Details

Time bar (total: 15.0s)

analyze192.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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 (21.6%)

Results
1.3s2119×body1024valid
1.1s4860×body256valid
391.0ms1051×body512valid
239.0ms226×body2048valid
89.0ms461×body256infinite
61.0ms382×body256unsamplable
7.0ms14×body1024infinite
4.0ms12×body512infinite
Bogosity

preprocess45.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037178
1106178
2302146
3950146
43341146
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (neg.f64 (-.f64 1 x)) eps))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (*.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 x))) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 x 1)) eps) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify43.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New336
Fresh101
Picked000
Done000
Total437
Error
44.38%
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
64.89%
(/.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)
44.42%
(/.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)
44.5%
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
Compiler

Compiled 89 to 68 computations (23.6% saved)

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(exp.f64 (fma.f64 eps x x))
0.04%
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
7.82%
(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
3 → 56
Calls

18 calls:

TimeVariablePointExpression
2.0ms
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))))
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
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))))

rewrite116.0ms (0.8%)

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
019111
1396103
25280103
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
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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simplify118.0ms (0.8%)

Algorithm
egg-herbie
Rules
1134×associate-*r/
1076×+-commutative
792×associate--l+
752×associate--r+
646×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03698419
110937805
248987585
Stop Event
node limit
Counts
137 → 204
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)))))
(-.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)))))
(-.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)))))
(-.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)))))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (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)))))
(+.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))
(+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(-.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)
(-.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))))))
(-.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)
(-.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)
(*.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)))))
(*.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)
(*.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))))))
(*.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))
(*.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))))))
(/.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)))))
(/.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))))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) 1) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) 1) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.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 (/.f64 1 eps) -1) (/.f64 -1 (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 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.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)))))
(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))
(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))))
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (*.f64 (+.f64 x 1) (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)))
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2
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1
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(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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(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
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(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
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(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))))))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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)))))))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps 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))))))
(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))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(*.f64 (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 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(*.f64 (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 (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 (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 (/.f64 1 eps) -1) (/.f64 -1 (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 -1 (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (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 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 (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 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 x eps x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)
(/.f64 1 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 1 eps)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))
(fabs.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x))))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 x eps x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(exp.f64 (fma.f64 eps x x))
(exp.f64 (fma.f64 x eps x))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.03%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.04%
(*.f64 (-.f64 1 eps) (neg.f64 x))
3.91%
(-.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)

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite219.0ms (1.5%)

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 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))))
Outputs
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simplify397.0ms (2.6%)

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
1252237899
Stop Event
node limit
Counts
417 → 573
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))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
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2
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(/.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)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 1 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (-.f64 1 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(+.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1))
(+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(-.f64 0 (-.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 0) (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 -1 (pow.f64 eps -2))) (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))))
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)))))
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2
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(exp.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(exp.f64 (+.f64 x (+.f64 (*.f64 x eps) (log.f64 (+.f64 -1 (/.f64 1 eps))))))
(exp.f64 (*.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(exp.f64 (+.f64 (+.f64 x (*.f64 x eps)) (log.f64 (+.f64 -1 (/.f64 1 eps)))))
(exp.f64 (+.f64 x (+.f64 (*.f64 x eps) (log.f64 (+.f64 -1 (/.f64 1 eps))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x))

localize87.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))
0.03%
(*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)))
0.79%
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
5.06%
(-.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)

series84.0ms (0.6%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
39.0ms
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)))))
23.0ms
eps
@inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
9.0ms
eps
@-inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
6.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
2.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

rewrite149.0ms (1%)

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
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simplify199.0ms (1.3%)

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)))))
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(+.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)))
(+.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))) 1)
(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))
(/.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) 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 (*.f64 (+.f64 1 eps) x))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (exp.f64 (*.f64 (+.f64 1 eps) x))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) 1) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (exp.f64 (*.f64 (+.f64 1 eps) x))))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))))
(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)))
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2
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1
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(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 1)
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2)
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 3)
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3) 1/3)
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps)))) 2))
(fabs.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))))))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) 3))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)) 1))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 eps 1)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))
(+.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)))

eval1.3s (8.9%)

Compiler

Compiled 59655 to 40683 computations (31.8% saved)

prune476.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1189101199
Fresh000
Picked101
Done202
Total1192101202
Error
0%
Counts
1202 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
73.19%
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.21%
(/.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)
0.21%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
73.02%
(/.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)
73.09%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
73.07%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1))))) -1)) 2)
1.99%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
21.54%
(/.f64 (+.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)))))) 2)
29.47%
(/.f64 2 2)
69.25%
(*.f64 1/2 0)
Compiler

Compiled 516 to 386 computations (25.2% saved)

localize57.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
0.01%
(*.f64 (exp.f64 (*.f64 -1 x)) x)
0.01%
(+.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)

series4.0ms (0%)

Counts
3 → 16
Calls

9 calls:

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

rewrite364.0ms (2.4%)

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
((#(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 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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) 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simplify68.0ms (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)))
(*.f64 (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) (+.f64 x 1))
(exp.f64 (+.f64 x (log1p.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 1 x))) 2))
(*.f64 (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 1 (*.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 1 (-.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 -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)))))
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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 (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)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.04%
(*.f64 (-.f64 1 eps) (neg.f64 x))
8.33%
(-.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
1 → 24
Calls

6 calls:

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

rewrite103.0ms (0.7%)

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
01557
133651
2472749
Stop Event
node limit
Counts
1 → 133
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))
Outputs
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simplify156.0ms (1%)

Algorithm
egg-herbie
Rules
1200×associate-+l-
1190×associate-*r/
1162×associate-+r-
646×fma-def
592×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042715413
1127614431
2512114283
Stop Event
node limit
Counts
157 → 269
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))
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(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
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(-.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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2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
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(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
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(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) 1)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) 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 (+.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)))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.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 1 (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (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 (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 1 (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (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 (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 1 (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) (/.f64 1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (/.f64 (-.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) eps)))
2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(fma.f64 -1 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) x) 2)
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) x) 2) (*.f64 1/2 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 x x))))
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps)))) 2))
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) (fma.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 eps)) x) 2) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 1 eps) 2) (+.f64 1 (/.f64 1 eps)))) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) (+.f64 -1/6 (*.f64 -1/6 (/.f64 1 eps))))))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2) (fma.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)) (+.f64 -1/6 (/.f64 -1/6 eps)))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
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(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))))
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(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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (/.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)))
(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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (/.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 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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (/.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 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 (/.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)))
(+.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)))

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))
0.04%
(*.f64 (-.f64 1 eps) x)
0.07%
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
5.46%
(-.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)))))
Compiler

Compiled 151 to 109 computations (27.8% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

18 calls:

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

rewrite121.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
684×associate-+r+
508×add-sqr-sqrt
502×pow1
502×*-un-lft-identity
470×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021135
1489115
27352115
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
(*.f64 (-.f64 1 eps) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 eps x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 eps x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (neg.f64 x)) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 eps -1) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (neg.f64 x))))))

simplify175.0ms (1.2%)

Algorithm
egg-herbie
Rules
1488×associate-+r-
1250×fma-def
898×associate-*r*
782×+-commutative
766×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054515928
1173614494
2799414318
Stop Event
node limit
Counts
248 → 366
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 eps x)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))) (*.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 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.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 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2)))))))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (+.f64 1 (*.f64 -1 x)) eps)
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) (+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 1))
(+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 x) (+.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
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(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 eps -1) x 1)) (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1))))
(exp.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(+.f64 (+.f64 x (*.f64 eps x)) 0)
(+.f64 0 (+.f64 x (*.f64 eps x)))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 eps x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 (*.f64 eps x) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 eps x) 1))
(+.f64 (+.f64 0 x) (*.f64 eps x))
(+.f64 (+.f64 0 (*.f64 eps x)) (neg.f64 x))
(+.f64 (+.f64 0 (neg.f64 x)) (*.f64 eps x))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) (*.f64 (neg.f64 x) 1))
(-.f64 (fma.f64 (+.f64 eps -1) x 1) 1)
(-.f64 0 (+.f64 x (*.f64 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 x (fma.f64 eps eps -1)) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (+.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 (fma.f64 eps eps -1) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps x) (neg.f64 x)))))
(pow.f64 (+.f64 x (*.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 eps x)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 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)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 eps x (neg.f64 x))
(fma.f64 x eps (neg.f64 x))
Outputs
(/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (+.f64 1 (-.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps)
(/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps)
(/.f64 (-.f64 1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (neg.f64 (/.f64 x eps))) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 1 eps) (-.f64 (-.f64 1 (/.f64 x eps)) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))) (neg.f64 (/.f64 x eps))) (-.f64 1 (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps (-.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (+.f64 (*.f64 -1 (/.f64 x eps)) x)))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps (-.f64 x (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (fma.f64 -1 x (fma.f64 -1 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 -1/6 (exp.f64 (neg.f64 x))) (pow.f64 x 3)))) (fma.f64 -1 (/.f64 x eps) x))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))))
(+.f64 (/.f64 1 eps) (+.f64 1 (-.f64 (fma.f64 eps (-.f64 x (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2)))) (-.f64 (*.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) -1/2) (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))) (neg.f64 (*.f64 eps eps))) (/.f64 x eps))) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 1 (-.f64 (fma.f64 eps x (*.f64 0 x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 eps x (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 x eps (neg.f64 (/.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))) (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (+.f64 (/.f64 1 eps) (-.f64 (+.f64 (-.f64 1 (/.f64 x eps)) (*.f64 x eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 x (*.f64 -1 (/.f64 x eps))))))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 eps x (+.f64 (*.f64 0 x) (/.f64 (neg.f64 x) eps)))) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))))
(+.f64 (+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 x eps (neg.f64 (/.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) eps))) (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (+.f64 (/.f64 1 eps) (-.f64 (+.f64 (-.f64 1 (/.f64 x eps)) (*.f64 x eps)) (/.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) eps))) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(*.f64 eps x)
(*.f64 x eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(+.f64 1 (-.f64 (fma.f64 eps x (*.f64 0 x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))))
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
(+.f64 1 (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 (neg.f64 x)) (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))) eps) (fma.f64 eps x (*.f64 0 x))) (neg.f64 (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 (+.f64 x (exp.f64 (*.f64 x (-.f64 -1 eps))))) eps)) (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 (+.f64 x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) eps)) (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps)) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 (neg.f64 x)) (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))) eps) (fma.f64 eps x (*.f64 0 x))) (neg.f64 (pow.f64 (exp.f64 (fma.f64 -1 eps -1)) x))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 (+.f64 x (exp.f64 (*.f64 x (-.f64 -1 eps))))) eps)) (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 -1 (+.f64 x (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) eps)) (+.f64 (*.f64 x eps) (pow.f64 (exp.f64 x) (-.f64 -1 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 -1 (/.f64 1 eps)) (+.f64 1 eps)))) x 2)
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 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) (+.f64 2 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))) x 2) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x x)))))
(fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) (fma.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 x eps x) 2)) 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 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 x 2)))))))
(+.f64 (fma.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps)))) x 2) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (pow.f64 x 3) (+.f64 -1 (/.f64 1 eps)))) (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x x))))))
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2) (fma.f64 1/6 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 x eps x) 3)) (*.f64 -1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (fma.f64 x eps x) 2)))))
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x)))
(neg.f64 (*.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) x))
(neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (*.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) x) 1) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps)))))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps))))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (-.f64 1 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 1)) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(+.f64 (/.f64 1 eps) (-.f64 (fma.f64 -1 (*.f64 (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))) x) 1) (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 -1 (/.f64 1 eps)))))
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(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (fma.f64 x eps x) 2))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (fma.f64 (+.f64 eps -1) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (fma.f64 eps x x) 2))) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps x) 3)) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (fma.f64 x eps x) 2))) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 1)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 eps -1) x 1)) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1))) 3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 3) 1/3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1)) 2))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 eps -1) x 1)) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1)) 3))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(exp.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 x eps x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 eps x x)) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 (fma.f64 x eps x)) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x 1))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps)))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (+.f64 x (*.f64 eps x)) 0)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 0 (+.f64 x (*.f64 eps x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (neg.f64 x) (*.f64 eps x))
(-.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 (*.f64 eps x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 eps x) 1))
(-.f64 (*.f64 x eps) x)
(+.f64 (+.f64 0 x) (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x eps x)
(+.f64 (+.f64 0 (*.f64 eps x)) (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(+.f64 (+.f64 0 (neg.f64 x)) (*.f64 eps x))
(-.f64 (*.f64 x eps) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) 1)) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x eps) x)
(-.f64 (fma.f64 (+.f64 eps -1) x 1) 1)
(-.f64 (*.f64 x eps) x)
(-.f64 0 (+.f64 x (*.f64 eps x)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 1 eps)) x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 eps))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 1 eps) x))
(*.f64 (/.f64 (fma.f64 eps eps -1) (+.f64 1 eps)) x)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 -1 (pow.f64 eps 3)))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 1 eps) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 1 eps)) x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 eps))
(/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 1 eps) x))
(*.f64 (/.f64 (fma.f64 eps eps -1) (+.f64 1 eps)) x)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 -1 (pow.f64 eps 3)))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps x) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 x eps) (neg.f64 (*.f64 x x))) (-.f64 (*.f64 x eps) (neg.f64 x)))
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 eps eps)) x)) (fma.f64 x eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 x eps) (*.f64 x eps) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 eps (*.f64 x (*.f64 x eps)) (*.f64 x (fma.f64 x eps x))))
(pow.f64 (+.f64 x (*.f64 eps x)) 1)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)
(fma.f64 eps x x)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)
(fma.f64 eps x x)
(fma.f64 x eps x)
(neg.f64 (+.f64 x (*.f64 eps x)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(fabs.f64 (fma.f64 x eps x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))
(fma.f64 eps x x)
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))
(fma.f64 eps x x)
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 eps x x)
(fma.f64 x eps x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))
0.01%
(*.f64 x (+.f64 -1 (neg.f64 eps)))
0.04%
(*.f64 x (neg.f64 (-.f64 1 eps)))
Compiler

Compiled 88 to 58 computations (34.1% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
2064×add-sqr-sqrt
2048×*-un-lft-identity
1904×add-cube-cbrt
288×pow1
270×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01451
129643
2402143
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.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 0 (+.f64 x (*.f64 x eps)))))) (#(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 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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) (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 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x eps))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))) (cbrt.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 eps))) (hypot.f64 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))))))

simplify65.0ms (0.4%)

Algorithm
egg-herbie
Rules
1196×distribute-lft-in
1194×unswap-sqr
1122×distribute-rgt-in
834×*-commutative
798×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01903492
15263024
221193010
Stop Event
node limit
Counts
162 → 141
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))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(+.f64 x (*.f64 x eps))
(+.f64 0 (+.f64 x (*.f64 x eps)))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 0 (+.f64 x (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 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 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(+.f64 x (*.f64 x eps))
(+.f64 0 (+.f64 x (*.f64 x eps)))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 0 (+.f64 x (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 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 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x 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))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 (pow.f64 (exp.f64 x) -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 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x 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)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 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 (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 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)
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(neg.f64 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1))))
(-.f64 1 (fma.f64 eps x x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)))))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (*.f64 1/2 (pow.f64 (fma.f64 eps x x) 2)))
(+.f64 1 (fma.f64 1/2 (pow.f64 (fma.f64 eps x x) 2) (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1 (*.f64 x (+.f64 eps 1)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (fma.f64 1/2 (pow.f64 (fma.f64 eps x x) 2) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)) (*.f64 1/2 (pow.f64 (fma.f64 eps x x) 2))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (/.f64 x (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x))) (*.f64 eps (/.f64 x (exp.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (*.f64 eps eps))) 1) (exp.f64 (neg.f64 x))) (*.f64 eps (/.f64 x (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x)))) (*.f64 eps (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (*.f64 eps x) 3) (exp.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (*.f64 eps eps))) 1) (exp.f64 (neg.f64 x)))) (*.f64 eps (/.f64 x (exp.f64 x))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 0 (+.f64 x (*.f64 x eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) (neg.f64 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 eps x) 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)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 eps 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 (*.f64 eps x) x)
(-.f64 0 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
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(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 -1 (pow.f64 eps 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)) x)
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 1 (pow.f64 eps 3)))
(*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)) x)
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(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
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(*.f64 x (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 (neg.f64 x) (*.f64 eps x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 eps (*.f64 eps x)))) (neg.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 eps (*.f64 eps x)))) (*.f64 x (-.f64 -1 eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 eps x) (fma.f64 eps x x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 eps (fma.f64 eps x x)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
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(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 -1 x (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 0 (+.f64 x (*.f64 x eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) (neg.f64 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 eps x) 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)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 eps 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 (*.f64 eps x) x)
(-.f64 0 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 -1 (pow.f64 eps 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)) x)
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 1 (pow.f64 eps 3)))
(*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)) x)
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(*.f64 (/.f64 x (+.f64 (fma.f64 eps eps 1) eps)) (+.f64 -1 (pow.f64 eps 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 eps 3)) (+.f64 eps (fma.f64 eps eps 1))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 eps eps))) (-.f64 (neg.f64 x) (*.f64 eps x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 eps (*.f64 eps x)))) (neg.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 eps (*.f64 eps x)))) (*.f64 x (-.f64 -1 eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 eps x) (fma.f64 eps x x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 eps (fma.f64 eps x x)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 -1 x (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(*.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 eps 1))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 eps 2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 eps 2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(exp.f64 (-.f64 (*.f64 eps x) x))
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(/.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(/.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (fma.f64 eps x 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 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 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (E.f64) (+.f64 x (*.f64 eps x)))
(pow.f64 (E.f64) (fma.f64 eps x x))
(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 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (cbrt.f64 (+.f64 x (*.f64 eps x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 eps x x) 2))) (cbrt.f64 (fma.f64 eps x 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 (+.f64 x (*.f64 eps x)))) (sqrt.f64 (+.f64 x (*.f64 eps x))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(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)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 1 eps))))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 (*.f64 eps 2))))
(fabs.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(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 (pow.f64 (exp.f64 x) (+.f64 1 eps)) 3))
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(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))

eval845.0ms (5.6%)

Compiler

Compiled 43740 to 31835 computations (27.2% saved)

prune333.0ms (2.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1196121208
Fresh235
Picked101
Done224
Total1201171218
Error
0%
Counts
1218 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
97.43%
(/.f64 (/.f64 (-.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) eps) 2)
0.21%
(/.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)
29.26%
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 2)
0.21%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
59.59%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
73.86%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
75.52%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
30.13%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
22.69%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
2.54%
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
21.54%
(/.f64 (+.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)))))) 2)
29.9%
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
30.14%
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps)))) 2)
96.74%
(/.f64 (*.f64 x eps) 2)
97.07%
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
29.47%
(/.f64 2 2)
69.25%
(*.f64 1/2 0)
Compiler

Compiled 632 to 470 computations (25.6% saved)

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(*.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)))

rewrite52.0ms (0.3%)

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)))))))))

simplify64.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(*.f64 (-.f64 1 eps) x)
0.07%
(*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1))
0.24%
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
18%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1)))
Compiler

Compiled 194 to 149 computations (23.2% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
558×add-sqr-sqrt
552×pow1
552×*-un-lft-identity
518×add-cbrt-cube
518×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022116
153198
Stop Event
node limit
Counts
2 → 75
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1)))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
Outputs
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simplify172.0ms (1.1%)

Algorithm
egg-herbie
Rules
1324×associate--r+
1042×+-commutative
702×associate-+l-
678×associate--l+
654×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02738867
18327753
236827411
Stop Event
node limit
Counts
123 → 161
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 -1 x) x) eps)
(+.f64 (*.f64 2 x) (+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps))))))
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2
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(*.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 2) (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 2)) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))) (-.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))) (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 2)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))) (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps))) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))) 2)) (+.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) (pow.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (-.f64 (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))) (*.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) 3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))) 3)) (+.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps))) (+.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))) 2) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 3) (pow.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) 2) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))))
(pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (/.f64 -1 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(fma.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(fma.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (-.f64 1 eps) x))) (hypot.f64 1 (pow.f64 eps -1/2))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 1 eps) x)))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 -1 x (/.f64 x eps)))))))
(+.f64 (neg.f64 x) (/.f64 x eps))
(+.f64 (/.f64 x eps) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (/.f64 x eps) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1 x (/.f64 x eps)))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) x) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) x) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 x eps) (/.f64 x eps))) (-.f64 (neg.f64 x) (/.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (/.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (/.f64 x eps) (/.f64 x eps)) (*.f64 (neg.f64 x) (/.f64 x eps)))))
(pow.f64 (fma.f64 -1 x (/.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1 x (/.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1 x (/.f64 x eps))) 3)
(pow.f64 (pow.f64 (fma.f64 -1 x (/.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1 x (/.f64 x eps)) 2))
(log.f64 (exp.f64 (fma.f64 -1 x (/.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 x (/.f64 x eps)))))
(cbrt.f64 (pow.f64 (fma.f64 -1 x (/.f64 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 -1 x (/.f64 x eps))))
(exp.f64 (log.f64 (fma.f64 -1 x (/.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1 x (/.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1 x (/.f64 x eps))))
(fma.f64 -1 x (/.f64 x eps))
(fma.f64 x -1 (/.f64 x eps))
Outputs
(/.f64 (+.f64 (*.f64 -1 x) x) eps)
(/.f64 (*.f64 0 x) eps)
0
(+.f64 (*.f64 2 x) (+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps))))))
(fma.f64 2 x (+.f64 2 (fma.f64 -2 x (*.f64 0 (/.f64 x eps)))))
2
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps)))))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps)))))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(*.f64 eps (+.f64 (*.f64 -1 x) x))
(*.f64 (*.f64 0 x) eps)
(*.f64 eps 0)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 (*.f64 2 x) (+.f64 2 (*.f64 -2 x))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps)))))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 x) (+.f64 (/.f64 x eps) (*.f64 -1 (/.f64 x eps)))))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) x)))
(*.f64 (*.f64 0 x) eps)
(*.f64 eps 0)
(+.f64 (*.f64 2 x) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) x))))))
(fma.f64 eps (*.f64 0 x) (+.f64 2 (fma.f64 2 x (fma.f64 -2 x (*.f64 0 (/.f64 x eps))))))
(fma.f64 eps 0 2)
(+.f64 2 (+.f64 (*.f64 2 x) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1 x) x))) (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) eps))))))
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(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)
(exp.f64 (log.f64 (fma.f64 -1 x (/.f64 x eps))))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1 x (/.f64 x eps))) 1))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)
(log1p.f64 (expm1.f64 (fma.f64 -1 x (/.f64 x eps))))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)
(fma.f64 -1 x (/.f64 x eps))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)
(fma.f64 x -1 (/.f64 x eps))
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
(-.f64 (/.f64 x eps) x)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
0.01%
(+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))
0.01%
(exp.f64 (*.f64 x (-.f64 -1 eps)))
0.01%
(*.f64 x (-.f64 -1 eps))
Compiler

Compiled 60 to 36 computations (40% saved)

series5.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite122.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1648×associate-*r/
1356×associate-*l/
330×associate-+l+
304×associate-/r*
286×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01386
128086
2368886
Stop Event
node limit
Counts
4 → 247
Calls
Call 1
Inputs
(*.f64 x (-.f64 -1 eps))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))))
Outputs
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eps))))))))
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simplify192.0ms (1.3%)

Algorithm
egg-herbie
Rules
1178×+-commutative
1022×associate-/l*
774×associate-*r*
634×associate-*l*
610×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068716033
1181315491
2785415491
Stop Event
node limit
Counts
343 → 414
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
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(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
1
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(exp.f64 (*.f64 -1 x))
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(*.f64 eps x)
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2
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(*.f64 eps x)
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(exp.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)))
(fma.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
Outputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (*.f64 x (-.f64 -1 eps)))
(-.f64 1 (fma.f64 eps x x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x))) (*.f64 x (-.f64 -1 eps))))
(+.f64 (*.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2)) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (*.f64 x (-.f64 -1 eps))))
(+.f64 1 (-.f64 (fma.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (pow.f64 x 3) (*.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2))) (fma.f64 eps x x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 eps (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x))) (*.f64 x (*.f64 eps (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))) (*.f64 x (*.f64 eps (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
1
(+.f64 1 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x))
(+.f64 1 (*.f64 x (+.f64 eps (-.f64 -1 eps))))
(fma.f64 x (+.f64 eps (-.f64 -1 eps)) 1)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x)))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (+.f64 eps (-.f64 -1 eps)))))
(fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (fma.f64 x (+.f64 eps (-.f64 -1 eps)) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x))))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (+.f64 eps (-.f64 -1 eps))))))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (fma.f64 x (+.f64 eps (-.f64 -1 eps)) 1)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x)))
(fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) 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)) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
2
(+.f64 2 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 eps 1))) x))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 -1 eps))))
(fma.f64 x (+.f64 eps (-.f64 -1 eps)) 2)
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 (+.f64 eps (*.f64 -1 (+.f64 eps 1))) x)))
(+.f64 2 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (*.f64 x (+.f64 eps (-.f64 -1 eps)))))
(+.f64 (*.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2)) (fma.f64 x (+.f64 eps (-.f64 -1 eps)) 2))
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 eps 1))) x) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (fma.f64 (+.f64 eps (-.f64 -1 eps)) x (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (fma.f64 x (+.f64 eps (-.f64 -1 eps)) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
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(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (+.f64 1 (*.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 x eps (expm1.f64 (*.f64 x (-.f64 -1 eps)))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 3)) (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (fma.f64 eps x (expm1.f64 (*.f64 x (-.f64 -1 eps)))) 1))
(pow.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1) 1)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)) 2)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)) 3)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(pow.f64 (pow.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1) 3) 1/3)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 2))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1)))
(log.f64 (exp.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1) 3))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(exp.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (log1p.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1))
(exp.f64 (log1p.f64 (fma.f64 eps x (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)))
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(fma.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) 1)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(fma.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 2) (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) 1)
(+.f64 (fma.f64 x eps 1) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (fma.f64 eps x 1))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 x (*.f64 x eps))
0.01%
(exp.f64 (+.f64 x (*.f64 x eps)))
0.02%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
8.34%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1))
Compiler

Compiled 83 to 44 computations (47% saved)

series5.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite126.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1638×distribute-lft-in
908×associate-/r*
548×associate-/l*
542×associate-/r/
518×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014118
131598
2446796
Stop Event
node limit
Counts
4 → 271
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 x (*.f64 x eps)))
(+.f64 x (*.f64 x eps))
Outputs
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(fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) x)))))

simplify189.0ms (1.3%)

Algorithm
egg-herbie
Rules
1168×associate-*r*
872×associate-*l*
816×+-commutative
720×associate-+r+
718×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077322859
1225222661
Stop Event
node limit
Counts
367 → 518
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (*.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 (exp.f64 x) x) (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2)))) eps))))) (/.f64 1 eps))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (exp.f64 x) (pow.f64 x 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 (exp.f64 x) x) (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2)))) eps)))))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) 1)
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
2
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
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(*.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 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (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 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps x x))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps x))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 eps x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) x) (-.f64 1 eps)) (/.f64 (pow.f64 (*.f64 eps x) 2) (-.f64 x (*.f64 eps x))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 eps x)))) 1)
(-.f64 (+.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 eps x x)))) 1)
(-.f64 (+.f64 0 (/.f64 (/.f64 (*.f64 x x) x) (-.f64 1 eps))) (/.f64 (pow.f64 (*.f64 eps x) 2) (-.f64 x (*.f64 eps x))))
(*.f64 1 (fma.f64 eps x x))
(*.f64 x (+.f64 1 eps))
(*.f64 (fma.f64 eps x x) 1)
(*.f64 (sqrt.f64 (fma.f64 eps x x)) (sqrt.f64 (fma.f64 eps x x)))
(*.f64 (cbrt.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2) (cbrt.f64 (fma.f64 eps x x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (/.f64 (/.f64 1 x) (-.f64 1 eps)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(*.f64 (+.f64 1 eps) x)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (/.f64 1 x) (-.f64 1 eps)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))) (fma.f64 eps x x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (fma.f64 eps x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))))
(/.f64 1 (/.f64 1 (fma.f64 eps x x)))
(/.f64 (fma.f64 eps x x) (/.f64 (-.f64 x (*.f64 eps x)) (-.f64 x (*.f64 eps x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (fma.f64 eps x x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))) (/.f64 (-.f64 x (*.f64 eps x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))) (/.f64 (-.f64 x (*.f64 eps x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (-.f64 (*.f64 eps x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2))) (*.f64 (-.f64 x (*.f64 eps x)) (+.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 eps x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 eps x) 2) 3)) (*.f64 (-.f64 x (*.f64 eps x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2))) (neg.f64 (-.f64 x (*.f64 eps x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) 1) (-.f64 x (*.f64 eps x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) x) (-.f64 1 eps))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (sqrt.f64 (-.f64 x (*.f64 eps x)))) (sqrt.f64 (-.f64 x (*.f64 eps x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 eps x))) (cbrt.f64 (-.f64 x (*.f64 eps x))))) (cbrt.f64 (-.f64 x (*.f64 eps x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) 1) (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(pow.f64 (fma.f64 eps x x) 1)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(exp.f64 (log.f64 (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 1 (*.f64 eps x) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) x)
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) eps)
(/.f64 (expm1.f64 x) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (exp.f64 x) (*.f64 (exp.f64 x) x)))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 x) eps) (-.f64 (+.f64 1 (+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))) (/.f64 (expm1.f64 x) eps))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (*.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 (exp.f64 x) x) (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2)))) eps))))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 x) eps) (-.f64 (+.f64 1 (fma.f64 (exp.f64 x) x (+.f64 (exp.f64 x) (*.f64 eps (fma.f64 (exp.f64 x) x (*.f64 1/2 (*.f64 (exp.f64 x) (*.f64 x x)))))))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (fma.f64 (exp.f64 x) x (+.f64 (exp.f64 x) (*.f64 eps (fma.f64 (exp.f64 x) x (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) 1/2))))))) (/.f64 (expm1.f64 x) eps))
(-.f64 (+.f64 (/.f64 (exp.f64 x) eps) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (exp.f64 x) (pow.f64 x 3)))) (pow.f64 eps 2)) (+.f64 (*.f64 (exp.f64 x) x) (+.f64 (exp.f64 x) (*.f64 (+.f64 (*.f64 (exp.f64 x) x) (*.f64 1/2 (*.f64 (exp.f64 x) (pow.f64 x 2)))) eps)))))) (/.f64 1 eps))
(+.f64 (/.f64 (exp.f64 x) eps) (-.f64 (+.f64 1 (fma.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 1/6 (*.f64 (exp.f64 x) (pow.f64 x 3)))) (*.f64 eps eps) (fma.f64 (exp.f64 x) x (+.f64 (exp.f64 x) (*.f64 eps (fma.f64 (exp.f64 x) x (*.f64 1/2 (*.f64 (exp.f64 x) (*.f64 x x))))))))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (fma.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 (exp.f64 x) (*.f64 (pow.f64 x 3) 1/6))) (*.f64 eps eps) (fma.f64 (exp.f64 x) x (+.f64 (exp.f64 x) (*.f64 eps (fma.f64 (exp.f64 x) x (*.f64 (exp.f64 x) (*.f64 (*.f64 x x) 1/2)))))))) (/.f64 (expm1.f64 x) eps))
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) x)))
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (+.f64 1 (/.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) eps))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) 1)
(+.f64 1 (exp.f64 (fma.f64 x eps x)))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (fma.f64 x eps x))))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (fma.f64 x eps x))))
(+.f64 1 (+.f64 (exp.f64 (+.f64 (*.f64 eps x) x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (+.f64 (*.f64 eps x) x)))) eps))))
(+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (fma.f64 x eps x))))
2
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 1 eps))))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (/.f64 1 eps))))))
(+.f64 2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x) (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (fma.f64 x eps x) 2)))))
(+.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))))
(+.f64 2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x) (fma.f64 1/2 (*.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (/.f64 1 eps))) (*.f64 1/6 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 1 (/.f64 1 eps)))))))
(+.f64 2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (fma.f64 x eps x) 2)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 1 (/.f64 1 eps))))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (+.f64 (*.f64 eps x) x)))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 -1 x))))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 -1 x))))) (/.f64 1 eps))
(fma.f64 (exp.f64 (fma.f64 x eps x)) (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 -1 x))))) (/.f64 1 eps))
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(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) 1) (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x)))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x)))))) (cbrt.f64 (fma.f64 x x (*.f64 eps (*.f64 x (fma.f64 eps x (neg.f64 x)))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))
(pow.f64 (fma.f64 eps x x) 1)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)
(fma.f64 x eps x)
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (log.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))
(fma.f64 x eps x)
(log1p.f64 (expm1.f64 (fma.f64 eps x x)))
(fma.f64 x eps x)
(fma.f64 1 x (*.f64 eps x))
(fma.f64 x eps x)
(fma.f64 1 (*.f64 eps x) x)
(fma.f64 1 (*.f64 x eps) x)
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 x eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) x)
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) x)

eval869.0ms (5.8%)

Compiler

Compiled 50352 to 33863 computations (32.7% saved)

prune406.0ms (2.7%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1392111403
Fresh4610
Picked101
Done246
Total1399211420
Error
0%
Counts
1420 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
97.39%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
82.33%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
0.21%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
58%
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
0.21%
(/.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)
29.86%
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
0.21%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
29.26%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
62.62%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (/.f64 x eps))) 1))) 2)
30.13%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
22.69%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
2.54%
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
21.54%
(/.f64 (+.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)))))) 2)
53.74%
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
29.76%
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
86.05%
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
70.73%
(/.f64 (*.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
96.74%
(/.f64 (*.f64 x eps) 2)
97.07%
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
29.47%
(/.f64 2 2)
69.25%
(*.f64 1/2 0)
Compiler

Compiled 745 to 557 computations (25.2% saved)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.01%
(/.f64 (+.f64 x 1) (exp.f64 x))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (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))))))))

simplify50.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (*.f64 x eps) 2)
Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1460×add-sqr-sqrt
1434×*-un-lft-identity
1344×add-cube-cbrt
1328×add-cbrt-cube
1314×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2181013
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 (*.f64 x eps) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x eps)) (*.f64 (sqrt.f64 (*.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) (sqrt.f64 (*.f64 x (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (*.f64 (cbrt.f64 (*.f64 x eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 eps)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps 1/2))))))))

simplify43.0ms (0.3%)

Algorithm
egg-herbie
Rules
1356×associate-+r+
1138×associate-+l+
1070×associate-*r/
930×associate-/l*
750×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073692
1160692
2713686
32156686
Stop Event
node limit
Counts
52 → 31
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 eps 1/2))) 1)
(*.f64 x (*.f64 eps 1/2))
(*.f64 x (/.f64 1 (/.f64 2 eps)))
(*.f64 eps (*.f64 x 1/2))
(*.f64 (*.f64 x eps) 1/2)
(*.f64 (*.f64 x (*.f64 eps 1/2)) 1)
(*.f64 1 (*.f64 x (*.f64 eps 1/2)))
(*.f64 (sqrt.f64 (*.f64 x eps)) (*.f64 (sqrt.f64 (*.f64 x eps)) 1/2))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) (sqrt.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (*.f64 (cbrt.f64 (*.f64 x eps)) 1/2))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 x eps))
(*.f64 (*.f64 x (neg.f64 eps)) -1/2)
(*.f64 (/.f64 x 2) eps)
(pow.f64 (*.f64 x (*.f64 eps 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3) 1/3)
(pow.f64 (/.f64 2 (*.f64 x eps)) -1)
(neg.f64 (/.f64 (*.f64 x eps) -2))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps 1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps 1/2))))
Outputs
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 eps 1/2))) 1)
(*.f64 1/2 (*.f64 eps x))
(*.f64 x (*.f64 eps 1/2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 x (/.f64 1 (/.f64 2 eps)))
(*.f64 1/2 (*.f64 eps x))
(*.f64 eps (*.f64 x 1/2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (*.f64 x eps) 1/2)
(*.f64 1/2 (*.f64 eps x))
(*.f64 (*.f64 x (*.f64 eps 1/2)) 1)
(*.f64 1/2 (*.f64 eps x))
(*.f64 1 (*.f64 x (*.f64 eps 1/2)))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (sqrt.f64 (*.f64 x eps)) (*.f64 (sqrt.f64 (*.f64 x eps)) 1/2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) (sqrt.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (*.f64 (cbrt.f64 (*.f64 x eps)) 1/2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps x))
(*.f64 1/2 (*.f64 x eps))
(*.f64 1/2 (*.f64 eps x))
(*.f64 (*.f64 x (neg.f64 eps)) -1/2)
(*.f64 1/2 (*.f64 eps x))
(*.f64 (/.f64 x 2) eps)
(*.f64 1/2 (*.f64 eps x))
(pow.f64 (*.f64 x (*.f64 eps 1/2)) 1)
(*.f64 1/2 (*.f64 eps x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps 1/2))) 2)
(*.f64 1/2 (*.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps 1/2))) 3)
(*.f64 1/2 (*.f64 eps x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3) 1/3)
(*.f64 1/2 (*.f64 eps x))
(pow.f64 (/.f64 2 (*.f64 x eps)) -1)
(*.f64 1/2 (*.f64 eps x))
(neg.f64 (/.f64 (*.f64 x eps) -2))
(*.f64 1/2 (*.f64 eps x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) 1/4))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) 1/4))
(fabs.f64 (*.f64 1/2 (*.f64 eps x)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps 1/2)) 3))
(*.f64 1/2 (*.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps x))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps 1/2))) 1))
(*.f64 1/2 (*.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps 1/2))))
(*.f64 1/2 (*.f64 eps x))

localize128.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (-.f64 1 x) eps)
0.03%
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))
0.24%
(*.f64 x (+.f64 -1 (/.f64 1 eps)))
23.57%
(-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1)))
Compiler

Compiled 138 to 103 computations (25.4% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

18 calls:

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

rewrite177.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
672×associate-+l+
586×associate-+r+
576×+-commutative
458×add-sqr-sqrt
452×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018137
1434115
26841115
Stop Event
node limit
Counts
3 → 212
Calls
Call 1
Inputs
(-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1)))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))
(/.f64 (-.f64 1 x) eps)
Outputs
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simplify153.0ms (1%)

Algorithm
egg-herbie
Rules
1178×fma-def
788×+-commutative
766×associate-+r+
636×associate-+l+
574×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056421640
1172717712
Stop Event
node limit
Counts
272 → 336
Calls
Call 1
Inputs
1
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(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))))
(*.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (/.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (/.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps))) (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2)) (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (/.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3)) (+.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (-.f64 (pow.f64 eps -2) (/.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (/.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 2) (pow.f64 eps -2)) (-.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (/.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 3) 1) (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 1) (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) 1)))
(/.f64 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2))))) (*.f64 eps (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2) (+.f64 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 3))))) (*.f64 eps (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)))) (*.f64 (neg.f64 eps) (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)))) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 3)))) (*.f64 (neg.f64 eps) (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)))))
(/.f64 (+.f64 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)) eps)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2)) (neg.f64 eps)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) -1)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (neg.f64 eps)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 3)) eps) (*.f64 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2))) 1)) (*.f64 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 3)) (neg.f64 eps)) (*.f64 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2))) -1)) (*.f64 (+.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))) 2))) (neg.f64 eps)))
(pow.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 2))
(log.f64 (exp.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))))
(exp.f64 (log.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))))
(fma.f64 1 (/.f64 1 eps) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))
(fma.f64 1 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))
(fma.f64 (sqrt.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) (sqrt.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) 2) (cbrt.f64 (+.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 x -1 (/.f64 x eps))))) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))
(+.f64 (neg.f64 (/.f64 x eps)) (/.f64 1 eps))
(-.f64 (/.f64 1 eps) (/.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) eps))
(*.f64 (-.f64 1 x) (/.f64 1 eps))
(*.f64 (/.f64 (-.f64 1 x) eps) 1)
(*.f64 (/.f64 1 eps) (-.f64 1 x))
(*.f64 (pow.f64 eps -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 eps)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) (sqrt.f64 (/.f64 (-.f64 1 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 eps)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) eps)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 -1 eps))
(*.f64 (*.f64 (-.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))
(*.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) eps)))
(pow.f64 (/.f64 (-.f64 1 x) eps) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 3)
(pow.f64 (/.f64 eps (-.f64 1 x)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) eps)))
(fma.f64 1 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))
Outputs
1
(+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(+.f64 1 (*.f64 (-.f64 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (/.f64 1 eps)) x)
(*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x)
(*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x)
(+.f64 1 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(+.f64 1 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(+.f64 1 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)) (/.f64 1 eps)) x))
(+.f64 1 (*.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (neg.f64 (/.f64 1 eps))) x))
(fma.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) (/.f64 -1 eps)) x 1)
(*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))
(neg.f64 (*.f64 x (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))))))
(*.f64 x (neg.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))))
(-.f64 1 (*.f64 x (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))))
(-.f64 1 (*.f64 x (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))
(+.f64 1 (neg.f64 (*.f64 x (+.f64 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))))
(-.f64 1 (*.f64 x (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))))))
(+.f64 1 (+.f64 (*.f64 -1 x) x))
1
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1 x) x)))
(fma.f64 -1 (*.f64 eps x) (+.f64 1 (*.f64 0 x)))
(fma.f64 (neg.f64 eps) x 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1 x) x)))
(fma.f64 -1 (*.f64 eps x) (+.f64 1 (*.f64 0 x)))
(fma.f64 (neg.f64 eps) x 1)
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(/.f64 (-.f64 1 x) eps)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) 2)
(/.f64 (-.f64 1 x) eps)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 3)
(/.f64 (-.f64 1 x) eps)
(pow.f64 (/.f64 eps (-.f64 1 x)) -1)
(/.f64 (-.f64 1 x) eps)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3) 1/3)
(/.f64 (-.f64 1 x) eps)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 eps)))
(/.f64 (-.f64 1 x) eps)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 2))
(fabs.f64 (/.f64 (-.f64 1 x) eps))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))
(/.f64 (-.f64 1 x) eps)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) eps))))
(/.f64 (-.f64 1 x) eps)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3))
(/.f64 (-.f64 1 x) eps)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps)))
(/.f64 (-.f64 1 x) eps)
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) eps)))
(/.f64 (-.f64 1 x) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) eps)) 1))
(/.f64 (-.f64 1 x) eps)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) eps)))
(/.f64 (-.f64 1 x) eps)
(fma.f64 1 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))
(/.f64 (-.f64 1 x) eps)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))
(/.f64 (-.f64 1 x) eps)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (/.f64 (neg.f64 x) eps))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))
0.02%
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps)))))
Compiler

Compiled 53 to 15 computations (71.7% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite91.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1000×*-commutative
952×associate-*r/
798×distribute-lft-in
770×distribute-rgt-in
702×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01252
125444
2344544
Stop Event
node limit
Counts
2 → 168
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 x eps) (+.f64 1 (pow.f64 (exp.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x eps)) (-.f64 1 (+.f64 1 (pow.f64 (exp.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x))) (-.f64 1 (+.f64 1 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (/.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 0) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x eps)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 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(fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 1) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))))) (#(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 eps eps))) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (*.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (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 eps eps)) (*.f64 (pow.f64 (exp.f64 eps) x) (+.f64 1 (*.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 3)) (*.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (neg.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 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simplify230.0ms (1.5%)

Algorithm
egg-herbie
Rules
1052×+-commutative
662×associate-*r*
580×associate--r+
516×associate-+l-
516×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047113714
1140712626
2638912618
Stop Event
node limit
Counts
216 → 315
Calls
Call 1
Inputs
2
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) 2)
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
2
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) 2)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
1
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) 1)
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
1
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) 1)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(-.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 0)
(-.f64 0 (-.f64 (*.f64 x eps) (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 1 (*.f64 x eps)) (-.f64 1 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x))) (-.f64 1 (+.f64 1 (*.f64 x eps))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (/.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) 1))
(-.f64 (+.f64 2 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 1)
(-.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 eps) x)) 0) (*.f64 x eps))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(-.f64 (+.f64 (+.f64 1 (*.f64 x eps)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 eps) x)))) 1)
(*.f64 1 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(*.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)) (/.f64 1 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(*.f64 (/.f64 1 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))) (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) (+.f64 1 (+.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (-.f64 1 (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))) (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))))) (-.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))) (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (/.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) (/.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))) (/.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))) (/.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) (*.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 1) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (*.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (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 eps eps)) (*.f64 (pow.f64 (exp.f64 eps) x) (+.f64 1 (*.f64 x eps))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 3)) (*.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (neg.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 1)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (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 eps eps)) (*.f64 (pow.f64 (exp.f64 eps) x) (+.f64 1 (*.f64 x eps))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))) (neg.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2) 1) 1) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 x) (+.f64 eps eps))) 1) (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (+.f64 1 (*.f64 x eps)) 3)) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (*.f64 x eps))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (pow.f64 (exp.f64 eps) x) (+.f64 1 (*.f64 x eps))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) 1) (neg.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) (+.f64 (*.f64 x eps) (expm1.f64 (*.f64 x eps)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))) (sqrt.f64 (-.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (*.f64 x eps) 2)) 1) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) 1) (neg.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 x eps) 2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (/.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (+.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x eps) 2) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) 3)) (/.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 x eps) 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 x eps) 3)) (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) 1) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 3)
(pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))
(log.f64 (exp.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(cbrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(exp.f64 (log.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(log1p.f64 (expm1.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(fma.f64 1 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))
(fma.f64 1 (pow.f64 (exp.f64 eps) x) (*.f64 x eps))
(fma.f64 x eps (pow.f64 (exp.f64 eps) x))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (pow.f64 (exp.f64 eps) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (pow.f64 (exp.f64 eps) x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 x eps))
Outputs
2
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) 2)
2
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 2)
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 0 eps) x 2) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
2
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) 2)
2
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 2)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 0 eps) x 2) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3))))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(*.f64 eps x)
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
(+.f64 1 (+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x)))))
(+.f64 1 (fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (fma.f64 eps x 1))
1
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) 1)
1
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 0 eps) x 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 1)
(+.f64 (*.f64 (+.f64 eps (*.f64 -1 eps)) x) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 0 eps) x 1) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 1))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
1
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) 1)
1
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 (*.f64 0 eps) x 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 1)
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 0 eps) x 1) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 (*.f64 -1/6 (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) 1))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(+.f64 (*.f64 eps x) (exp.f64 (*.f64 -1 (*.f64 eps x))))
(fma.f64 eps x (exp.f64 (*.f64 (neg.f64 eps) x)))
(fma.f64 eps x (pow.f64 (exp.f64 (neg.f64 eps)) x))
(-.f64 (+.f64 1 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 0)
(+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)))
(+.f64 (fma.f64 eps x 1) (pow.f64 (exp.f64 eps) x))
(+.f64 (pow.f64 (exp.f64 eps) x) (fma.f64 eps x 1))
(-.f64 0 (-.f64 (*.f64 x eps) (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(neg.f64 (-.f64 (-.f64 (*.f64 eps x) 1) (pow.f64 (exp.f64 eps) x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (-.f64 1 (*.f64 eps x)))
(-.f64 (pow.f64 (exp.f64 eps) x) (fma.f64 eps x -1))
(-.f64 (+.f64 1 (*.f64 x eps)) (-.f64 1 (+.f64 1 (pow.f64 (exp.f64 eps) x))))
(+.f64 1 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)))
(+.f64 (fma.f64 eps x 1) (pow.f64 (exp.f64 eps) x))
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(/.f64 (sqrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) (/.f64 (sqrt.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x)))))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) 2) (cbrt.f64 (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) 2) (/.f64 (cbrt.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x))) 2) (cbrt.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 x eps) 2)) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps eps)))) (/.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (+.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 4) (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps eps)))) (*.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)) (+.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 4) (pow.f64 (exp.f64 x) (*.f64 4 eps))) (*.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)) (+.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x eps) 2) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) 3)) (/.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (*.f64 x eps) 2)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) 3)) (*.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)) (+.f64 (pow.f64 (*.f64 eps x) 4) (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (+.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 6) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) 3)) (*.f64 (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)) (+.f64 (pow.f64 (*.f64 eps x) 4) (fma.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps)) (pow.f64 (exp.f64 x) (*.f64 4 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 6) (pow.f64 (pow.f64 (exp.f64 eps) x) 6)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x))))) (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 6) (pow.f64 (pow.f64 (exp.f64 eps) x) 6)) (*.f64 (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 x eps) 3)) (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (*.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 eps x) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x))))) (-.f64 (+.f64 (pow.f64 (*.f64 eps x) 6) (pow.f64 (pow.f64 (exp.f64 eps) x) 6)) (*.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 eps x) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) 3)) (*.f64 (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (-.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) (pow.f64 (*.f64 eps x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) 1) (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x)))) (sqrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))) (cbrt.f64 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (-.f64 (*.f64 eps x) (pow.f64 (exp.f64 eps) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)))) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (*.f64 (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (*.f64 eps x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (exp.f64 x) (+.f64 eps eps))) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (*.f64 eps x)))) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 (*.f64 x eps) (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps)) (*.f64 x (*.f64 eps (fma.f64 eps x (pow.f64 (exp.f64 eps) x))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) (*.f64 eps x) (pow.f64 (exp.f64 x) (+.f64 eps eps))))
(pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 1)
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(pow.f64 (sqrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 2)
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(pow.f64 (cbrt.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))) 3)
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(pow.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(sqrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 2))
(fabs.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)))
(log.f64 (exp.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)))))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(cbrt.f64 (pow.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x)) 3))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(expm1.f64 (log1p.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(exp.f64 (log.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(log1p.f64 (expm1.f64 (fma.f64 x eps (pow.f64 (exp.f64 eps) x))))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 1 (*.f64 x eps) (pow.f64 (exp.f64 eps) x))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 1 (pow.f64 (exp.f64 eps) x) (*.f64 x eps))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 x eps (pow.f64 (exp.f64 eps) x))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (pow.f64 (exp.f64 eps) x))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 x eps))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (pow.f64 (exp.f64 eps) x))
(+.f64 1 (-.f64 (fma.f64 eps x (pow.f64 (exp.f64 eps) x)) 1))
(fma.f64 eps x (pow.f64 (exp.f64 eps) x))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 eps x))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))
0.01%
(*.f64 x (+.f64 -1 (neg.f64 eps)))
0.01%
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))))
Compiler

Compiled 64 to 35 computations (45.3% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1214×associate-*r/
1106×*-commutative
950×associate-*l/
572×associate-/r*
306×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01435
130327
2418327
Stop Event
node limit
Counts
1 → 107
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))))
Outputs
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simplify131.0ms (0.9%)

Algorithm
egg-herbie
Rules
900×+-commutative
482×associate-*r*
440×fma-def
426×times-frac
418×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03179507
18688975
249958097
Stop Event
node limit
Counts
131 → 216
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) 1/6) (pow.f64 x 3)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (-.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))) (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)) (/.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2)) (neg.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2))) (neg.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2)) 1) (neg.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 3) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2)) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2))
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x)) (*.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2)) (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2)))) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2)) 3)) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2)) (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2))) (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) (*.f64 (-.f64 eps 1) 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)) (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2)) (/.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(fma.f64 1 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
Outputs
2
(+.f64 2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x))
(+.f64 2 (*.f64 (fma.f64 -1 (+.f64 1 eps) -1) x))
(fma.f64 (+.f64 -1 (-.f64 -1 eps)) x 2)
(fma.f64 (-.f64 -2 eps) x 2)
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x)))
(fma.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x) (+.f64 2 (*.f64 (fma.f64 -1 (+.f64 1 eps) -1) x)))
(fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) 1/2) (*.f64 x x) (fma.f64 (+.f64 -1 (-.f64 -1 eps)) x 2))
(fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) 1/2) (*.f64 x x) (fma.f64 (-.f64 -2 eps) x 2))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 eps)) 1) x) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) 1/6) (pow.f64 x 3)))))
(fma.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2))) (*.f64 x x) (+.f64 2 (fma.f64 (fma.f64 -1 (+.f64 1 eps) -1) x (*.f64 (fma.f64 -1/6 (pow.f64 (+.f64 1 eps) 3) -1/6) (pow.f64 x 3)))))
(+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) 1/2) (*.f64 x x) (fma.f64 (+.f64 -1 (-.f64 -1 eps)) x 2)) (*.f64 (fma.f64 -1/6 (pow.f64 (+.f64 1 eps) 3) -1/6) (pow.f64 x 3)))
(+.f64 (fma.f64 (-.f64 -2 eps) x 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 (+.f64 1 eps) 3) -1/6) x) (fma.f64 1/2 (pow.f64 (+.f64 1 eps) 2) 1/2))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
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(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (/.f64 (*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 x (*.f64 x (+.f64 eps -1)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (exp.f64 (fma.f64 x (-.f64 eps 1) x))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 (-.f64 eps 0) x))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))))
(/.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1))))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (sqrt.f64 (exp.f64 x))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x)))))
(/.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 x (*.f64 x (+.f64 eps -1))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (exp.f64 (fma.f64 x (-.f64 eps 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 (-.f64 eps 0) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 x (*.f64 x (+.f64 eps -1))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (exp.f64 (fma.f64 x (-.f64 eps 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 (-.f64 eps 0) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2) (exp.f64 (+.f64 x (*.f64 x (-.f64 eps 1)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 x (*.f64 x (+.f64 eps -1))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) 2) (exp.f64 (fma.f64 x (-.f64 eps 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 (-.f64 eps 0) x))))
(pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 1)
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 2)
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) 3)
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 3) 1/3)
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 2))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))))))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1))) 3))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 1 (exp.f64 x) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))

eval589.0ms (3.9%)

Compiler

Compiled 38419 to 22235 computations (42.1% saved)

prune389.0ms (2.6%)

Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New1120171137
Fresh6612
Picked101
Done178
Total1128301158
Error
0%
Counts
1158 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
97.39%
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
1.36%
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
78.87%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 1 (*.f64 0 x))) (/.f64 x eps)))) 2)
82.33%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
86%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) x)) 2)
97.08%
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps x)) 2)
0.21%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
58%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
29.86%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
29.26%
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 1)) 2)
82.54%
(/.f64 (-.f64 (/.f64 (neg.f64 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
0.21%
(/.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)
29.93%
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
0.21%
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
1.37%
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
30.13%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
22.69%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
2.54%
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
34.7%
(/.f64 (+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) 2)
53.74%
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
29.76%
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
86.05%
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
96.41%
(/.f64 (*.f64 (neg.f64 eps) x) 2)
2.54%
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.f64 eps x))) 2)
96.74%
(/.f64 (*.f64 x eps) 2)
2.18%
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
97.07%
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
29.47%
(/.f64 2 2)
85.93%
(/.f64 1 2)
69.25%
(*.f64 1/2 0)
Compiler

Compiled 486 to 377 computations (22.4% saved)

regimes185.0ms (1.2%)

Counts
54 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps x)) 2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 1 (*.f64 0 x))) (/.f64 x eps)))) 2)
(/.f64 (-.f64 (/.f64 (neg.f64 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (/.f64 x eps))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.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 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (*.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.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 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1))))) -1)) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 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 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (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 (-.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 (pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (+.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)))))) 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:

99.0ms
x
34.0ms
(-.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)))))
25.0ms
eps
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.21%1x
0.21%1eps
0.21%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.21%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 1043 to 723 computations (30.7% saved)

regimes145.0ms (1%)

Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps x)) 2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 1 (*.f64 0 x))) (/.f64 x eps)))) 2)
(/.f64 (-.f64 (/.f64 (neg.f64 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (/.f64 x eps))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.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 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (*.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.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 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1))))) -1)) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 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 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 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 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (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)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

4 calls:

51.0ms
eps
23.0ms
x
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
ErrorSegmentsBranch
0.21%1x
0.21%1eps
0.21%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.21%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 909 to 644 computations (29.2% saved)

regimes96.0ms (0.6%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps x)) 2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 1 (*.f64 0 x))) (/.f64 x eps)))) 2)
(/.f64 (-.f64 (/.f64 (neg.f64 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (/.f64 x eps))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (*.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 1 x) (exp.f64 (neg.f64 x))) eps) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 (fma.f64 (*.f64 0 eps) x 2) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (*.f64 x eps)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (/.f64 1 eps) 1)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (*.f64 x (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1) (*.f64 (-.f64 1 eps) (+.f64 -1 (/.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/3 (*.f64 -1/8 x))) -1/2))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.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 (/.f64 1 eps) (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1))))) -1)) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 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 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 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 (neg.f64 x))) 2)
Calls

2 calls:

61.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
2.18%1x
2.18%1eps
Compiler

Compiled 677 to 478 computations (29.4% saved)

regimes169.0ms (1.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (*.f64 x eps) 2)
(/.f64 (*.f64 (neg.f64 eps) x) 2)
(/.f64 (+.f64 1 (*.f64 eps x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 eps x)) 2)
(/.f64 (neg.f64 (*.f64 (-.f64 1 eps) (+.f64 x (/.f64 x eps)))) 2)
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (*.f64 (+.f64 1 eps) (+.f64 1 (/.f64 -1 eps))) x)) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 1 (*.f64 0 x))) (/.f64 x eps)))) 2)
(/.f64 (-.f64 (/.f64 (neg.f64 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (/.f64 x eps))) 1))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 eps 1) (*.f64 x (+.f64 -1 (/.f64 1 eps))))) 1))) 2)
(/.f64 (/.f64 (expm1.f64 x) eps) 2)
Outputs
(/.f64 2 2)
(*.f64 1/2 0)
Calls

2 calls:

102.0ms
eps
57.0ms
x
Results
ErrorSegmentsBranch
1.85%2x
24.05%7eps
Compiler

Compiled 239 to 178 computations (25.5% saved)

bsearch86.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
85.0ms
11.676635304840968
121357524995.5963
Results
50.0ms57×body1024valid
12.0ms70×body256valid
9.0ms27×body512valid
7.0ms43×body256infinite
4.0msbody2048valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

regimes15.0ms (0.1%)

Accuracy

Total -24.7b remaining (-66.2%)

Threshold costs -24.7b (-66.2%)

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

2 calls:

8.0ms
eps
6.0ms
x
Results
ErrorSegmentsBranch
58.3%2x
65.37%3eps
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch73.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
73.0ms
11.676635304840968
121357524995.5963
Results
39.0ms63×body1024valid
10.0ms63×body256valid
10.0ms68×body256infinite
10.0ms32×body512valid
1.0msbody2048valid
Compiler

Compiled 156 to 149 computations (4.5% saved)

simplify48.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
038170
160162
292158
3138158
4188158
5219158
6248158
7275158
8291158
9295158
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 (neg.f64 x))) 2)
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 360) (/.f64 1 2) (*.f64 1/2 0))
(*.f64 1/2 0)
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 (neg.f64 x))) 2)
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) 2) 2)
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 360) 1 0)
(if (<=.f64 x 360) (/.f64 1 2) (*.f64 1/2 0))
(if (<=.f64 x 360) 1/2 0)
(*.f64 1/2 0)
0
Compiler

Compiled 68 to 46 computations (32.4% saved)

soundness111.0ms (0.7%)

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)

end82.0ms (0.5%)

Compiler

Compiled 58 to 34 computations (41.4% saved)

Profiling

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