) 1)
(*.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (-.f64 (*.f64 eps x) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) 1)
(*.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))
(/.f64 1 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps)))
(/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (/.f64 (exp.f64 x) (sqrt.f64 (pow.f64 (exp.f64 x) eps))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 x) eps))) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (exp.f64 x) eps))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (-.f64 (*.f64 eps x) x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (-.f64 (*.f64 eps x) x)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 1 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (+.f64 x 1))) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 -1 (+.f64 x 1))) eps)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (fma.f64 -1 (/.f64 x (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (*.f64 (+.f64 x 1) eps))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 1 (+.f64 eps (*.f64 x eps))) (/.f64 x (pow.f64 (+.f64 x 1) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 -1 (+.f64 x 1))) eps)) (/.f64 x (pow.f64 (+.f64 x 1) 2)))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2)))) x) (+.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (*.f64 eps (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (/.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (neg.f64 x) (pow.f64 (+.f64 x 1) 2))) (/.f64 (+.f64 x 1) x)))))) (fma.f64 -1 (/.f64 x (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (*.f64 (+.f64 x 1) eps)))))
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(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
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(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
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2
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(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)))
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1
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(pow.f64 (E.f64) (fma.f64 eps x (neg.f64 x)))
(pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (-.f64 (*.f64 eps x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x (neg.f64 x))) 2)) (cbrt.f64 (fma.f64 eps x (neg.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2)) (cbrt.f64 (-.f64 (*.f64 x eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (-.f64 (*.f64 eps x) x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x (neg.f64 x)))) (sqrt.f64 (fma.f64 eps x (neg.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x eps) x))) (sqrt.f64 (-.f64 (*.f64 x eps) x)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) 2))
(fabs.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps -1))

eval755.0ms (4.8%)

Compiler

Compiled 39905 to 25672 computations (35.7% saved)

prune361.0ms (2.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1136141150
Fresh5611
Picked101
Done235
Total1144231167
Error
0.0b
Counts
1167 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
62.2b
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
62.0b
(/.f64 (/.f64 x eps) 2)
0.7b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
38.2b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
17.8b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
17.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
17.8b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
18.2b
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
62.1b
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
35.5b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
49.7b
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
17.6b
(/.f64 2 2)
46.6b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
47.3b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
46.6b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
46.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
62.2b
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
54.8b
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
61.8b
(*.f64 1/2 (*.f64 x eps))
38.0b
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
45.5b
(*.f64 1/2 0)
Compiler

Compiled 791 to 611 computations (22.8% saved)

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 1) (exp.f64 x))
Compiler

Compiled 53 to 32 computations (39.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (*.f64 x eps))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1320×add-sqr-sqrt
1304×*-un-lft-identity
1210×add-cube-cbrt
1194×add-cbrt-cube
1180×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114113
2163313
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (*.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x eps))))))))

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
1048×log-prod
958×associate-*r*
878×distribute-lft-in
852×distribute-rgt-in
852×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038455
194455
2356455
32435455
47507455
Stop Event
node limit
Counts
35 → 13
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x eps))) 1)
(pow.f64 (*.f64 1/2 (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x eps)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 1/2))
(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))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x eps))))
Outputs
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x eps))) 1)
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(pow.f64 (*.f64 1/2 (*.f64 x eps)) 1)
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 x eps))) 2)
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x eps))) 3)
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x eps)) 3) 1/3)
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 1/2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x eps)) 3))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x eps))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x eps))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x eps))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 1/2 x))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 eps) 1)
0.0b
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
0.0b
(*.f64 (+.f64 1 eps) x)
0.2b
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
Compiler

Compiled 61 to 45 computations (26.2% saved)

series3.0ms (0%)

Counts
4 → 60
Calls

21 calls:

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

rewrite101.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1250×distribute-rgt-in
1212×distribute-lft-in
612×associate-/r*
336×associate-/l*
322×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01294
126990
2364290
Stop Event
node limit
Counts
4 → 225
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) x)
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(-.f64 (/.f64 1 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 x (*.f64 (+.f64 (/.f64 1 eps) -1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 x (*.f64 eps (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 x eps) (+.f64 (/.f64 1 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 (/.f64 1 eps) 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1 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)))))

simplify149.0ms (1%)

Algorithm
egg-herbie
Rules
1018×+-commutative
916×associate-*r*
788×associate-*l*
582×distribute-lft-in
580×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056611341
115449403
276699283
Stop Event
node limit
Counts
285 → 353
Calls
Call 1
Inputs
(/.f64 x eps)
(+.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 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.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))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.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 (+.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))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(/.f64 x eps)
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))))
2
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))
(/.f64 1 eps)
-1
-1
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x eps)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) eps) x))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) x))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 x (*.f64 (+.f64 (/.f64 1 eps) -1) eps)))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 x (*.f64 eps (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 x eps) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (+.f64 x (*.f64 x eps)) (/.f64 1 eps)) (*.f64 (+.f64 x (*.f64 x eps)) -1))
(+.f64 (*.f64 (+.f64 x (*.f64 x eps)) -1) (*.f64 (+.f64 x (*.f64 x eps)) (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 x eps))) (*.f64 -1 (+.f64 x (*.f64 x eps))))
(+.f64 (*.f64 -1 (+.f64 x (*.f64 x eps))) (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 x eps))))
(+.f64 (*.f64 1 (*.f64 (+.f64 x (*.f64 x eps)) (/.f64 1 eps))) (*.f64 1 (*.f64 (+.f64 x (*.f64 x eps)) -1)))
(+.f64 (*.f64 1 (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 x eps)))) (*.f64 1 (*.f64 -1 (+.f64 x (*.f64 x eps)))))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 1 eps) -1) eps)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 x (*.f64 eps (+.f64 (/.f64 1 eps) -1))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) 1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) eps))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) eps) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) 1))
(+.f64 (*.f64 (*.f64 (+.f64 x (*.f64 x eps)) (/.f64 1 eps)) 1) (*.f64 (*.f64 (+.f64 x (*.f64 x eps)) -1) 1))
(+.f64 (*.f64 (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 x eps))) 1) (*.f64 (*.f64 -1 (+.f64 x (*.f64 x eps))) 1))
(+.f64 (*.f64 (*.f64 x eps) (+.f64 (/.f64 1 eps) -1)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) eps) x) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (*.f64 eps (*.f64 (+.f64 (/.f64 1 eps) -1) x)))
(+.f64 (*.f64 eps (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (*.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))) 1)
(/.f64 (+.f64 x (*.f64 x eps)) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 1)
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(/.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2))) (neg.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 3))) (neg.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)) 1) (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))))) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))))) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 3)) 1) (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 3)) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2))))) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 3)) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)))) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)))))) (cbrt.f64 (+.f64 4 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)))))
(pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)))
(exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)))
(fma.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps))) 2)
(fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)) 2)
(fma.f64 (+.f64 x (*.f64 x eps)) (+.f64 (/.f64 1 eps) -1) 2)
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 x eps)))) 2)
(fma.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) x 2)
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.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 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.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 -1/2)) (-.f64 (pow.f64 eps -1/2) 1))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -2) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(*.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 (/.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 -3)) (-.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))) (-.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))) (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -2) (pow.f64 eps -3)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (+.f64 -1 (pow.f64 eps -3))))
(/.f64 (+.f64 (/.f64 1 eps) -1) 1)
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.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 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps -2) -1)) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (+.f64 (pow.f64 eps -2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) -1)) (cbrt.f64 (+.f64 (pow.f64 eps -2) -1))) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (+.f64 (pow.f64 eps -2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (sqrt.f64 (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(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 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
Outputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(fma.f64 -1 x (+.f64 x (/.f64 x eps)))
(+.f64 (/.f64 x eps) 0)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(neg.f64 (*.f64 x eps))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 x eps x)
(/.f64 x eps)
(+.f64 2 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
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(/.f64 (+.f64 (pow.f64 eps -6) -1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -6)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -6)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (/.f64 (-.f64 1 (/.f64 -1 eps)) eps)))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps -2) 3) -1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (pow.f64 eps -4) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -2) 3)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (pow.f64 eps -4)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -2) 3)) (*.f64 (-.f64 1 (/.f64 -1 eps)) (+.f64 1 (+.f64 (pow.f64 eps -2) (pow.f64 eps -4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps -3) 3) -1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 eps -6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 1 (+.f64 (pow.f64 eps -3) (pow.f64 eps -6)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (/.f64 -1 eps)) eps)) (+.f64 1 (+.f64 (pow.f64 eps -3) (pow.f64 eps -6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 eps -2)) (*.f64 (/.f64 1 eps) -1)) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps -3) 3) -1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 eps -6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 1 (+.f64 (pow.f64 eps -3) (pow.f64 eps -6)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 eps -3) 3)) (*.f64 (+.f64 1 (/.f64 (-.f64 1 (/.f64 -1 eps)) eps)) (+.f64 1 (+.f64 (pow.f64 eps -3) (pow.f64 eps -6)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -2) -1)) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 eps -3))) (+.f64 -1 (neg.f64 (+.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 (-.f64 1 (/.f64 -1 eps)) eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (sqrt.f64 (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) 1) (+.f64 1 (+.f64 (/.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 1 (/.f64 -1 eps)) eps)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.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 1 (/.f64 -1 eps)) eps)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.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 1 (/.f64 -1 eps)) eps)))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(+.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 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
0.0b
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
0.0b
(*.f64 x (+.f64 1 eps))
Compiler

Compiled 57 to 42 computations (26.3% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite99.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1172×associate-*r/
1054×*-commutative
808×associate-*l/
780×distribute-lft-in
498×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01265
125853
2354453
Stop Event
node limit
Counts
3 → 388
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 eps))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x eps)) (log.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (*.f64 x eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (neg.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 1 (*.f64 (*.f64 x eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 1 (*.f64 eps (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 1 (neg.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (neg.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x eps) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (neg.f64 x)) (*.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (neg.f64 x)) (*.f64 (*.f64 x eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (neg.f64 x)) (neg.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 -1)) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 eps (neg.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (*.f64 x eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 x)) (*.f64 -1 (*.f64 eps (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 x)) (*.f64 -1 (neg.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 eps (neg.f64 x))) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 -1)) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (*.f64 (*.f64 x eps) -1)))))) 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(pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))))

simplify139.0ms (0.9%)

Algorithm
egg-herbie
Rules
1420×associate-/l*
1008×associate-/r*
972×associate-*r*
848×associate-*l*
648×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085218084
1234716640
Stop Event
node limit
Counts
460 → 638
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.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)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) 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)))))
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) 1) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
Outputs
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (neg.f64 (fma.f64 eps x x)))
(-.f64 1 (fma.f64 eps x x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (fma.f64 eps x x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)))))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (*.f64 x x) 1/2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))))))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps 1) 2))) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.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)))) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (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 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (neg.f64 (fma.f64 eps x x)))
(-.f64 2 (fma.f64 eps x 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))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)) (+.f64 2 (neg.f64 (fma.f64 eps x x))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps 1) 2))) (-.f64 2 (fma.f64 eps x 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)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)) (+.f64 2 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps 1) 2))) (-.f64 2 (fma.f64 eps x x))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.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)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (+.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x)))) 1)
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.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))))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (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 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (+.f64 1 (exp.f64 (neg.f64 x))))))
(fma.f64 -1 (*.f64 eps (/.f64 x (exp.f64 x))) (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (+.f64 1 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x))))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 x (*.f64 x eps))
(fma.f64 eps x x)
(+.f64 (+.f64 x (*.f64 x eps)) 0)
(fma.f64 eps x x)
(+.f64 (+.f64 x (*.f64 x eps)) (log.f64 -1))
(+.f64 (fma.f64 eps x x) (log.f64 -1))
(+.f64 0 (+.f64 x (*.f64 x eps)))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) x)
(fma.f64 eps x x)
(+.f64 (neg.f64 x) (*.f64 eps (neg.f64 x)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x eps) -1))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 x eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 1 (*.f64 (*.f64 x eps) -1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 1 (*.f64 eps (neg.f64 x))))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 1 (neg.f64 (*.f64 x eps))))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.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 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (log.f64 -1) (+.f64 x (*.f64 x eps)))
(+.f64 (fma.f64 eps x x) (log.f64 -1))
(+.f64 (*.f64 eps (neg.f64 x)) (neg.f64 x))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 (*.f64 x eps) -1) (neg.f64 x))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) 3)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) 3)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 6)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (+.f64 1 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (exp.f64 x) (+.f64 eps 1))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 6)) (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 3)) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) 3)) (*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 6))) 1) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (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 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))) (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2)) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) 1) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps)))))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3)) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))))) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x)))) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2) (expm1.f64 (fma.f64 eps x x))))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 2)
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3) 1/3)
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0b
(+.f64 1/3 (*.f64 -1/8 x))
0.0b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))
0.3b
(*.f64 x (+.f64 1/3 (*.f64 -1/8 x)))
Compiler

Compiled 136 to 87 computations (36% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))
0.0ms
x
@inf
(*.f64 x (+.f64 1/3 (*.f64 -1/8 x)))
0.0ms
x
@-inf
(*.f64 x (+.f64 1/3 (*.f64 -1/8 x)))
0.0ms
x
@0
(*.f64 x (+.f64 1/3 (*.f64 -1/8 x)))
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1492×associate-*r/
1222×associate-*l/
1038×distribute-lft-in
280×add-sqr-sqrt
266×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01265
127853
2368453
Stop Event
node limit
Counts
3 → 218
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/3 (*.f64 -1/8 x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))
(+.f64 1/3 (*.f64 -1/8 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/3) 1) (*.f64 (*.f64 x (*.f64 x -1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) 1) (*.f64 (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/3) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/8)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x -1/8 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 1/8 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/9 (*.f64 (*.f64 x x) 1/64))) (+.f64 1/3 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) x) (+.f64 1/3 (*.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8)))) (-.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8))) 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simplify191.0ms (1.2%)

Algorithm
egg-herbie
Rules
1178×associate-/l*
1102×associate-*r*
1016×associate-*l*
646×+-commutative
612×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058012352
1164910986
2787710986
Stop Event
node limit
Counts
254 → 317
Calls
Call 1
Inputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
1/3
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(*.f64 -1/8 x)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(+.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/3))
(+.f64 (*.f64 (*.f64 x 1/3) 1) (*.f64 (*.f64 x (*.f64 x -1/8)) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) 1) (*.f64 (*.f64 x 1/3) 1))
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/3) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/8)) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/3)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x -1/8 1/3)))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 1/8 x)) x))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64))) (pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/3)) 2)) (cbrt.f64 (+.f64 1/3 (*.f64 1/8 x))))
(/.f64 (*.f64 (-.f64 1/81 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64))) (/.f64 1 (+.f64 1/3 (*.f64 1/8 x)))) (+.f64 (*.f64 (*.f64 x x) 1/64) 1/9))
(/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 (*.f64 x x) 1/64) 3)) (/.f64 1 (+.f64 1/3 (*.f64 1/8 x)))) (+.f64 1/81 (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/64) (*.f64 (*.f64 x x) 1/64)) (*.f64 1/9 (*.f64 (*.f64 x x) 1/64)))))
(/.f64 (*.f64 (-.f64 1/729 (*.f64 (*.f64 -1/512 (pow.f64 x 3)) (*.f64 -1/512 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))) (-.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 1/19683 (pow.f64 (*.f64 -1/512 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))) (+.f64 1/729 (-.f64 (*.f64 (*.f64 -1/512 (pow.f64 x 3)) (*.f64 -1/512 (pow.f64 x 3))) (*.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) 1) (+.f64 1/3 (*.f64 1/8 x)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (sqrt.f64 (+.f64 1/3 (*.f64 1/8 x)))) (sqrt.f64 (+.f64 1/3 (*.f64 1/8 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (*.f64 (cbrt.f64 (+.f64 1/3 (*.f64 1/8 x))) (cbrt.f64 (+.f64 1/3 (*.f64 1/8 x))))) (cbrt.f64 (+.f64 1/3 (*.f64 1/8 x))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))
(pow.f64 (fma.f64 x -1/8 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -1/8 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 2))
(log.f64 (exp.f64 (fma.f64 x -1/8 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/8 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/8 1/3)))
(exp.f64 (log.f64 (fma.f64 x -1/8 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/8 1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -1/8 1/3)))
(fma.f64 x -1/8 1/3)
(fma.f64 -1/8 x 1/3)
(fma.f64 1 (*.f64 x -1/8) 1/3)
(fma.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (*.f64 x -1/8)) 1/3)
(fma.f64 (pow.f64 (*.f64 -1/2 (cbrt.f64 x)) 2) (*.f64 -1/2 (cbrt.f64 x)) 1/3)
Outputs
(*.f64 1/3 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/8))
(*.f64 -1/8 (*.f64 x x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(*.f64 -1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/8))
(*.f64 -1/8 (*.f64 x x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/3 x))
(*.f64 x (fma.f64 x -1/8 1/3))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 1/3 x)))
(*.f64 (*.f64 x x) (fma.f64 1/3 x -1/2))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
(*.f64 -1/8 (pow.f64 x 4))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4)))
(*.f64 (pow.f64 x 3) (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)))
1/3
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(*.f64 -1/8 x)
(*.f64 x -1/8)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 -1/8 x) 1/3)
(fma.f64 x -1/8 1/3)
(+.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/3))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 (*.f64 x 1/3) 1) (*.f64 (*.f64 x (*.f64 x -1/8)) 1))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) 1) (*.f64 (*.f64 x 1/3) 1))
(*.f64 x (fma.f64 x -1/8 1/3))
(+.f64 (*.f64 1 (*.f64 (*.f64 x 1/3) 1)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/8)) 1)))
(*.f64 x (fma.f64 x -1/8 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/3)))) 1)
(*.f64 x (fma.f64 x -1/8 1/3))
(/.f64 x (/.f64 1 (fma.f64 x -1/8 1/3)))
(*.f64 x (fma.f64 x -1/8 1/3))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 1/8 x)) x))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))) x))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (*.f64 x (-.f64 1/9 (*.f64 (*.f64 x x) 1/64))) (+.f64 1/3 (*.f64 1/8 x)))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 x (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3)))) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) x) (+.f64 1/3 (*.f64 1/8 x)))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8)))) (-.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/8 1/3)) (*.f64 x (-.f64 1/3 (*.f64 x -1/8)))) (*.f64 x (-.f64 1/3 (*.f64 x -1/8))))
(/.f64 (-.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (fma.f64 x 1/8 1/3)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8))) (*.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (*.f64 x (*.f64 x -1/8)) (-.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/3 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -1/512 1/27)) (fma.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x (fma.f64 x -1/8 -1/3)) (*.f64 x (*.f64 1/9 x))))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) 1/64) 1/9)) (-.f64 (*.f64 x -1/8) 1/3))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)))) (neg.f64 (+.f64 1/3 (*.f64 1/8 x))))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 x (neg.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)))) (+.f64 1/3 (*.f64 1/8 x)))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 1 (*.f64 x (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))))) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) x)) (+.f64 1/3 (*.f64 1/8 x)))
(/.f64 (-.f64 1/9 (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 1/3 (*.f64 x 1/8)) x))
(/.f64 (fma.f64 x (*.f64 x 1/64) -1/9) (/.f64 (fma.f64 x -1/8 -1/3) x))
(/.f64 (*.f64 1 (*.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) x)) (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8))))) (-.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -1/8 1/3)) (*.f64 x (-.f64 1/3 (*.f64 x -1/8)))) (*.f64 x (-.f64 1/3 (*.f64 x -1/8))))
(/.f64 (-.f64 (*.f64 x (*.f64 1/9 x)) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 x (fma.f64 x 1/8 1/3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3))) (+.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x (*.f64 x -1/8))) (*.f64 (*.f64 x 1/3) (*.f64 x (*.f64 x -1/8))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (pow.f64 (*.f64 x (*.f64 x -1/8)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (*.f64 x (*.f64 x -1/8)) (-.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 1/3 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) -1/512 1/27)) (fma.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 x (fma.f64 x -1/8 -1/3)) (*.f64 x (*.f64 1/9 x))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/8 1/3))) (sqrt.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/8 1/3))) (/.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24))) (sqrt.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)))))
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27))) (sqrt.f64 (fma.f64 x -1/8 1/3))))
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(/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 -1/512 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/64) (-.f64 1/9 (*.f64 -1/24 x)))))
(/.f64 (+.f64 1/27 (*.f64 (pow.f64 x 3) -1/512)) (-.f64 (fma.f64 (*.f64 x x) 1/64 1/9) (*.f64 x -1/24)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/27) (+.f64 1/9 (*.f64 x (-.f64 (*.f64 x 1/64) -1/24))))
(pow.f64 (fma.f64 x -1/8 1/3) 1)
(fma.f64 x -1/8 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/8 1/3)) 2)
(fma.f64 x -1/8 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -1/8 1/3)) 3)
(fma.f64 x -1/8 1/3)
(pow.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3) 1/3)
(fma.f64 x -1/8 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 2))
(fabs.f64 (fma.f64 x -1/8 1/3))
(log.f64 (exp.f64 (fma.f64 x -1/8 1/3)))
(fma.f64 x -1/8 1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/8 1/3))))
(fma.f64 x -1/8 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x -1/8 1/3) 3))
(fma.f64 x -1/8 1/3)
(expm1.f64 (log1p.f64 (fma.f64 x -1/8 1/3)))
(fma.f64 x -1/8 1/3)
(exp.f64 (log.f64 (fma.f64 x -1/8 1/3)))
(fma.f64 x -1/8 1/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/8 1/3)) 1))
(fma.f64 x -1/8 1/3)
(log1p.f64 (expm1.f64 (fma.f64 x -1/8 1/3)))
(fma.f64 x -1/8 1/3)
(fma.f64 x -1/8 1/3)
(fma.f64 -1/8 x 1/3)
(fma.f64 x -1/8 1/3)
(fma.f64 1 (*.f64 x -1/8) 1/3)
(fma.f64 x -1/8 1/3)
(fma.f64 (sqrt.f64 (*.f64 x -1/8)) (sqrt.f64 (*.f64 x -1/8)) 1/3)
(fma.f64 x -1/8 1/3)
(fma.f64 (pow.f64 (*.f64 -1/2 (cbrt.f64 x)) 2) (*.f64 -1/2 (cbrt.f64 x)) 1/3)
(+.f64 1/3 (pow.f64 (*.f64 -1/2 (cbrt.f64 x)) 3))

eval1.1s (7%)

Compiler

Compiled 42428 to 28695 computations (32.4% saved)

prune572.0ms (3.7%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New148081488
Fresh11415
Picked101
Done257
Total1484271511
Error
0.0b
Counts
1511 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
62.2b
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
62.0b
(/.f64 (/.f64 x eps) 2)
0.7b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
38.2b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
17.9b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2)
17.8b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
17.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
55.1b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
18.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
18.0b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
17.9b
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
18.2b
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 -1) (+.f64 x (*.f64 x eps))))) 2)
17.9b
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
62.1b
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
49.7b
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
17.6b
(/.f64 2 2)
46.6b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
47.3b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
46.6b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
46.8b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
62.2b
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
54.8b
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
61.8b
(*.f64 1/2 (*.f64 x eps))
38.0b
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
45.5b
(*.f64 1/2 0)
Compiler

Compiled 489 to 378 computations (22.7% saved)

regimes116.0ms (0.7%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (-.f64 x (*.f64 x eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 -1) (+.f64 x (*.f64 x eps))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(*.f64 1/2 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (/.f64 1 (*.f64 x eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(/.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 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(/.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 x (+.f64 (neg.f64 eps) -1))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 1/2 (pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3))
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

4 calls:

29.0ms
eps
26.0ms
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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.7b1x
0.7b1eps
0.7b1(/.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)
0.7b1(-.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 1082 to 743 computations (31.3% saved)

regimes182.0ms (1.2%)

Counts
34 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (-.f64 x (*.f64 x eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(*.f64 1/2 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 1 (*.f64 (+.f64 1 eps) x))) (/.f64 1 (*.f64 eps (*.f64 (+.f64 1 eps) x)))))
(/.f64 (-.f64 1 (neg.f64 (pow.f64 (exp.f64 -1) (+.f64 x (*.f64 x eps))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

104.0ms
eps
31.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 571 to 400 computations (29.9% saved)

bsearch111.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
110.0ms
7.9983018596201e-8
376654.22386462236
Results
52.0ms46×body512valid
39.0ms75×body1024valid
7.0ms38×body256infinite
5.0ms33×body256valid
4.0msbody2048valid
Compiler

Compiled 386 to 319 computations (17.4% saved)

regimes153.0ms (1%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 (*.f64 x eps)))))
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

119.0ms
eps
26.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 368 to 261 computations (29.1% saved)

bsearch104.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
104.0ms
7.9983018596201e-8
376654.22386462236
Results
44.0ms73×body1024valid
35.0ms35×body512valid
8.0ms56×body256infinite
7.0ms10×body2048valid
7.0ms42×body256valid
Compiler

Compiled 376 to 309 computations (17.8% saved)

regimes110.0ms (0.7%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

79.0ms
eps
23.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 317 to 225 computations (29% saved)

bsearch75.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
75.0ms
7.9983018596201e-8
376654.22386462236
Results
33.0ms66×body1024valid
10.0ms53×body256valid
9.0ms29×body512valid
9.0ms44×body256infinite
9.0ms12×body2048valid
Compiler

Compiled 346 to 289 computations (16.5% saved)

regimes104.0ms (0.7%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

76.0ms
eps
19.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 272 to 196 computations (27.9% saved)

bsearch162.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
161.0ms
7.9983018596201e-8
376654.22386462236
Results
86.0ms90×body1024valid
59.0ms42×body512valid
5.0msbody2048valid
5.0ms35×body256infinite
4.0ms23×body256valid
Compiler

Compiled 306 to 259 computations (15.4% saved)

regimes136.0ms (0.9%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

112.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 233 to 169 computations (27.5% saved)

bsearch123.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
123.0ms
7.9983018596201e-8
376654.22386462236
Results
87.0ms79×body1024valid
14.0ms39×body512valid
8.0ms34×body256valid
6.0ms43×body256infinite
6.0msbody2048valid
Compiler

Compiled 296 to 249 computations (15.9% saved)

regimes89.0ms (0.6%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 (exp.f64 (-.f64 (*.f64 x eps) x)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(*.f64 1/2 0)
Calls

2 calls:

63.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
1.0b2x
13.4b7eps
Compiler

Compiled 216 to 158 computations (26.9% saved)

bsearch98.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
98.0ms
7.9983018596201e-8
376654.22386462236
Results
61.0ms81×body1024valid
12.0ms11×body2048valid
10.0ms33×body512valid
6.0ms39×body256infinite
6.0ms35×body256valid
Compiler

Compiled 386 to 309 computations (19.9% saved)

regimes83.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 2 2)
(*.f64 1/2 (*.f64 x eps))
(/.f64 (/.f64 x eps) 2)
(*.f64 1/2 (+.f64 1 (*.f64 x eps)))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 (/.f64 x eps) (*.f64 -1/2 (/.f64 (*.f64 x x) eps))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 eps 1) x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2))
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2)
(*.f64 1/2 0)
Calls

2 calls:

67.0ms
eps
13.0ms
x
Results
ErrorSegmentsBranch
1.1b2x
15.7b3eps
Compiler

Compiled 128 to 94 computations (26.6% saved)

bsearch107.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
107.0ms
7.9983018596201e-8
376654.22386462236
Results
39.0ms76×body1024valid
23.0ms42×body256infinite
10.0ms14×body2048valid
9.0ms30×body512valid
6.0ms40×body256valid
Compiler

Compiled 326 to 279 computations (14.4% saved)

regimes38.0ms (0.2%)

Accuracy

Total -61.7b remaining (-5340.4%)

Threshold costs -61.7b (-5340.4%)

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

2 calls:

26.0ms
eps
10.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
15.7b3eps
Compiler

Compiled 83 to 59 computations (28.9% saved)

bsearch95.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
94.0ms
7.9983018596201e-8
376654.22386462236
Results
52.0ms62×body1024valid
14.0ms59×body256valid
12.0ms47×body256infinite
10.0ms32×body512valid
5.0msbody2048valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
256×*-commutative
224×distribute-lft-neg-in
162×+-commutative
116×neg-sub0
108×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077590
1124562
2204562
3316562
4436562
5534562
6640562
7717562
8756562
9765562
10767562
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 350) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 370) (/.f64 2 2) (*.f64 1/2 0))
(*.f64 1/2 0)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 -1 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 -1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (-.f64 -1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2)))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 2308094809027379/1125899906842624) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (-.f64 -1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 350) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 350) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 350) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))) 2) 0)
(if (<=.f64 x 350) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/3))))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (*.f64 (neg.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) -1/2)))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 2) 0)
(if (<=.f64 x 7/4) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) 2) 0)
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (*.f64 1/2 0))
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 x x) -1/2)))) 2) 0)
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))) (+.f64 1 (*.f64 (*.f64 x x) -1/2))) 2) 0)
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 -1 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 3512807709348987/2251799813685248) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 -1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (-.f64 -1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 1)) 2) (*.f64 1/2 0))
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2))) 1) 2) 0)
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (+.f64 1 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))) -1/2)))) 2) 0)
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (-.f64 1 (+.f64 -1 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 (-.f64 1 (+.f64 -1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (-.f64 -1/3 (*.f64 x -1/8))))))) 2) 0)
(if (<=.f64 x 370) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 370) 1 0)
(*.f64 1/2 0)
0
Compiler

Compiled 224 to 175 computations (21.9% saved)

soundness265.0ms (1.7%)

Algorithm
egg-herbie
Rules
1356×fma-def
1274×associate--r+
1196×associate-/l*
1030×associate-*l*
1026×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
069328498
1195921496
2777620856
Stop Event
node limit
node limit
Compiler

Compiled 509 to 383 computations (24.8% saved)

end122.0ms (0.8%)

Compiler

Compiled 206 to 145 computations (29.6% saved)

Profiling

Loading profile data...