Details

Time bar (total: 13.3s)

analyze207.0ms (1.6%)

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)

sample3.2s (23.9%)

Results
1.4s2022×body1024valid
951.0ms4988×body256valid
371.0ms1043×body512valid
207.0ms203×body2048valid
105.0ms423×body256unsamplable
79.0ms497×body256infinite
49.0ms24×body1024infinite
5.0ms16×body512infinite
Bogosity

preprocess57.0ms (0.4%)

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)

simplify52.0ms (0.4%)

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)

prune4.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New246
Fresh101
Picked000
Done000
Total347
Error
30.7b
Counts
7 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
47.0b
(/.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)
47.0b
(/.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)
30.8b
(/.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)
30.8b
(*.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 116 to 88 computations (24.1% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x x))
0.0b
(exp.f64 (fma.f64 eps x (neg.f64 x)))
0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
6.3b
(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)

series10.0ms (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))))

rewrite119.0ms (0.9%)

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
019132
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 (neg.f64 x)))
(exp.f64 (fma.f64 eps x 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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simplify141.0ms (1.1%)

Algorithm
egg-herbie
Rules
1206×associate-*r/
1150×+-commutative
792×associate--l+
772×associate--r+
746×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03909187
111688539
252138315
Stop Event
node limit
Counts
169 → 229
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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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 x)
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1
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(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))
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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 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.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 (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)) (/.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 (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 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))) (exp.f64 (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))

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.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 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
2.4b
(-.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
5.0ms
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
@inf
(*.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)))))

rewrite217.0ms (1.6%)

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
020178
1443152
26105152
Stop Event
node limit
Counts
4 → 321
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 (/.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))
Outputs
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((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))))))

simplify308.0ms (2.3%)

Algorithm
egg-herbie
Rules
1122×associate-+r+
986×+-commutative
884×associate-*r*
880×associate-+l+
688×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090841845
1252137899
Stop Event
node limit
Counts
417 → 565
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)))))
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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))))))
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2
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(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
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(-.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 (exp.f64 (*.f64 -1 x)) eps)
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(/.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))) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.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 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -2))) (-.f64 1 (pow.f64 eps -2))) (/.f64 -1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.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 (*.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)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (-.f64 1 (pow.f64 eps -2))) (/.f64 -1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 1 (pow.f64 eps -3))) (/.f64 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)) 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 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(exp.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 (-.f64 1 eps) x) 0)
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))
(+.f64 (*.f64 x (neg.f64 eps)) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 x (*.f64 x (neg.f64 eps)))
(-.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (*.f64 (-.f64 1 eps) x) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.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 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.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 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.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 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps 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 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
Outputs
(-.f64 (+.f64 (*.f64 (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 (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 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (*.f64 eps 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 (fma.f64 (exp.f64 (neg.f64 x)) x (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 (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 (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 (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 (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 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 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)))))
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2
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(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 eps 1)) x)
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 x 1) (/.f64 1 (-.f64 1 eps)))
(*.f64 (-.f64 1 eps) (*.f64 1 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 eps 1)) x)
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(/.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 1 (*.f64 eps eps)) (/.f64 (cbrt.f64 (+.f64 eps 1)) x)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.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 1 (*.f64 eps eps)) (/.f64 (cbrt.f64 (+.f64 eps 1)) x)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps)))) (-.f64 1 (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.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 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.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 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(/.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 1 (*.f64 eps eps)) (/.f64 (cbrt.f64 (+.f64 eps 1)) x)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.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 1 (*.f64 eps eps)) (/.f64 (cbrt.f64 (+.f64 eps 1)) x)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(/.f64 x (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps)))) (-.f64 1 (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.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 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.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 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(*.f64 x (-.f64 1 eps))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(*.f64 x (-.f64 1 eps))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(*.f64 x (-.f64 1 eps))
(neg.f64 (*.f64 (-.f64 1 eps) x))
(neg.f64 (*.f64 x (-.f64 1 eps)))
(*.f64 x (neg.f64 (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 x (log.f64 (exp.f64 (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(*.f64 x (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(*.f64 x (-.f64 1 eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.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 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
0.5b
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
2.9b
(-.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)

series54.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
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))
7.0ms
x
@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)))))
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)))))
4.0ms
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)))))

rewrite157.0ms (1.2%)

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
021182
1477148
26893148
Stop Event
node limit
Counts
4 → 221
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 (+.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))))
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 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 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 1)))))) (#(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))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.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 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (+.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))))) (+.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 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) 1) (+.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))))))))) 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simplify221.0ms (1.7%)

Algorithm
egg-herbie
Rules
1454×fma-def
980×associate-+r+
944×associate-*r*
828×+-commutative
732×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067430727
1188124059
Stop Event
node limit
Counts
317 → 422
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 (-.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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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 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)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (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 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 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 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (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 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) 1/5040))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps) (exp.f64 (neg.f64 (fma.f64 eps x 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps) (exp.f64 (neg.f64 (fma.f64 eps x 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps) (exp.f64 (neg.f64 (fma.f64 eps x 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 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x 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 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))) eps)) (neg.f64 (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))) eps)) (neg.f64 (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(-.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 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))) eps)) (neg.f64 (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
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)
(fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps))))) x 2)
(fma.f64 x (fma.f64 (+.f64 -1 (neg.f64 (/.f64 1 eps))) (-.f64 1 eps) (*.f64 (+.f64 eps 1) (+.f64 -1 (/.f64 1 eps)))) 2)
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1
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(+.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 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 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x 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 eps x 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 eps x 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 eps x 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 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(*.f64 (/.f64 (exp.f64 (fma.f64 eps x 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 eps x 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 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (exp.f64 (fma.f64 eps x x)))
(/.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 eps x x)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 eps -2))))
(*.f64 (/.f64 (exp.f64 (fma.f64 eps x 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 eps x 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 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (exp.f64 (fma.f64 eps x x)))
(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 eps x 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 eps x 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 eps x 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 eps x 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 eps x x))) 2))
(fabs.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x 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 eps x 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 eps x 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 eps x 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 eps x 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 eps x 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 eps x 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 eps x x)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x x))
0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
0.5b
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.3b
(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))))
Compiler

Compiled 101 to 61 computations (39.6% saved)

series44.0ms (0.3%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
25.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
8.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
4.0ms
eps
@inf
(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))))
3.0ms
eps
@-inf
(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))))
1.0ms
eps
@0
(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))))

rewrite97.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1308×associate-/l*
886×associate-/r/
542×associate-/l/
392×add-sqr-sqrt
384×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018115
1386111
25057111
Stop Event
node limit
Counts
3 → 102
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
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simplify119.0ms (0.9%)

Algorithm
egg-herbie
Rules
1498×associate-*r/
930×associate--l+
836×associate--r+
614×associate-*r*
568×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044610498
113929752
257298908
Stop Event
node limit
Counts
166 → 249
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
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2
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(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
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(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
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(*.f64 1 (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (+.f64 eps -1)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) x))
(*.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 -1) x))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(exp.f64 (*.f64 (+.f64 eps -1) x))
(exp.f64 (*.f64 (*.f64 (+.f64 eps -1) x) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (neg.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(*.f64 (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 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) 1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) 1)) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.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 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (-.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (+.f64 1 (pow.f64 eps -3)))) (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (/.f64 (*.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 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))))
(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 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x 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) (exp.f64 x)) -1/2)))))))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
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2
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(/.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.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 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) 1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -2))) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) 1)) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.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 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (-.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (neg.f64 (-.f64 1 (pow.f64 eps -2))) (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (+.f64 -1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (+.f64 1 (pow.f64 eps -3)))) (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (/.f64 (+.f64 -1 (neg.f64 (pow.f64 eps -3))) (exp.f64 (neg.f64 (fma.f64 eps x x))))) (neg.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (fma.f64 eps x x))) (-.f64 -1 (pow.f64 eps -3))) (-.f64 -1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps -2)) (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 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -3))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (+.f64 1 (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (+.f64 1 (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (-.f64 (/.f64 -1 eps) (+.f64 -1 (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (/.f64 -1 eps)) (pow.f64 eps -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)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (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 eps x x) (log1p.f64 (/.f64 -1 eps)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (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))
(fabs.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))

eval1.4s (10.5%)

Compiler

Compiled 70674 to 47578 computations (32.7% saved)

prune530.0ms (4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1472111483
Fresh000
Picked101
Done303
Total1476111487
Error
0.0b
Counts
1487 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.6b
(/.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)
0.6b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
45.5b
(/.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)
45.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
45.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))) 2)
1.2b
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
1.2b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
0.6b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
14.9b
(/.f64 2 2)
48.2b
(/.f64 0 2)
Compiler

Compiled 482 to 378 computations (21.6% saved)

localize81.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 114 to 88 computations (22.8% saved)

series2.0ms (0%)

Counts
3 → 16
Calls

9 calls:

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

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1736×add-sqr-sqrt
1720×*-un-lft-identity
1600×add-cube-cbrt
260×pow1
244×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01277
126245
2381645
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 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 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 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simplify67.0ms (0.5%)

Algorithm
egg-herbie
Rules
1864×associate-/r*
1192×fma-def
842×unswap-sqr
666×distribute-lft-in
624×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01803745
14653395
220213205
Stop Event
node limit
Counts
143 → 140
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
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 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 x 1))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(-.f64 0 (*.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(*.f64 (exp.f64 x) (-.f64 x 1))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1)))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 x (exp.f64 x)))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 x (exp.f64 x)))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/6 x)) (*.f64 x x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 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 (pow.f64 x 3) 1/3)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x (*.f64 x -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 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 1 x))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) 1)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 x 1))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 x 1))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (exp.f64 (+.f64 x (log1p.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 (+.f64 x (log1p.f64 x)))))
(-.f64 0 (/.f64 (-.f64 (exp.f64 x) (/.f64 (*.f64 x (exp.f64 x)) (/.f64 1 x))) (+.f64 x 1)))
(*.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (exp.f64 x) (-.f64 x 1))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
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(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(*.f64 (+.f64 x 1) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (exp.f64 x))))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3))) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (-.f64 -1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (exp.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 (*.f64 x (exp.f64 x)) (/.f64 1 x))) (+.f64 x 1))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) -1)) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)) (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 3)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3) 1/3)
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(neg.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 x (log1p.f64 x))))
(*.f64 (exp.f64 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (exp.f64 x)) (exp.f64 (exp.f64 x))))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 3))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 1))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 -1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (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 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (exp.f64 x) -1 (*.f64 x (exp.f64 x)))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 -1 x))
(fma.f64 (exp.f64 x) x (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (*.f64 x (exp.f64 x)) -1 (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (+.f64 (neg.f64 x) 1) (exp.f64 x))
(*.f64 (exp.f64 x) (-.f64 1 x))
(fma.f64 1 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize47.0ms (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 1 eps) (neg.f64 x))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
6.4b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
Compiler

Compiled 90 to 63 computations (30% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite139.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
944×associate-/r*
568×associate-/l*
564×associate-/r/
408×associate-+l+
366×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01578
133668
2472766
Stop Event
node limit
Counts
2 → 162
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (fma.f64 (-.f64 1 (/.f64 1 eps)) 1 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 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simplify193.0ms (1.5%)

Algorithm
egg-herbie
Rules
1408×associate-+l-
1344×associate-+r-
784×fma-def
662×associate-*r*
584×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050016686
1145515748
2623115456
Stop Event
node limit
Counts
210 → 318
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
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1
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(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3)) (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (-.f64 1 (/.f64 1 eps)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 3)) (-.f64 (+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps))) 1) (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (/.f64 1 eps)) 1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) 3)) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) 3) (pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (*.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) 1) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) -1) 2)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2)))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(*.f64 (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 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))) (cbrt.f64 (*.f64 (-.f64 1 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))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) 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 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (+.f64 1 (/.f64 -1 eps))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
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(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))) 2))
(fabs.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps))) 3))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))) 1))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (-.f64 1 (/.f64 1 eps)))
(+.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.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)))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.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))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.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))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.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))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.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 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(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))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
(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))

localize88.0ms (0.7%)

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) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))
0.1b
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))
6.5b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
Compiler

Compiled 180 to 131 computations (27.2% saved)

series42.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
0.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
0.0ms
x
@0
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))

rewrite169.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
708×associate-+r+
602×+-commutative
532×add-sqr-sqrt
526×pow1
526×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022181
1513145
27665145
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 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simplify193.0ms (1.5%)

Algorithm
egg-herbie
Rules
1232×associate-+l-
1112×associate-+r-
822×fma-def
742×+-commutative
596×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054817031
1161115743
2646215593
Stop Event
node limit
Counts
241 → 344
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x)))))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
2
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps)))) x) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
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(-.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 1)
(-.f64 (/.f64 (pow.f64 eps -2) (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(*.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))
(*.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2)) (/.f64 1 (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(*.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) eps)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) eps))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2)) (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) eps))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (-.f64 (pow.f64 eps -2) (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2))) (neg.f64 (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (/.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2) (pow.f64 eps -2)) (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) (/.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))) 1) (-.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 1))))
(/.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)))) (*.f64 eps (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)))
(/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)))) (*.f64 eps (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1))))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)))) (*.f64 (neg.f64 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1))) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)))) (*.f64 (neg.f64 eps) (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1))))
(/.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) eps)) (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (neg.f64 eps)) (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) -1)) (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) (neg.f64 eps)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) eps) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) 1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (neg.f64 eps)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) -1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) (neg.f64 eps)))
(pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 1 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(fma.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
Outputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps)
(/.f64 (+.f64 -1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (+.f64 (+.f64 x (exp.f64 (neg.f64 x))) (/.f64 x eps))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 x eps) 0) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps)))
(+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)) x)) (/.f64 x eps)) (+.f64 x (/.f64 (exp.f64 (neg.f64 x)) eps)))) x)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x)))))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 x (/.f64 x eps))))))) (/.f64 1 eps)))
(+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)) x)) (/.f64 x eps)) (+.f64 x (/.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))) (exp.f64 (neg.f64 x)))) x)) (+.f64 1 (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) 1) (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps))
(+.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (+.f64 (/.f64 x eps) 0)) (fma.f64 x eps -1)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) 1) (fma.f64 -1 (*.f64 x eps) (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps)))))) (/.f64 1 eps))
(+.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (+.f64 (*.f64 x (neg.f64 eps)) (/.f64 x eps)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(+.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (+.f64 (/.f64 x eps) 0)) (fma.f64 x eps -1)) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
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(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (neg.f64 eps) (neg.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1))) (*.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1))) (*.f64 eps (fma.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)) -1)))
(/.f64 (-.f64 (fma.f64 (-.f64 -1 eps) (-.f64 (/.f64 x eps) x) -1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 2)))) (*.f64 eps (fma.f64 (-.f64 -1 eps) (-.f64 (/.f64 x eps) x) -1)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) eps) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) 1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) eps))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) eps (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 3)) (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 2))) (*.f64 eps (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 2))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (neg.f64 eps)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) -1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1)) (neg.f64 eps)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (neg.f64 eps) (neg.f64 (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)))) (*.f64 (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 eps (fma.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)) -1))))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 3)) (+.f64 (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) 1) (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 2)))) (*.f64 eps (fma.f64 -1 (pow.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 -1 eps)) 2) (fma.f64 (-.f64 -1 eps) (-.f64 (/.f64 x eps) x) -1))))
(pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 1)
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 2)
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 3)
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3) 1/3)
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1)) 2))
(fabs.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(expm1.f64 (log.f64 (fma.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(expm1.f64 (log.f64 (fma.f64 (-.f64 -1 eps) (-.f64 (/.f64 x eps) x) (/.f64 1 eps))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 1 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (sqrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) -1))

localize22.0ms (0.2%)

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)))

rewrite55.0ms (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)))))))))

simplify67.0ms (0.5%)

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)))

eval827.0ms (6.2%)

Compiler

Compiled 46089 to 33181 computations (28% saved)

prune425.0ms (3.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1238111249
Fresh156
Picked101
Done314
Total1243171260
Error
0b
Counts
1260 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
40.4b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
45.9b
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (-.f64 (/.f64 1 eps) 1)) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
14.9b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
45.5b
(/.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)
1.2b
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
1.2b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
30.7b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
15.3b
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
15.3b
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x)))) 2)
15.6b
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
61.8b
(/.f64 (*.f64 x (neg.f64 eps)) 2)
14.9b
(/.f64 2 2)
48.2b
(/.f64 0 2)
Compiler

Compiled 643 to 519 computations (19.3% saved)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite54.0ms (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))))))))

simplify51.0ms (0.4%)

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)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 28 computations (36.4% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite89.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
942×associate-*r/
926×*-commutative
740×associate-*l/
582×distribute-lft-in
566×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01165
123053
2302353
Stop Event
node limit
Counts
3 → 199
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(*.f64 (neg.f64 x) (-.f64 1 eps))
(exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps)))))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))) (+.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps))))))) (-.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (+.f64 1 (pow.f64 (*.f64 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simplify132.0ms (1%)

Algorithm
egg-herbie
Rules
1396×associate-/l/
1154×associate-/r/
682×+-commutative
620×associate-/l*
582×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052110133
113989545
254729545
Stop Event
node limit
Counts
271 → 357
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 -1 x)))
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(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3)) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (expm1.f64 (*.f64 x (-.f64 1 eps))))))))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(fma.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(+.f64 x (neg.f64 (*.f64 eps x)))
(+.f64 x (*.f64 1 (neg.f64 (*.f64 eps x))))
(+.f64 x (*.f64 -1 (neg.f64 (*.f64 eps x))))
(+.f64 x (*.f64 (neg.f64 (*.f64 eps x)) 1))
(+.f64 x (*.f64 (neg.f64 (*.f64 eps x)) -1))
(+.f64 (*.f64 x (-.f64 1 eps)) 0)
(+.f64 0 (*.f64 x (-.f64 1 eps)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))
(+.f64 (neg.f64 (*.f64 eps x)) x)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))) 1)
(+.f64 (*.f64 (-.f64 1 eps) 0) (*.f64 x (-.f64 1 eps)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(+.f64 (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(+.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(+.f64 (*.f64 (neg.f64 (-.f64 1 eps)) 0) (*.f64 x (-.f64 1 eps)))
(+.f64 (*.f64 0 (-.f64 1 eps)) (*.f64 x (-.f64 1 eps)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) -1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) -1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) -1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) -1))
(+.f64 (*.f64 0 (neg.f64 (-.f64 1 eps))) (*.f64 x (-.f64 1 eps)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (neg.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (neg.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))
(-.f64 x (neg.f64 (*.f64 eps x)))
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (*.f64 eps x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))) 1)
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 x (/.f64 1 (-.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 1 eps) x))
(/.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 eps) 3))) (+.f64 1 (+.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) eps)))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 eps eps)))) (+.f64 (neg.f64 eps) -1))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (pow.f64 eps 3)))) (+.f64 -1 (neg.f64 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (-.f64 1 eps) (+.f64 (*.f64 x x) 0)) x)
(/.f64 (*.f64 (-.f64 1 eps) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 -1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 eps)) (+.f64 (*.f64 x x) 0)) x)
(/.f64 (*.f64 (neg.f64 (-.f64 1 eps)) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (+.f64 (*.f64 x x) 0) (-.f64 1 eps)) x)
(/.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) (-.f64 1 eps)) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (+.f64 (*.f64 x x) 0) (neg.f64 (-.f64 1 eps))) x)
(/.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) (neg.f64 (-.f64 1 eps))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 eps) 3)) x) (+.f64 1 (+.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) eps)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 eps eps))) x) (+.f64 (neg.f64 eps) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 eps 3))) x) (+.f64 -1 (neg.f64 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (-.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (-.f64 1 eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.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))) (*.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 x (-.f64 1 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 0)
(+.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 2)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1))
(*.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 x))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x)))
(/.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) eps) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) eps) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps))) (exp.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
Outputs
2
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2)
(fma.f64 -1 (*.f64 (-.f64 1 eps) x) 2)
(fma.f64 x (+.f64 -1 eps) 2)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 (-.f64 1 eps) x) 2) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x))))
(fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 eps x)) 2) 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1 (*.f64 (-.f64 1 eps) x) 2) (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 -1/6 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))))
(+.f64 (fma.f64 x (+.f64 -1 eps) 2) (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 eps x)) 2) (*.f64 -1/6 (pow.f64 (-.f64 x (*.f64 eps x)) 3))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
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(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 2 x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (*.f64 2 x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(*.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 x))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x)))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(/.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 (exp.f64 x) eps) (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) eps) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) eps)))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) (neg.f64 eps))) (exp.f64 x))
(/.f64 (pow.f64 (exp.f64 x) (neg.f64 eps)) (exp.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (E.f64) (-.f64 x (*.f64 eps x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 eps x)))) (sqrt.f64 (-.f64 x (*.f64 eps x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 eps x))) 2)) (cbrt.f64 (-.f64 x (*.f64 eps x))))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))
(fabs.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)

localize50.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 145 to 102 computations (29.7% saved)

series4.0ms (0%)

Counts
3 → 45
Calls

18 calls:

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

rewrite138.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1076×associate-+l+
786×associate-+r+
440×add-sqr-sqrt
434×pow1
434×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01999
143161
2690861
Stop Event
node limit
Counts
3 → 211
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
(*.f64 (+.f64 1 (*.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (/.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (sqrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) 2) (cbrt.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (/.f64 1 (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) 1) (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (+.f64 1 (*.f64 x eps)) 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (neg.f64 (-.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2) (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x 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simplify124.0ms (0.9%)

Algorithm
egg-herbie
Rules
1184×+-commutative
1142×associate-/l*
930×associate--r+
880×associate-/r*
866×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04817956
112727412
241937276
Stop Event
node limit
Counts
256 → 334
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x))))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(*.f64 -1 (*.f64 eps x))
2
(+.f64 2 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
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(+.f64 (fma.f64 0 0 0) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (fma.f64 x 0 0) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (+.f64 0 x) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (+.f64 0 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) x))
(+.f64 (+.f64 0 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (+.f64 0 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)) x)
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) x)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) x))
(+.f64 (+.f64 (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) x) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (+.f64 (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (+.f64 (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) x))
(+.f64 (+.f64 (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (+.f64 (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1)) x)
(-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (/.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(-.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(*.f64 (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)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3/2) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3/2))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (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)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3))
(/.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (-.f64 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 x x)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) x))))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) -1)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1/2)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1/3)
(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 -1) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 -1) (/.f64 (+.f64 x (*.f64 x eps)) 2))
(pow.f64 (exp.f64 -1) (*.f64 2 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 -1) (*.f64 (+.f64 x (*.f64 x eps)) 3))
(pow.f64 (*.f64 (exp.f64 -1) (exp.f64 -1)) (+.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 (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 (pow.f64 (exp.f64 -1) (+.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fabs.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(hypot.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(hypot.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(fma.f64 1 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(fma.f64 0 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fma.f64 0 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
Outputs
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x)))
(+.f64 1 (fma.f64 -1 x (+.f64 x (exp.f64 (neg.f64 x)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) 0))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1)) (fma.f64 -1 x (+.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 (exp.f64 (neg.f64 x)) 0)))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 -1 x (+.f64 x (exp.f64 (neg.f64 x)))))))
(+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (+.f64 (exp.f64 (neg.f64 x)) 0))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) x))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (+.f64 1 (fma.f64 eps (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 -1 x (+.f64 x (exp.f64 (neg.f64 x))))))))
(+.f64 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (+.f64 (exp.f64 (neg.f64 x)) 0))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) 1))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 1/2 (*.f64 eps eps))))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
2
(+.f64 2 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x))
(+.f64 2 (*.f64 x (*.f64 -1 (+.f64 (-.f64 1 eps) eps))))
(fma.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps) 2)
(fma.f64 x (-.f64 (+.f64 -1 eps) eps) 2)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (+.f64 2 (*.f64 x (*.f64 -1 (+.f64 (-.f64 1 eps) eps)))))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (fma.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps) 2))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (fma.f64 x (-.f64 (+.f64 -1 eps) eps) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 eps))) (*.f64 -1 eps)) x))))
(fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (+.f64 2 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) (*.f64 x (*.f64 -1 (+.f64 (-.f64 1 eps) eps))))))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (fma.f64 x (-.f64 (neg.f64 (-.f64 1 eps)) eps) 2)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3))))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (fma.f64 x (-.f64 (+.f64 -1 eps) eps) 2)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (*.f64 x eps) (*.f64 0 x))) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (*.f64 x eps)))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(fma.f64 -1 (*.f64 x eps) x)
(-.f64 x (*.f64 x eps))
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(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (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)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (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)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 2 eps))))
(/.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))
(/.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
1
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
1
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (*.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
1
(/.f64 (-.f64 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 x x)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 x x)) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (+.f64 (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (fma.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 x (-.f64 x (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)) (fma.f64 x (neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (+.f64 x (pow.f64 (exp.f64 x) (+.f64 1 eps))) (+.f64 x (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 (pow.f64 (exp.f64 x) (+.f64 1 eps)) -1)
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 2)
(pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 2 (*.f64 2 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1/2)
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1/3)
(cbrt.f64 (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 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 -1) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 -1) (fma.f64 x eps x))
(pow.f64 (exp.f64 -1) (/.f64 (+.f64 x (*.f64 x eps)) 2))
(pow.f64 (exp.f64 -1) (/.f64 (fma.f64 x eps x) 2))
(pow.f64 (exp.f64 -1) (*.f64 2 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 -1) (*.f64 2 (fma.f64 x eps x)))
(pow.f64 (exp.f64 -1) (*.f64 (+.f64 x (*.f64 x eps)) 3))
(pow.f64 (exp.f64 -1) (*.f64 3 (fma.f64 x eps x)))
(pow.f64 (*.f64 (exp.f64 -1) (exp.f64 -1)) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 -2) (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(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 (+.f64 -1 eps)) x)
(exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))
(pow.f64 (exp.f64 (neg.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 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 -1) (+.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fabs.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(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 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))
(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 (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))
(hypot.f64 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(hypot.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(fma.f64 1 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(fma.f64 0 x (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(fma.f64 0 0 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)
(pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 2 (*.f64 2 eps)))

localize42.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 112 to 81 computations (27.7% saved)

eval643.0ms (4.8%)

Compiler

Compiled 23494 to 15690 computations (33.2% saved)

prune235.0ms (1.8%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New91611927
Fresh6511
Picked101
Done325
Total92618944
Error
0b
Counts
944 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
40.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
14.9b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (fma.f64 1/2 (*.f64 x x) -1)) 2)
54.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2)
45.5b
(/.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)
1.2b
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
1.2b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
16.0b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2) 2)
15.3b
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
15.3b
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) 2)
15.1b
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2)
15.5b
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
61.8b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
14.9b
(/.f64 2 2)
48.2b
(/.f64 0 2)
Compiler

Compiled 564 to 446 computations (20.9% saved)

localize19.0ms (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)

localize14.0ms (0.1%)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 12 computations (55.6% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

12 calls:

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

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1710×add-sqr-sqrt
1694×*-un-lft-identity
1572×add-cube-cbrt
1552×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
117728
2212028
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(exp.f64 (*.f64 eps x))
(+.f64 1 (exp.f64 (*.f64 eps x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))) (/.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps)) (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) 1) (expm1.f64 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 1)))))

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
1752×associate-/l*
954×associate-/r*
874×unswap-sqr
588×fma-def
540×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381939
13181799
212701775
348511775
Stop Event
node limit
Counts
71 → 91
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
2
(+.f64 2 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
2
(+.f64 2 (*.f64 eps x))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(*.f64 (pow.f64 (exp.f64 x) eps) 1)
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)
(pow.f64 (E.f64) (*.f64 eps x))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)))
(pow.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))) (/.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) 1))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps)) (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) 1) (expm1.f64 (*.f64 eps x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 1)
Outputs
1
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 eps x)))
(fma.f64 eps x (fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 eps x (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps x))))
(+.f64 1 (fma.f64 eps x (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (fma.f64 eps x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))
1
(+.f64 1 (*.f64 eps x))
(fma.f64 eps x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 eps x)))
(fma.f64 eps x (fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) 1))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 eps x (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps x))))
(+.f64 1 (fma.f64 eps x (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (fma.f64 eps x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))
2
(+.f64 2 (*.f64 eps x))
(+.f64 (*.f64 eps x) 2)
(fma.f64 eps x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 eps x)))
(fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) (fma.f64 eps x 2))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (fma.f64 eps x 2))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 eps x (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps x))))
(+.f64 2 (fma.f64 eps x (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (fma.f64 eps x 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))
2
(+.f64 2 (*.f64 eps x))
(+.f64 (*.f64 eps x) 2)
(fma.f64 eps x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps x)))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 eps x)))
(fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) (fma.f64 eps x 2))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (fma.f64 eps x 2))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps x) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 eps x (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps x))))
(+.f64 2 (fma.f64 eps x (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))))
(+.f64 (fma.f64 eps x 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(*.f64 (pow.f64 (exp.f64 x) eps) 1)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(*.f64 1 (pow.f64 (exp.f64 x) eps))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2))))
(pow.f64 (pow.f64 (exp.f64 x) eps) 1)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 2)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 3)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (E.f64) (*.f64 eps x))
(pow.f64 (exp.f64 x) eps)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 1/3)
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)) (cbrt.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)))
(pow.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 eps) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)))
(pow.f64 (exp.f64 eps) x)
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) 0)
(pow.f64 (exp.f64 x) eps)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))) 1)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))) (/.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(*.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) 1))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) 1) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (fma.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)) 1))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps)) (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) 1) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (fma.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) 1) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (fma.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)) 1))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2)) (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (-.f64 1 (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 eps) (*.f64 x 2)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2)) (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x)) 1) (expm1.f64 (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2)) -1) (expm1.f64 (*.f64 eps x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 2 x)))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) eps))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (-.f64 1 (pow.f64 (exp.f64 x) eps)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) 1) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (fma.f64 (pow.f64 (exp.f64 x) eps) (expm1.f64 (*.f64 eps x)) 1))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 1)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(pow.f64 (hypot.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) eps))) 2)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)) 3)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3) 1/3)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 2))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1))))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1) 3))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)) 1))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) 1)))
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) 1)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) 1)
(+.f64 1 (pow.f64 (exp.f64 x) eps))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 x 2))) 1)

localize20.0ms (0.1%)

Compiler

Compiled 59 to 35 computations (40.7% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 88 to 58 computations (34.1% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite108.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1614×associate-*r/
1172×associate-*l/
1082×*-commutative
368×add-sqr-sqrt
362×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017106
136686
2523986
Stop Event
node limit
Counts
4 → 330
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (-.f64 1 eps)))
(exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps))))
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))))
(exp.f64 (*.f64 x (+.f64 -1 (neg.f64 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)) (log.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (log.f64 (cbrt.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 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 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 (+.f64 (log.f64 -1) x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (log.f64 -1)) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) 0) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (*.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (neg.f64 x)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (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> 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simplify146.0ms (1.1%)

Algorithm
egg-herbie
Rules
1024×fma-def
898×associate-*r*
730×associate-*l*
692×associate-/l*
560×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066815344
1182713466
Stop Event
node limit
Counts
426 → 492
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 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 -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))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)))
(+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1))))
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(/.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (*.f64 1 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) -1)) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (*.f64 -1 (pow.f64 (exp.f64 x) -1)) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) 1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3))) 1) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) 1) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3))) -1) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) -1) (pow.f64 (exp.f64 x) 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 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)) 1/3)
(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 x) -1) (+.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(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 (exp.f64 x) (*.f64 (+.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 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (-.f64 (*.f64 eps x) x))
(fma.f64 (+.f64 eps -1) x 1)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 1 (-.f64 (*.f64 eps x) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (fma.f64 (+.f64 eps -1) x 1))
(+.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))))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 1 (fma.f64 (+.f64 eps -1) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (fma.f64 (+.f64 eps -1) x 1)) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.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 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(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 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(+.f64 (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 (neg.f64 x)))) (*.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 (*.f64 eps x) 3)))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 (+.f64 -1 (neg.f64 eps)) 1))))
(fma.f64 x (+.f64 eps (+.f64 -1 (-.f64 -1 eps))) 2)
(+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1))))
(+.f64 2 (fma.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 (+.f64 eps -1) 2))) (*.f64 x x) (*.f64 x (+.f64 eps (-.f64 (+.f64 -1 (neg.f64 eps)) 1)))))
(+.f64 2 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 x (+.f64 eps (+.f64 -1 (-.f64 -1 eps))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)))))
(fma.f64 (fma.f64 -1/6 (pow.f64 (+.f64 eps 1) 3) (*.f64 1/6 (pow.f64 (+.f64 eps -1) 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 (+.f64 eps -1) 2))) (*.f64 x x) (*.f64 x (+.f64 eps (-.f64 (+.f64 -1 (neg.f64 eps)) 1))))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (pow.f64 (+.f64 eps 1) 2))) (*.f64 x (+.f64 eps (+.f64 -1 (-.f64 -1 eps))))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 eps -1) 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3))) 2))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(*.f64 2 (exp.f64 (*.f64 -1 x)))
(*.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 2 (exp.f64 x))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (*.f64 0 (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 eps 0 (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 2 (exp.f64 (*.f64 -1 x)))))
(fma.f64 eps (*.f64 0 (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 eps 0 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps) (/.f64 2 (exp.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))) (*.f64 2 (exp.f64 (*.f64 -1 x))))))
(fma.f64 eps (*.f64 0 (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) 0) (*.f64 2 (exp.f64 (neg.f64 x))))))
(fma.f64 eps 0 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) 0 (/.f64 2 (exp.f64 x)))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (*.f64 -1 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)))) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (*.f64 3 (+.f64 eps 1))))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 3 eps))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (*.f64 -1 (pow.f64 (exp.f64 x) -1)) (pow.f64 (exp.f64 x) eps))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) eps))
(/.f64 -1 (exp.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) 1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3))) 1) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (*.f64 3 (+.f64 eps 1)))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 3 eps)))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) 1) (pow.f64 (exp.f64 x) eps))
(exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3))) -1) (+.f64 (+.f64 0 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 0)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (*.f64 3 (+.f64 eps 1))))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 3 eps))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) -1) (pow.f64 (exp.f64 x) eps))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) eps))
(/.f64 -1 (exp.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 (+.f64 eps 1))))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 3 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(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 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 x) -1) (+.f64 1 eps))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (+.f64 eps 1)))
(neg.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 1 eps) 3)))
(cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 3 (+.f64 eps 1))))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 3 (*.f64 3 eps))))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 x) (+.f64 eps 1))

eval278.0ms (2.1%)

Compiler

Compiled 17476 to 10286 computations (41.1% saved)

prune241.0ms (1.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New6894693
Fresh3811
Picked101
Done066
Total69318711
Error
0b
Counts
711 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
1.8b
(/.f64 (/.f64 2 (exp.f64 x)) 2)
45.8b
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
40.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
14.9b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
15.7b
(/.f64 (-.f64 (+.f64 1 (-.f64 (*.f64 eps x) x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (fma.f64 1/2 (*.f64 x x) -1)) 2)
54.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
15.2b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2)
12.4b
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
1.2b
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) 2)
15.3b
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
15.3b
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
15.3b
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) 2)
15.1b
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2)
61.8b
(/.f64 (*.f64 (neg.f64 eps) x) 2)
14.9b
(/.f64 2 2)
48.2b
(/.f64 0 2)
Compiler

Compiled 266 to 208 computations (21.8% saved)

regimes79.0ms (0.6%)

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

4 calls:

20.0ms
eps
19.0ms
x
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.6b1x
0.6b1eps
0.6b1(/.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)
0.6b1(-.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 794 to 558 computations (29.7% saved)

regimes370.0ms (2.8%)

Counts
38 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x (neg.f64 eps)) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (fma.f64 1/2 (*.f64 x x) -1)) 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 1 (-.f64 (*.f64 eps x) x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x)))) 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 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 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 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.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)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) 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)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

4 calls:

21.0ms
eps
19.0ms
x
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.6b1x
0.6b1eps
0.6b1(/.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)
0.6b1(-.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 685 to 482 computations (29.6% saved)

regimes76.0ms (0.6%)

Counts
28 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x (neg.f64 eps)) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1)) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (fma.f64 1/2 (*.f64 x x) -1)) 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 1 (-.f64 (*.f64 eps x) x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x)))) 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 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
Outputs
(/.f64 (/.f64 2 (exp.f64 x)) 2)
Calls

2 calls:

52.0ms
eps
13.0ms
x
Results
ErrorSegmentsBranch
1.8b1x
1.8b1eps
Compiler

Compiled 412 to 290 computations (29.6% saved)

regimes30.0ms (0.2%)

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

2 calls:

15.0ms
eps
12.0ms
x
Results
ErrorSegmentsBranch
1.1b2x
13.7b3eps
Compiler

Compiled 99 to 78 computations (21.2% saved)

bsearch112.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
112.0ms
1.1816383167521772e-8
71.844999290022
Results
76.0ms90×body1024valid
12.0ms35×body512valid
9.0ms62×body256infinite
5.0msbody2048valid
5.0ms28×body256valid
Compiler

Compiled 236 to 209 computations (11.4% saved)

regimes56.0ms (0.4%)

Accuracy

Total -61.2b remaining (-5546.3%)

Threshold costs -61.2b (-5546.3%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 x (neg.f64 eps)) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 (*.f64 eps x) 2) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 2) 2)
Outputs
(/.f64 2 2)
(/.f64 0 2)
Calls

2 calls:

46.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
1.1b2x
13.7b3eps
Compiler

Compiled 44 to 33 computations (25% saved)

bsearch68.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
71.844999290022
867789186124.8378
Results
28.0ms59×body1024valid
15.0ms72×body256valid
11.0ms66×body256infinite
7.0ms24×body512valid
4.0msbody2048valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
84×distribute-lft-neg-in
84×*-commutative
62×+-commutative
48×neg-sub0
42×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041196
164188
296184
3142184
4187184
5215184
6240184
7270184
8292184
9301184
10303184
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.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 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2) (/.f64 0 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.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 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (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)) (/.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)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(if (<=.f64 x 2) (/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) -1) 2) (/.f64 0 2))
(if (<=.f64 x 2) (/.f64 (+.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) 1) 2) 0)
(if (<=.f64 x 2) (/.f64 (+.f64 1 (+.f64 1 (*.f64 (*.f64 x x) -1/2))) 2) 0)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 77 to 53 computations (31.2% saved)

soundness147.0ms (1.1%)

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
Compiler

Compiled 148 to 114 computations (23% saved)

end39.0ms (0.3%)

Compiler

Compiled 67 to 42 computations (37.3% saved)

Profiling

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