Details

Time bar (total: 12.5s)

analyze138.0ms (1.1%)

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)

sample3.3s (26.8%)

Results
1.5s2078×body1024valid
1.0s4897×body256valid
357.0ms1037×body512valid
193.0ms244×body2048valid
124.0ms483×body256unsamplable
115.0ms500×body256infinite
11.0ms23×body1024infinite
2.0msbody512infinite
Bogosity

preprocess45.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 33 to 27 computations (18.2% saved)

simplify45.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
30.0b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
30.0b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
30.0b
(*.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 58 to 43 computations (25.9% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 eps x (neg.f64 x)))
0.0b
(+.f64 1 (/.f64 -1 eps))
0.0b
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))
5.8b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 104 to 49 computations (52.9% saved)

series10.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

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

rewrite98.0ms (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
019128
1396116
25280116
Stop Event
node limit
Counts
4 → 152
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)))
(+.f64 1 (/.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 1) (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) 1) (-.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) 3)) 1) (-.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (*.f64 (exp.f64 (+.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))))))

simplify151.0ms (1.2%)

Algorithm
egg-herbie
Rules
836×associate-*r*
826×associate--r+
590×associate-*l*
508×fma-def
494×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053011010
1148010206
2719510072
Stop Event
node limit
Counts
224 → 307
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)))
(/.f64 -1 eps)
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
1
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(-.f64 1 (/.f64 1 eps))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(exp.f64 (fma.f64 eps x (*.f64 -1 x)))
(+.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))))
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(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 eps))))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(fma.f64 1 (/.f64 1 eps) 1)
(fma.f64 -1 (/.f64 1 eps) 1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
Outputs
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.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 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x)))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x)))))))) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x)))))))) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x))))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 x eps x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps)) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (fma.f64 -1 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))) eps) (exp.f64 (fma.f64 eps x (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x))) eps)))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2)
(fma.f64 x (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)
(fma.f64 x (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (+.f64 1 (/.f64 1 eps)))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))))))
(fma.f64 x (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (pow.f64 (+.f64 eps -1) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2))
(fma.f64 x (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (pow.f64 (+.f64 eps -1) 2) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2))
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1
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1
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(/.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (pow.f64 eps -2))) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (-.f64 -1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) 1) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(pow.f64 (+.f64 1 (/.f64 1 eps)) 1)
(+.f64 1 (/.f64 1 eps))
(pow.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 3)
(+.f64 1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) 1/3)
(+.f64 1 (/.f64 1 eps))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))
(fabs.f64 (+.f64 1 (/.f64 1 eps)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 eps)))))
(+.f64 1 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))
(+.f64 1 (/.f64 1 eps))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 eps)) 1))
(exp.f64 (log1p.f64 (/.f64 1 eps)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 eps))))
(+.f64 1 (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) 1)
(+.f64 1 (/.f64 1 eps))
(fma.f64 -1 (/.f64 1 eps) 1)
(-.f64 1 (/.f64 1 eps))
(+.f64 1 (/.f64 -1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) 1)
(+.f64 1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) 1)
(-.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))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
3.6b
(-.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)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (+.f64 1 eps) (neg.f64 x))
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)))))
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)))))

rewrite196.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
020156
1443130
26105130
Stop Event
node limit
Counts
4 → 352
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
Outputs
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simplify239.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
092840360
1251235840
Stop Event
node limit
Counts
448 → 587
Calls
Call 1
Inputs
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2
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(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))) (*.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.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 (*.f64 1/720 (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 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (pow.f64 x 6) (*.f64 (exp.f64 (neg.f64 x)) 1/720))) (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)))) (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))) (*.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4)))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (neg.f64 (-.f64 1 eps)) x)) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.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 (neg.f64 (-.f64 1 eps)) x)) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.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 (neg.f64 (-.f64 1 eps)) x)) (-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))))
(-.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 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x 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 (neg.f64 (-.f64 1 eps)) x)) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 (/.f64 (*.f64 1 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) eps) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x 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 (neg.f64 (-.f64 1 eps)) x)) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x)) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 (/.f64 (*.f64 1 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) eps) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
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(/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (+.f64 1 (pow.f64 eps -3)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(pow.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 3)))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))

eval857.0ms (6.9%)

Compiler

Compiled 42298 to 29495 computations (30.3% saved)

prune276.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88410894
Fresh000
Picked101
Done101
Total88610896
Error
0.0b
Counts
896 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
45.4b
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.6b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
0.6b
(/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
15.6b
(/.f64 2 2)
45.2b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
8.6b
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x)))) (/.f64 x (exp.f64 x)))))
0.6b
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))
47.5b
(*.f64 1/2 0)
Compiler

Compiled 490 to 342 computations (30.2% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 29 computations (59.7% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite113.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1610×associate-/r*
1318×associate-/l*
414×associate-+l+
298×associate-+r+
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013112
128782
2433282
Stop Event
node limit
Counts
4 → 280
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 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 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (/.f64 0 (exp.f64 x))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (exp.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(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 (fma.f64 x x -1) (/.f64 (exp.f64 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (exp.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 1 (pow.f64 x 3)) (/.f64 (exp.f64 x) (/.f64 1 (fma.f64 x x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))))))) (#(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 /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(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 (*.f64 (exp.f64 x) (fma.f64 x x -1)) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (+.f64 x 1)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) 1) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (exp.f64 x)) (sqrt.f64 (fma.f64 x x (+.f64 x 1)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 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simplify167.0ms (1.3%)

Algorithm
egg-herbie
Rules
878×associate-/l*
842×associate-*r*
808×associate-/r*
778×times-frac
660×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070416952
1181815608
Stop Event
node limit
Counts
320 → 502
Calls
Call 1
Inputs
1
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(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
x
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1
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2
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(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
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(/.f64 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 x 1))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) 1) (+.f64 x -1))
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(pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(exp.f64 (log.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(fma.f64 1 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.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 (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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (exp.f64 (neg.f64 x)) (+.f64 1 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 (*.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 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)))
(+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2/3))))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x)
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 x (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 2 (exp.f64 x)) x (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 2 (exp.f64 x)) x (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 2 (exp.f64 x)) x (/.f64 2 (exp.f64 x)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (neg.f64 x) (*.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 x (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 x (*.f64 (exp.f64 (neg.f64 x)) -2)))
(+.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(+.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x))))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) (-.f64 1 (exp.f64 x)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (*.f64 x (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1) (*.f64 x (exp.f64 x)))
(+.f64 -1 (fma.f64 x (exp.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (/.f64 0 (exp.f64 x)) (-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x)))
(-.f64 0 (*.f64 (exp.f64 x) (+.f64 x -1)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x -1)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(-.f64 (+.f64 (exp.f64 x) (/.f64 0 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(-.f64 0 (*.f64 (exp.f64 x) (+.f64 x -1)))
(*.f64 (exp.f64 x) (neg.f64 (+.f64 x -1)))
(-.f64 (+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1) (*.f64 x (exp.f64 x)))
(+.f64 -1 (fma.f64 x (exp.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (exp.f64 x) (+.f64 x 1)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (fma.f64 x x -1)))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) (fma.f64 x x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x)))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 x 1) (exp.f64 x))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (+.f64 x 1) (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (+.f64 x -1)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(/.f64 (exp.f64 x) (/.f64 1 (+.f64 x 1)))
(fma.f64 x (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 x))
(/.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)
(exp.f64 (+.f64 x (log1p.f64 x)))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (exp.f64 x)))
(/.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (exp.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (exp.f64 x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (exp.f64 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) (fma.f64 x x -1))
(/.f64 (fma.f64 x x -1) (/.f64 (exp.f64 x) (/.f64 1 (+.f64 x -1))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) (fma.f64 x x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (exp.f64 x)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x -1)) (exp.f64 x))
(*.f64 (exp.f64 x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (exp.f64 x)) 1))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x -1))) (fma.f64 x x -1))
(/.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 1 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x)))) (+.f64 1 (pow.f64 x 3)))
(/.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 (+.f64 x 1)))))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x)))) (+.f64 1 (pow.f64 x 3)))
(/.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 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (exp.f64 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (+.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)) 1))
(*.f64 (/.f64 1 (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x)))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (*.f64 (exp.f64 x) (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (exp.f64 x) (+.f64 x -1))) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (exp.f64 x) (+.f64 x -1))))
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(/.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 (+.f64 x x) 1) (pow.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) 2))) (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (+.f64 x x) 1)))
(*.f64 1 (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))) 2))) (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (*.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) 2) (exp.f64 x))) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 (+.f64 x x) 1) (pow.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) 2))) (*.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (*.f64 (exp.f64 x) (*.f64 (+.f64 1 (+.f64 x x)) (sqrt.f64 (exp.f64 x))))) (/.f64 (+.f64 x (+.f64 (+.f64 1 x) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))) 2))) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (exp.f64 x)) (*.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) 2) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x)))) 1)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) 2) (*.f64 (exp.f64 (+.f64 x (log1p.f64 x))) (*.f64 x (exp.f64 x))))) (exp.f64 x))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3)) (exp.f64 x) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x)))))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))) 2) (*.f64 (exp.f64 x) (-.f64 (*.f64 x (exp.f64 (+.f64 x (log1p.f64 x)))) (+.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))) 2) (*.f64 (*.f64 x (exp.f64 x)) (exp.f64 (+.f64 x (log1p.f64 x)))))))
(pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 1)
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 2)
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 3)
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(pow.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 3) 1/3)
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2))) 3))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(exp.f64 (log.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))) 1))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))
(fma.f64 1 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(+.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 (+.f64 1 (+.f64 x x))))
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 (+.f64 1 (+.f64 x x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 (+.f64 1 (+.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 1 (+.f64 1 (+.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (+.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 1 (+.f64 x x))))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 91 to 64 computations (29.7% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite167.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016109
1356101
24892101
Stop Event
node limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(+.f64 (/.f64 1 eps) -1)
Outputs
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simplify285.0ms (2.3%)

Algorithm
egg-herbie
Rules
980×associate-*r*
894×associate-+l+
802×+-commutative
626×associate-+r+
612×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068026927
1195624315
Stop Event
node limit
Counts
309 → 434
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) -1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (neg.f64 (+.f64 -1 (pow.f64 eps -2)))) (-.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (-.f64 (pow.f64 eps -3) -1)) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (neg.f64 (+.f64 1 (pow.f64 eps -3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 (/.f64 -1 eps))))) (+.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (-.f64 1 (/.f64 -1 eps)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 (/.f64 -1 eps)))) (*.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (+.f64 (/.f64 1 eps) -1) 1)
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -2))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -2))) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (-.f64 (pow.f64 eps -3) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.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 -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 -1 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -2))) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (+.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 -1 (pow.f64 eps -3)) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 (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 1 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 1 (/.f64 1 eps) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
Outputs
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 1 (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 1 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 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 (neg.f64 eps) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 (/.f64 1 eps) (-.f64 (-.f64 1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 -1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x))))))
(+.f64 (-.f64 (-.f64 1 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) eps)))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) eps) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (*.f64 (*.f64 x (+.f64 1 eps)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 2 (*.f64 (+.f64 x (*.f64 x eps)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 -1 (/.f64 1 eps))))))
(+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 1 eps))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (+.f64 -1 (/.f64 1 eps))) (+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 -1 (/.f64 1 eps)))))))
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1 (/.f64 1 eps)))) (+.f64 2 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 x (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1/2 (*.f64 -1/2 (/.f64 1 eps)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (pow.f64 eps -4) (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 (/.f64 -1 eps))))) (+.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 -1 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (pow.f64 eps -4) (pow.f64 (+.f64 1 (/.f64 1 eps)) 2))) (+.f64 (pow.f64 eps -2) (+.f64 -1 (/.f64 -1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (-.f64 1 (/.f64 -1 eps)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 eps -2) (pow.f64 eps -2)) (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 (/.f64 -1 eps)))) (*.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (-.f64 1 (/.f64 -1 eps)) 3))) (+.f64 (pow.f64 eps -4) (-.f64 (*.f64 (-.f64 1 (/.f64 -1 eps)) (-.f64 1 (/.f64 -1 eps))) (*.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (pow.f64 eps -2) 3))) (+.f64 (pow.f64 eps -4) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -2))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 eps -2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -2)))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2)))) (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))) (/.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -2))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -2))) (neg.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 eps -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 eps -3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 -1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (-.f64 -1 (/.f64 1 eps)))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (-.f64 (pow.f64 eps -3) 1) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 eps -2))) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (hypot.f64 1 (pow.f64 eps -1/2))) (hypot.f64 1 (pow.f64 eps -1/2)))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 -1 (pow.f64 eps -2))) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(/.f64 (/.f64 (+.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 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (/.f64 (+.f64 -1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (+.f64 -1 (pow.f64 eps -2)) (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 -1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))
(/.f64 (/.f64 (+.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 -1 (pow.f64 eps -3)) (*.f64 (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 -1 (pow.f64 eps -3)) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))))
(/.f64 (/.f64 (+.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 -1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(+.f64 -1 (/.f64 1 eps))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 eps)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(+.f64 -1 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(+.f64 -1 (/.f64 1 eps))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 -1 (/.f64 1 eps))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(*.f64 (+.f64 1 (pow.f64 eps -1/2)) (+.f64 (pow.f64 eps -1/2) -1))
(+.f64 -1 (pow.f64 eps -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 65 to 36 computations (44.6% saved)

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 114 to 88 computations (22.8% saved)

series2.0ms (0%)

Counts
3 → 16
Calls

9 calls:

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

rewrite87.0ms (0.7%)

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 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (exp.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 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simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
1882×associate-/r*
858×unswap-sqr
666×distribute-lft-in
624×distribute-rgt-in
574×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01793745
14653395
220663209
Stop Event
node limit
Counts
143 → 136
Calls
Call 1
Inputs
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 (*.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))
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 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) (pow.f64 (exp.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) (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.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 (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) (pow.f64 (exp.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) (pow.f64 (exp.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) (pow.f64 (exp.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 (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) (pow.f64 (exp.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) (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 (exp.f64 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.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 (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) (pow.f64 (exp.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) (pow.f64 (exp.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) (pow.f64 (exp.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
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 (*.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 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) 1/2 -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 (pow.f64 x 3) -1/3)) -1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -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 (pow.f64 x 3) -1/3))) -1)
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) -1/3 -1)))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(neg.f64 (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 x (neg.f64 (exp.f64 (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 x (neg.f64 (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 x (exp.f64 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)
(+.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)))
(+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (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 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8))))
(*.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 0 (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(*.f64 x (exp.f64 x))
(pow.f64 (*.f64 x (exp.f64 x)) 1)
(*.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) 2)
(*.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 3)
(*.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) 1/3)
(*.f64 x (exp.f64 x))
(neg.f64 (*.f64 x (exp.f64 x)))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2))
(*.f64 x (exp.f64 x))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (exp.f64 x)))))
(*.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3))
(*.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(exp.f64 (+.f64 x (log.f64 x)))
(*.f64 x (exp.f64 x))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(*.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 1 x))
(-.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 x -1))
(-.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 (exp.f64 (+.f64 x x)) (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)))
(neg.f64 (*.f64 (exp.f64 x) (+.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 x -1))
(*.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) -1)
(neg.f64 (*.f64 (exp.f64 x) (+.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) (pow.f64 (exp.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)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (exp.f64 x) 3)) (-.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2) (*.f64 x (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 1)) (*.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (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 (exp.f64 (+.f64 x x)) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 x (exp.f64 (+.f64 x x))))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 1)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (*.f64 x (exp.f64 (+.f64 x x))) (+.f64 x -1))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (exp.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 (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (-.f64 -1 (pow.f64 x 3))) (*.f64 (exp.f64 (+.f64 x x)) (-.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 (exp.f64 (+.f64 x x)) (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) (pow.f64 (exp.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 (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) -1)) (*.f64 (exp.f64 (+.f64 x x)) (-.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)))
(neg.f64 (*.f64 (exp.f64 x) (+.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) (pow.f64 (exp.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 (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (+.f64 (pow.f64 x 3) 1)) (*.f64 (exp.f64 (+.f64 x x)) (-.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)))
(neg.f64 (*.f64 (exp.f64 x) (+.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 x -1))
(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 x -1))
(fma.f64 -1 (*.f64 x (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (*.f64 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 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 x -1))
(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 (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)))

eval984.0ms (7.9%)

Compiler

Compiled 48189 to 30825 computations (36% saved)

prune503.0ms (4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New144761453
Fresh145
Picked101
Done314
Total1452111463
Error
0.0b
Counts
1463 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
30.8b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
15.6b
(/.f64 2 2)
45.2b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
15.8b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
15.8b
(*.f64 1/2 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))
0.6b
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
39.8b
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x)))))
47.5b
(*.f64 1/2 0)
Compiler

Compiled 357 to 279 computations (21.8% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 54 to 23 computations (57.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite105.0ms (0.8%)

Algorithm
egg-rewrite-iter-limit
egg-rewrite
batch-egg-rewrite
Rules
1934×add-sqr-sqrt
1914×*-un-lft-identity
1794×add-cube-cbrt
1776×add-cbrt-cube
272×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
126360
2455660
0923
119319
2279019
01237
126337
2456537
01237
Stop Event
iter limit
unsound
node limit
unsound
Counts
2 → 43
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 x 1)) (*.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fma.f64 2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 x 1)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fma.f64 2 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 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (fma.f64 2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x x)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))))))

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
1150×associate-*r/
1140×distribute-lft-in
982×distribute-rgt-in
800×associate-/l*
758×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01532265
14162023
218621583
Stop Event
node limit
Counts
67 → 92
Calls
Call 1
Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))) 1)
(*.f64 1 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))
(*.f64 (fma.f64 2 x 1) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x 1)) (*.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 2 x 1))
(*.f64 (neg.f64 (fma.f64 2 x 1)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fma.f64 2 x 1) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 x) (fma.f64 2 x 1)) -1)
(neg.f64 (/.f64 (fma.f64 2 x 1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x x)) x) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) 1)
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(+.f64 (fma.f64 -3/2 (*.f64 x x) x) (fma.f64 5/6 (pow.f64 x 3) 1))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (*.f64 x x)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 2 (-.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 x x)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2/3))))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 -1/4 (pow.f64 x 4))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(/.f64 (+.f64 x x) (exp.f64 x))
(/.f64 2 (/.f64 (exp.f64 x) x))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 1 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (fma.f64 2 x 1) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (sqrt.f64 (fma.f64 2 x 1)) (*.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 (neg.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 2 x 1))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (neg.f64 (fma.f64 2 x 1)) (/.f64 1 (neg.f64 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fma.f64 2 x 1) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 2 x 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (fma.f64 2 x 1) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (fma.f64 2 x 1) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 2 x 1)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 2 x 1) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (fma.f64 2 x 1) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (exp.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fma.f64 2 x 1)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fma.f64 2 x 1) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (fma.f64 2 x 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (fma.f64 2 x 1) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x 1)) 2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 1)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 2)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 3)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) 1/3)
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(pow.f64 (*.f64 (exp.f64 x) (fma.f64 2 x 1)) -1)
(/.f64 1 (*.f64 (exp.f64 x) (fma.f64 2 x 1)))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 2 x 1))
(neg.f64 (/.f64 (fma.f64 2 x 1) (neg.f64 (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 x x)) x) 1))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 2 x 1) (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 2)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (*.f64 x -2)) (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 2)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))))
(/.f64 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))) 1)
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (fma.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (*.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) 3) (exp.f64 (*.f64 x -3))) (fma.f64 (/.f64 (fma.f64 2 x 1) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 2 x 1) 1)) (pow.f64 (exp.f64 x) -2)))
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) 1)
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(cbrt.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 2 x 1) (exp.f64 x))) 3))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))))
(+.f64 (fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize68.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 61 to 45 computations (26.2% saved)

series3.0ms (0%)

Counts
3 → 39
Calls

15 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1436×associate-*l/
1042×*-commutative
688×distribute-lft-in
666×distribute-rgt-in
618×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01057
121857
2293957
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) x)
(-.f64 (/.f64 1 eps) 1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)))))

simplify106.0ms (0.8%)

Algorithm
egg-herbie
Rules
1354×associate-+r+
944×associate-/l*
868×associate-*r*
748×associate-*l*
692×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04516921
113286649
268246649
Stop Event
node limit
Counts
213 → 282
Calls
Call 1
Inputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(/.f64 1 eps)
-1
-1
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 x (*.f64 eps (+.f64 (/.f64 1 eps) -1))))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) (*.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) x))
(+.f64 (*.f64 (+.f64 x (*.f64 eps x)) -1) (/.f64 (+.f64 x (*.f64 eps x)) eps))
(+.f64 (/.f64 (+.f64 x (*.f64 eps x)) eps) (*.f64 (+.f64 x (*.f64 eps x)) -1))
(+.f64 (*.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (*.f64 eps (*.f64 (+.f64 (/.f64 1 eps) -1) x)))
(+.f64 (*.f64 1 (/.f64 (+.f64 x (*.f64 eps x)) eps)) (*.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) -1)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 x (*.f64 eps (+.f64 (/.f64 1 eps) -1))) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) 1) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) eps))
(+.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) eps) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) x) 1))
(+.f64 (*.f64 (/.f64 (+.f64 x (*.f64 eps x)) eps) 1) (*.f64 (*.f64 (+.f64 x (*.f64 eps x)) -1) 1))
(+.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 (*.f64 eps (+.f64 (/.f64 1 eps) -1)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) x))
(+.f64 (*.f64 eps (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (*.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))) 1)
(/.f64 (+.f64 x (*.f64 eps x)) (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 1)
(/.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))) (+.f64 x (*.f64 eps x))))
(/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 eps -2)) 1) (+.f64 x (*.f64 eps x))) (+.f64 -1 (neg.f64 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 eps -3)) 1) (+.f64 x (*.f64 eps x))) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (/.f64 1 (+.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 eps 1))
(/.f64 (*.f64 (+.f64 -1 (*.f64 eps eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (+.f64 -1 eps))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 eps 3))) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (+.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 (/.f64 1 eps) -1)) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 (pow.f64 eps -2) -1)) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) 1) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (*.f64 (+.f64 x (*.f64 eps x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps -2) -1)) (*.f64 (+.f64 x (*.f64 eps x)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (*.f64 eps eps))) x) (-.f64 1 eps))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (pow.f64 eps 3))) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (*.f64 (+.f64 1 eps) (+.f64 (pow.f64 eps -2) -1)) x) (+.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (+.f64 1 eps) (+.f64 -1 (pow.f64 eps -3))) x) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 (pow.f64 eps -2) -1)) x) (*.f64 (-.f64 1 eps) (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps 3))) x) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 (pow.f64 eps -3))) x) (*.f64 (-.f64 1 eps) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 -1 (pow.f64 eps -3))) x) (*.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 (pow.f64 eps -2) -1)) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 (pow.f64 eps -2) -1)) (sqrt.f64 (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 (pow.f64 eps -2) -1)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) 1) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 -1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 1 (*.f64 eps x)))
(+.f64 x (*.f64 (*.f64 eps x) 1))
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 1 (*.f64 eps x)) x)
(+.f64 (*.f64 (*.f64 eps x) 1) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 eps x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 eps x)))
(-.f64 (+.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(/.f64 x (/.f64 1 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) x) (-.f64 eps 1))
(/.f64 (*.f64 (+.f64 -1 (*.f64 eps eps)) x) (+.f64 -1 eps))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 eps 3))) x) (+.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 1 eps)) (cbrt.f64 (-.f64 1 eps)))) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(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)
(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 x 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(+.f64 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(*.f64 1 (+.f64 (/.f64 1 eps) -1))
(*.f64 (+.f64 (/.f64 1 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(*.f64 (+.f64 1 (pow.f64 eps -1/2)) (-.f64 (pow.f64 eps -1/2) 1))
(*.f64 (-.f64 (pow.f64 eps -1/2) 1) (+.f64 1 (pow.f64 eps -1/2)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 eps))) (+.f64 (pow.f64 eps -2) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 (pow.f64 eps -2) -1)) (+.f64 (/.f64 1 eps) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (-.f64 (/.f64 (pow.f64 eps -3) eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (/.f64 1 eps))))) (-.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 (pow.f64 eps -2) 3) (pow.f64 (+.f64 1 (/.f64 1 eps)) 3))) (+.f64 (/.f64 (pow.f64 eps -3) eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 eps -2)))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 eps) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 -1 (pow.f64 eps -3))))
(/.f64 (+.f64 (/.f64 1 eps) -1) 1)
(/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 1 eps) -1)))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps -2) -1)) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (+.f64 (pow.f64 eps -2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))) (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 eps -3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) -1)) (cbrt.f64 (+.f64 (pow.f64 eps -2) -1))) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (+.f64 (pow.f64 eps -2) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) 1) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) 1) (*.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (-.f64 (/.f64 (pow.f64 eps -3) eps) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (*.f64 (+.f64 (pow.f64 eps -2) (-.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) 1) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 (pow.f64 eps -3) eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 eps -2)) 1) (+.f64 -1 (neg.f64 (/.f64 1 eps))))
(/.f64 (+.f64 (neg.f64 (pow.f64 eps -3)) 1) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 eps -2)) 1) 1) (+.f64 -1 (neg.f64 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 eps -3)) 1) 1) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps -2) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 eps -3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 eps -3) eps) 1) (/.f64 1 (+.f64 1 (/.f64 1 eps)))) (+.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 eps -2) 3) 1) (/.f64 1 (+.f64 1 (/.f64 1 eps)))) (+.f64 (/.f64 (pow.f64 eps -3) eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) 1) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))) (+.f64 1 (pow.f64 eps -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 eps -3) 3) 1) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))) (+.f64 (*.f64 (pow.f64 eps -3) (pow.f64 eps -3)) (+.f64 1 (pow.f64 eps -3))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) 1) (+.f64 1 (/.f64 1 eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (sqrt.f64 (+.f64 1 (/.f64 1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 1 eps))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) 1) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))) (sqrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 -1 (neg.f64 (/.f64 1 eps)))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(fma.f64 1 (/.f64 1 eps) -1)
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)
Outputs
(/.f64 x eps)
(+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x))
(fma.f64 -1 x (+.f64 x (/.f64 x eps)))
(+.f64 (/.f64 x eps) 0)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))
(fma.f64 -1 (*.f64 x eps) (fma.f64 -1 x (+.f64 x (/.f64 x eps))))
(+.f64 (*.f64 eps (neg.f64 x)) (/.f64 x eps))
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(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))) (cbrt.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(*.f64 (+.f64 -1 (pow.f64 eps -3)) (/.f64 1 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (+.f64 -1 (pow.f64 eps -3)) (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))
(pow.f64 (+.f64 (/.f64 1 eps) -1) 1)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 3)
(+.f64 -1 (/.f64 1 eps))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3) 1/3)
(+.f64 -1 (/.f64 1 eps))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 -1 (neg.f64 (/.f64 1 eps)))))
(/.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (/.f64 -1 eps)))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 eps -3)) (neg.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (pow.f64 eps -2))))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 eps -3))) (+.f64 (/.f64 -1 eps) (neg.f64 (+.f64 1 (pow.f64 eps -2)))))
(/.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (/.f64 -1 eps) (+.f64 1 (pow.f64 eps -2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 eps)) 2))
(fabs.f64 (+.f64 -1 (/.f64 1 eps)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) -1))))
(+.f64 -1 (/.f64 1 eps))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) -1) 3))
(+.f64 -1 (/.f64 1 eps))
(expm1.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) -1)))
(+.f64 -1 (/.f64 1 eps))
(fma.f64 1 (/.f64 1 eps) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) -1)
(+.f64 -1 (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) -1)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (pow.f64 x 3) 2/3)
6.4b
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
Compiler

Compiled 47 to 31 computations (34% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite136.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
994×*-commutative
850×associate-*r/
750×associate-*l/
722×distribute-lft-in
710×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
125440
2326740
Stop Event
node limit
Counts
2 → 115
Calls
Call 1
Inputs
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(*.f64 (pow.f64 x 3) 2/3)
Outputs
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(*.f64 x (cbrt.f64 2/3)) (-.f64 2 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3)))))))

simplify146.0ms (1.2%)

Algorithm
egg-herbie
Rules
1190×associate-+r+
1154×associate-+l+
856×+-commutative
720×associate--r+
444×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03289451
19778589
246608579
Stop Event
node limit
Counts
139 → 183
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (neg.f64 (pow.f64 x 3))))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 3) 2/3) -1))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (neg.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 2/3)) (neg.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2))))
(-.f64 (-.f64 2 (*.f64 x x)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (fma.f64 -2/3 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (fma.f64 (neg.f64 (pow.f64 x 3)) 2/3 (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2/3)) 1 (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 2/3))) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (exp.f64 (log.f64 (-.f64 3 (*.f64 x x)))) (-.f64 1 (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))) (-.f64 1 (-.f64 2 (*.f64 x x))))
(-.f64 (+.f64 2 (*.f64 (pow.f64 x 3) 2/3)) (*.f64 x x))
(-.f64 (/.f64 4 (+.f64 2 (*.f64 x x))) (-.f64 (/.f64 (pow.f64 x 4) (+.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (/.f64 8 (+.f64 (*.f64 2 (*.f64 x x)) (+.f64 (pow.f64 x 4) 4))) (-.f64 (/.f64 (pow.f64 x 6) (+.f64 (*.f64 2 (*.f64 x x)) (+.f64 (pow.f64 x 4) 4))) (*.f64 (pow.f64 x 3) 2/3)))
(-.f64 (/.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))) (/.f64 (*.f64 (pow.f64 x 6) 4/9) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(-.f64 (+.f64 (-.f64 2 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (exp.f64 (log.f64 (-.f64 3 (*.f64 x x))))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (/.f64 4 (+.f64 2 (*.f64 x x)))) (/.f64 (pow.f64 x 4) (+.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 (pow.f64 x 3) 2/3) (/.f64 8 (+.f64 (*.f64 2 (*.f64 x x)) (+.f64 (pow.f64 x 4) 4)))) (/.f64 (pow.f64 x 6) (+.f64 (*.f64 2 (*.f64 x x)) (+.f64 (pow.f64 x 4) 4))))
(-.f64 (+.f64 (+.f64 2 (*.f64 (pow.f64 x 3) 2/3)) 0) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 1)
(*.f64 1 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(*.f64 (/.f64 1 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (*.f64 (pow.f64 x 3) 2/3) (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (-.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) 3) (pow.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))) (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) (/.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 1 (/.f64 1 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (/.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))) (/.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 2/3) 2) (*.f64 x x)))
(/.f64 (-.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))) (+.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (*.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 6) 4/9))) (*.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) 3)) (+.f64 (+.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))) (*.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) 3) (pow.f64 (*.f64 (pow.f64 x 6) 4/9) 3)) (*.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 6) 4/9)) (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 (-.f64 2 (*.f64 x x)) 2))) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 2/3) 2) (*.f64 x x)))
(/.f64 (*.f64 1 (-.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3))))) (+.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 1 (-.f64 8 (pow.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) 3))) (+.f64 (+.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))) (*.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))) (neg.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) 1) (+.f64 (-.f64 (*.f64 (pow.f64 x 3) 2/3) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))) 1) (+.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (-.f64 8 (pow.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) 3)) 1) (+.f64 (+.f64 4 (*.f64 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)) (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))) (*.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) 1) (neg.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) 1) (neg.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2)) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (*.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 6) 4/9))) (/.f64 1 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) 3) (pow.f64 (*.f64 (pow.f64 x 6) 4/9) 3)) (/.f64 1 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (pow.f64 (-.f64 2 (*.f64 x x)) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 6) 4/9)) (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))) (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))) (+.f64 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) 1) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (*.f64 (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))) (-.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))
(fma.f64 2/3 (pow.f64 x 3) (-.f64 2 (*.f64 x x)))
(fma.f64 1 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 1 (*.f64 (pow.f64 x 3) 2/3) (-.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (-.f64 2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) 2) (cbrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (-.f64 2 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 2/3) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3)))
Outputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(-.f64 2 (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1 (*.f64 x x) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 -1 (*.f64 x x) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 2 (+.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -2/3)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (neg.f64 (pow.f64 x 3))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 3) 2/3) -1))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (neg.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))))
(-.f64 (-.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))
(+.f64 (-.f64 2 (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2))
(-.f64 (-.f64 2 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 2/3)) (neg.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (-.f64 2 (*.f64 x x)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3)))
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(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) 512/19683 (pow.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) 3)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x)))))) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 6) (fma.f64 (pow.f64 (pow.f64 x 3) 6) 64/729 (*.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -8/27)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) 1) (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) -4/9)) (-.f64 2 (fma.f64 x x (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3)))) (sqrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) -4/9)) (-.f64 2 (fma.f64 x x (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (*.f64 (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))) (cbrt.f64 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2/3))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) -4/9)) (-.f64 2 (fma.f64 x x (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)))) (-.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) 4/9)) (*.f64 (-.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (sqrt.f64 (-.f64 2 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (*.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3/2) (sqrt.f64 2/3) (sqrt.f64 (-.f64 2 (*.f64 x x))))) (-.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (pow.f64 (-.f64 2 (*.f64 x x)) 3)) (+.f64 (pow.f64 (-.f64 2 (*.f64 x x)) 2) (fma.f64 (pow.f64 x 6) 4/9 (*.f64 (*.f64 (pow.f64 x 3) -2/3) (-.f64 2 (*.f64 x x))))))
(pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 1)
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 2)
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))) 3)
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 3) 1/3)
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (-.f64 2 (*.f64 x x))) 2))
(fabs.f64 (-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x))) 3))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 (pow.f64 x 3) 2/3 (-.f64 2 (*.f64 x x)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 2/3 (pow.f64 x 3) (-.f64 2 (*.f64 x x)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 1 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 1 (*.f64 (pow.f64 x 3) 2/3) (-.f64 2 (*.f64 x x)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 (sqrt.f64 (-.f64 2 (*.f64 x x))) (sqrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (-.f64 2 (*.f64 x x)))
(-.f64 (-.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))
(+.f64 (-.f64 2 (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 x x))) 2) (cbrt.f64 (-.f64 2 (*.f64 x x))) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (-.f64 2 (*.f64 x x)))
(+.f64 (-.f64 2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 2/3) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3))))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 2/3)))
(*.f64 2/3 (pow.f64 x 3))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
0.0b
(*.f64 x (/.f64 2 (exp.f64 x)))
0.0b
(/.f64 2 (exp.f64 x))
Compiler

Compiled 44 to 22 computations (50% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x (/.f64 2 (exp.f64 x)))
0.0ms
x
@inf
(/.f64 2 (exp.f64 x))
0.0ms
x
@-inf
(/.f64 2 (exp.f64 x))
0.0ms
x
@-inf
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
0.0ms
x
@inf
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))

rewrite104.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1502×associate-*r/
1036×associate-*l/
914×*-commutative
734×associate-/r*
564×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01159
123651
2319851
Stop Event
node limit
Counts
3 → 311
Calls
Call 1
Inputs
(/.f64 2 (exp.f64 x))
(*.f64 x (/.f64 2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
Outputs
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simplify176.0ms (1.4%)

Algorithm
egg-herbie
Rules
1380×associate-*r*
1334×associate-*l*
1142×associate-/r*
778×associate-/l/
758×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073918111
1216317685
Stop Event
node limit
Counts
339 → 587
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(*.f64 2 x)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (pow.f64 x 3)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (pow.f64 x 3))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (exp.f64 x)))) 1)
(*.f64 2 (exp.f64 x))
(*.f64 (*.f64 2 (exp.f64 x)) 1)
(*.f64 (exp.f64 x) 2)
(*.f64 1 (*.f64 2 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 2 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 2 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) 2) (cbrt.f64 (*.f64 2 (exp.f64 x))))
(*.f64 -2 (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) -2)
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))) 1) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 1) (cbrt.f64 (exp.f64 x)))
(pow.f64 (*.f64 2 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 2 (exp.f64 x)) 3) 1/3)
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(/.f64 (*.f64 1 (-.f64 1 (+.f64 x x))) (exp.f64 x))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2))) (neg.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) (sqrt.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2) (cbrt.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) (pow.f64 (exp.f64 x) 2)) 1) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (+.f64 x x)) 1) (exp.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2)) 1) (neg.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) 1) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (sqrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2)) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2))
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))
(/.f64 (*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x)) (*.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2))) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) (pow.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) 3)) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (+.f64 (/.f64 (exp.f64 (*.f64 x 3)) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2)) (*.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3))) (*.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))))) (-.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 x 3)) 3) (pow.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))))) (+.f64 (*.f64 (exp.f64 (*.f64 x 3)) (exp.f64 (*.f64 x 3))) (-.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) (*.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (sqrt.f64 (exp.f64 x))) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2))
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2)) (/.f64 1 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2) (+.f64 (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))))
(/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x 3)) (pow.f64 (*.f64 2 (*.f64 x (exp.f64 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (-.f64 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) 1) (exp.f64 x))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (*.f64 2 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(fma.f64 (*.f64 2 (exp.f64 x)) x (exp.f64 x))
(fma.f64 1 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) 2) (cbrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
Outputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 2 (fma.f64 -2 x (*.f64 x x)))
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 2 (fma.f64 -2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x))
(fma.f64 -2 (*.f64 x x) (+.f64 x x))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (pow.f64 x 3)))
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x (pow.f64 x 3)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2 x) (pow.f64 x 3))))
(fma.f64 -2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2 x (pow.f64 x 3))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) x))
(+.f64 (*.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x)))
(fma.f64 5/6 (pow.f64 x 3) (+.f64 1 (fma.f64 -3/2 (*.f64 x x) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(*.f64 x (/.f64 2 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (exp.f64 (*.f64 -1 x)))
(fma.f64 2 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (exp.f64 x)))) 1)
(*.f64 2 (exp.f64 x))
(*.f64 2 (exp.f64 x))
(*.f64 (*.f64 2 (exp.f64 x)) 1)
(*.f64 2 (exp.f64 x))
(*.f64 (exp.f64 x) 2)
(*.f64 2 (exp.f64 x))
(*.f64 1 (*.f64 2 (exp.f64 x)))
(*.f64 2 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 2 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 2 (exp.f64 x))) (sqrt.f64 (*.f64 2 (exp.f64 x))))
(*.f64 2 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (*.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 2 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 2 (cbrt.f64 (exp.f64 x))))
(*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) 2))
(*.f64 2 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (exp.f64 x))) 2) (cbrt.f64 (*.f64 2 (exp.f64 x))))
(*.f64 2 (exp.f64 x))
(*.f64 -2 (neg.f64 (exp.f64 x)))
(*.f64 2 (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) -2)
(*.f64 2 (exp.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 2 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 2 (cbrt.f64 (exp.f64 x))))
(*.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 2 (exp.f64 x))) 3) (pow.f64 (exp.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 2 (*.f64 x (*.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 2 (exp.f64 x))) (exp.f64 x))))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 2 (*.f64 x (*.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 2 (exp.f64 x))) (exp.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 2 (*.f64 x (*.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 2 (exp.f64 x))) (exp.f64 x))))))))))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) 1) (exp.f64 x))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (+.f64 1 (*.f64 -2 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (-.f64 1 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 (*.f64 -2 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 1 (+.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(/.f64 (-.f64 1 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (+.f64 1 (*.f64 -2 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 1)
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 2)
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))) 3)
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 3) 1/3)
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(log.f64 (/.f64 (exp.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) (*.f64 2 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x)) 3))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 1 (+.f64 x x)) (exp.f64 x))
(/.f64 (+.f64 1 (*.f64 -2 x)) (exp.f64 x))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(+.f64 (*.f64 (+.f64 x x) (exp.f64 x)) (exp.f64 x))
(fma.f64 (*.f64 2 (exp.f64 x)) x (exp.f64 x))
(+.f64 (*.f64 (+.f64 x x) (exp.f64 x)) (exp.f64 x))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(fma.f64 1 (*.f64 2 (*.f64 x (exp.f64 x))) (exp.f64 x))
(+.f64 (*.f64 (+.f64 x x) (exp.f64 x)) (exp.f64 x))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (*.f64 2 (*.f64 x (exp.f64 x))))
(+.f64 (*.f64 (+.f64 x x) (exp.f64 x)) (exp.f64 x))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 x) (*.f64 (+.f64 x x) (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (sqrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (exp.f64 x))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) (exp.f64 x))) 2) (exp.f64 x))
(+.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (exp.f64 x)))) 2))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 (+.f64 x x) (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (*.f64 2 (exp.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 -2 (*.f64 x (exp.f64 x))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (*.f64 x (*.f64 -2 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) 2) (cbrt.f64 (*.f64 2 (*.f64 x (exp.f64 x)))) (exp.f64 x))
(+.f64 (*.f64 (+.f64 x x) (exp.f64 x)) (exp.f64 x))
(fma.f64 x (*.f64 2 (exp.f64 x)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 (+.f64 x x) (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (*.f64 2 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (*.f64 2 (*.f64 x (exp.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 -2 (*.f64 x (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (*.f64 x (*.f64 -2 (exp.f64 x))))

eval700.0ms (5.6%)

Compiler

Compiled 30831 to 18904 computations (38.7% saved)

prune340.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New114041144
Fresh055
Picked101
Done325
Total1144111155
Error
0.0b
Counts
1155 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
33.8b
(/.f64 (+.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 eps 1))) 2)
16.1b
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
15.6b
(/.f64 2 2)
45.2b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
15.8b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
0.6b
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))))
54.4b
(*.f64 1/2 1)
47.5b
(*.f64 1/2 0)
Compiler

Compiled 328 to 258 computations (21.3% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 35 to 23 computations (34.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1730×add-sqr-sqrt
1714×*-un-lft-identity
1600×add-cube-cbrt
1582×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116315
2211315
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 1 x) (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 1 x) (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 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))))) (#(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 1 x) (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 1 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 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 1 x) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))))

simplify49.0ms (0.4%)

Algorithm
egg-herbie
Rules
1594×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 → 53
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 1 x) (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 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 1 x) (sqrt.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 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 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 1 x) (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 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))
(/.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 1 x) (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (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 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (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 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(*.f64 (/.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 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 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (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 1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (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 1 x)) 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 1 x) (neg.f64 (exp.f64 x))))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 1 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))
(exp.f64 (-.f64 (log1p.f64 x) x))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (-.f64 (log1p.f64 x) x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) x) 1))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))
(exp.f64 (-.f64 (log1p.f64 x) x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize16.0ms (0.1%)

Compiler

Compiled 25 to 11 computations (56% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 29 computations (37% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1006×*-commutative
1004×associate-*r/
798×associate-*l/
622×distribute-lft-in
590×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
125353
2326053
Stop Event
node limit
Counts
3 → 178
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 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 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (/.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 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simplify128.0ms (1%)

Algorithm
egg-herbie
Rules
1108×associate-+l+
990×associate-+r+
660×+-commutative
600×associate-*r*
546×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048910002
113579224
259039224
Stop Event
node limit
Counts
250 → 333
Calls
Call 1
Inputs
2
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1
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(/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 -1 eps))
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(/.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 1 (+.f64 x (*.f64 x (*.f64 eps eps)))) (+.f64 -1 eps))
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (*.f64 x (+.f64 -1 eps)))
(/.f64 (*.f64 1 (+.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 x (-.f64 (*.f64 eps eps) 1)) (-.f64 eps -1))
(/.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (neg.f64 (+.f64 1 (*.f64 eps eps)))) (neg.f64 (+.f64 -1 eps)))
(/.f64 (*.f64 x (neg.f64 (+.f64 -1 (pow.f64 eps 3)))) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 1 (*.f64 eps eps)))) (sqrt.f64 (+.f64 -1 eps)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 1 (*.f64 eps eps)))) (cbrt.f64 (+.f64 -1 eps)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) x) (-.f64 eps -1))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (*.f64 eps eps))) x) (neg.f64 (+.f64 -1 eps)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 eps 3))) x) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) 1) (+.f64 -1 eps))
(/.f64 (*.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) 1) (*.f64 x (+.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) 1) (+.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 (sqrt.f64 (+.f64 -1 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (+.f64 -1 eps)))) (sqrt.f64 (+.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) 1) (+.f64 -1 eps))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (cbrt.f64 (+.f64 -1 eps))) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 1 (*.f64 eps eps))) (/.f64 1 (+.f64 -1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 -1 (pow.f64 eps 3))) (/.f64 1 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (+.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 x (+.f64 -1 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 -1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 x (+.f64 -1 eps))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(+.f64 1 (expm1.f64 (*.f64 x (+.f64 -1 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 0)
(+.f64 (expm1.f64 (*.f64 x (+.f64 -1 eps))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))) 2)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 1))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(*.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 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) -1)) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) 1) (pow.f64 (exp.f64 x) eps))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (E.f64) (*.f64 x (+.f64 -1 eps)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 2)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
Outputs
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps))))
(-.f64 2 (fma.f64 eps x x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(-.f64 (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 2) (fma.f64 eps x x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 2 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 2) (fma.f64 eps x x)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 (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))) (fma.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)) 1))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (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)))) (fma.f64 (neg.f64 eps) (/.f64 x (exp.f64 x)) 1))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 1 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 1 eps)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
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(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 1))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 -1 eps)))) (-.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) 2)) (-.f64 1 (exp.f64 (fma.f64 eps x (neg.f64 x))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))) 2)) (-.f64 1 (exp.f64 (fma.f64 eps x (neg.f64 x))))))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(/.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) -1)) (pow.f64 (exp.f64 x) eps))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 -1 eps))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) -1) 1) (pow.f64 (exp.f64 x) eps))
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))
(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 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (E.f64) (*.f64 x (+.f64 -1 eps)))
(pow.f64 (E.f64) (-.f64 (*.f64 eps x) x))
(pow.f64 (E.f64) (fma.f64 eps x (neg.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 -1 eps))) 2)) (cbrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 -1 eps)))) (sqrt.f64 (*.f64 x (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 -1 eps) 2)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 -1 eps))))
(fabs.f64 (exp.f64 (fma.f64 eps x (neg.f64 x))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(exp.f64 (fma.f64 eps x (neg.f64 x)))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 103 to 77 computations (25.2% saved)

series9.0ms (0.1%)

Counts
4 → 56
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
1.0ms
eps
@0
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
x
@0
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
x
@-inf
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@-inf
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))

rewrite125.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1932×associate-*r/
1584×associate-*l/
360×add-sqr-sqrt
354×pow1
354×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01794
136182
2484682
Stop Event
node limit
Counts
4 → 392
Calls
Call 1
Inputs
(*.f64 (-.f64 1 eps) x)
(*.f64 (+.f64 eps 1) x)
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 eps) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 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 x (neg.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 eps) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 x) (*.f64 (neg.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 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 x) (*.f64 (neg.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 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> 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(-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 1 (*.f64 eps eps)) x)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 eps 3)) x)) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) 1)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps)))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 eps) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 eps eps)))) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (pow.f64 eps 3)))) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 -1 (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 -1 (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((#(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))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 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 (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 (exp.f64 x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (#(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 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))))) (#(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))))))))

simplify167.0ms (1.3%)

Algorithm
egg-herbie
Rules
1208×associate-/l*
1130×associate-*r*
994×associate-*l*
704×+-commutative
676×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093722500
1239921516
Stop Event
node limit
Counts
448 → 614
Calls
Call 1
Inputs
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)
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (*.f64 -1 (exp.f64 (*.f64 -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 (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 (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 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 (-.f64 1 eps) x) 0)
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.f64 (log.f64 (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 x (neg.f64 eps)) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(+.f64 (+.f64 0 x) (*.f64 x (neg.f64 eps)))
(+.f64 (+.f64 0 x) (*.f64 (neg.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 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 (-.f64 0 x) (*.f64 x (neg.f64 eps)))
(-.f64 (-.f64 0 x) (*.f64 (neg.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 x (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(/.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 -1 x) 1) (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(/.f64 (*.f64 (*.f64 -1 x) 1) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 (neg.f64 x) 1) (/.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
(/.f64 (*.f64 (neg.f64 x) 1) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (*.f64 eps eps)) x)) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 eps 3)) x)) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) 1)) (+.f64 1 eps))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps)))) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 (neg.f64 eps) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 eps))))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 eps eps)))) (-.f64 -1 eps))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (pow.f64 eps 3)))) (neg.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (*.f64 -1 (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 x (*.f64 -1 (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 -1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 eps eps)) x)) (+.f64 1 eps))
(/.f64 (*.f64 -1 (*.f64 (-.f64 1 (pow.f64 eps 3)) x)) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) 1)) (+.f64 1 eps))
(/.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps)))) (+.f64 1 eps))
(/.f64 (*.f64 (*.f64 -1 x) (+.f64 1 (pow.f64 (neg.f64 eps) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 eps))))
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(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) x) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps)))) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/12)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1)))))) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))))) (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) 1/12) (fma.f64 (pow.f64 eps 6) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) 1/360) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1) (*.f64 eps eps))))) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 (pow.f64 eps 4) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/12)) (fma.f64 (pow.f64 eps 6) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 6) 1/360)) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1))))))) (neg.f64 (exp.f64 (neg.f64 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(-.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) 2)
(fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2)
(fma.f64 (-.f64 (+.f64 -1 eps) (+.f64 eps 1)) x 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 (fma.f64 (-.f64 (+.f64 -1 eps) (+.f64 eps 1)) x 2) (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 (+.f64 eps 1) 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) (+.f64 1 eps)) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) (+.f64 eps 1)) x 2) (fma.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 1 eps) 3)) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))))))
(+.f64 (fma.f64 (-.f64 (+.f64 -1 eps) (+.f64 eps 1)) x 2) (fma.f64 (*.f64 -1/6 (+.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 eps 1) 3))) (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 (+.f64 eps 1) 2))))))
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1)
(-.f64 1 (fma.f64 x (neg.f64 eps) x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))))
(+.f64 (-.f64 1 (fma.f64 x (neg.f64 eps) x)) (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 (*.f64 x x) 1/2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))
(+.f64 1 (+.f64 (*.f64 x (+.f64 -1 eps)) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 eps) 2))) (*.f64 -1/6 (pow.f64 (fma.f64 x (neg.f64 eps) x) 3)))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 x (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 (-.f64 1 eps) x) 0)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.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 (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 (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 (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 x (neg.f64 eps)) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (+.f64 0 x) (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(+.f64 (+.f64 0 x) (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.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 (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 (+.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 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (+.f64 -1 eps))
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(*.f64 x (+.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (*.f64 x eps))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(*.f64 x (-.f64 1 eps))
(fma.f64 x (neg.f64 eps) x)
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(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 3)
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3) 1/3)
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps))) 3))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))) 1))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) -1)
(/.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (E.f64) (fma.f64 x (neg.f64 eps) x))
(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(exp.f64 (*.f64 x (+.f64 -1 eps)))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) 1/3)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 eps) x))) (sqrt.f64 (fma.f64 x (neg.f64 eps) x)))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 eps) x)) 2)) (cbrt.f64 (fma.f64 x (neg.f64 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) x) (-.f64 1 eps))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (fma.f64 x (neg.f64 eps) x))) (sqrt.f64 (fma.f64 x (neg.f64 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 eps) x)) 2)) (cbrt.f64 (fma.f64 x (neg.f64 eps) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))
(pow.f64 (exp.f64 x) (-.f64 1 eps))

eval494.0ms (3.9%)

Compiler

Compiled 29076 to 19973 computations (31.3% saved)

prune244.0ms (1.9%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New99461000
Fresh134
Picked101
Done156
Total997141011
Error
0.0b
Counts
1011 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
16.3b
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
1.0b
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
33.8b
(/.f64 (+.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 eps 1))) 2)
16.1b
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps x)))) (-.f64 (*.f64 eps x) x)))) 2)
16.2b
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2)
15.6b
(/.f64 2 2)
45.2b
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
15.8b
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
0.6b
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))))
47.2b
(*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x))))
15.8b
(*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))))
54.4b
(*.f64 1/2 1)
47.5b
(*.f64 1/2 0)
Compiler

Compiled 209 to 162 computations (22.5% saved)

regimes48.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 1)
(/.f64 2 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))))
(/.f64 (+.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 eps 1))) 2)
(*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2)
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))) 2)
(*.f64 1/2 (+.f64 (-.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))
(/.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 1 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps x)))) (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 x eps) x) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x)))))
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 -1/2 (/.f64 (exp.f64 x) (*.f64 x x))))) (/.f64 x (exp.f64 x)))) (/.f64 x (exp.f64 x)))))
Outputs
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
Calls

4 calls:

14.0ms
x
14.0ms
eps
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
3.0ms
(-.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
0.6b1x
0.6b1eps
0.6b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.6b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 589 to 398 computations (32.4% saved)

regimes25.0ms (0.2%)

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

2 calls:

10.0ms
eps
9.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
0.6b1eps
Compiler

Compiled 248 to 180 computations (27.4% saved)

regimes32.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 1)
(/.f64 2 2)
(*.f64 1/2 (-.f64 2 (*.f64 x x)))
(/.f64 (+.f64 2 (*.f64 eps (neg.f64 x))) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))))
(/.f64 (+.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) x)) (-.f64 eps 1))) 2)
(*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps (neg.f64 x)))) 2)
Outputs
(*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8))))))))
(*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x))))
Calls

2 calls:

17.0ms
eps
12.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
14.4b3eps
Compiler

Compiled 104 to 79 computations (24% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
72.0ms
5.848747227677459e-6
78.91329554195327
Results
34.0ms61×body1024valid
12.0ms38×body512valid
9.0ms59×body256infinite
7.0ms36×body256valid
7.0msbody2048valid
Compiler

Compiled 333 to 272 computations (18.3% saved)

regimes27.0ms (0.2%)

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

2 calls:

15.0ms
eps
10.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
14.4b3eps
Compiler

Compiled 87 to 68 computations (21.8% saved)

bsearch65.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
5.848747227677459e-6
78.91329554195327
Results
29.0ms58×body1024valid
14.0ms44×body512valid
7.0ms48×body256infinite
6.0msbody2048valid
6.0ms34×body256valid
Compiler

Compiled 288 to 245 computations (14.9% saved)

regimes25.0ms (0.2%)

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

2 calls:

13.0ms
eps
9.0ms
x
Results
ErrorSegmentsBranch
0.9b2x
14.4b3eps
Compiler

Compiled 47 to 38 computations (19.1% saved)

bsearch65.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
65.0ms
5.848747227677459e-6
78.91329554195327
Results
28.0ms58×body1024valid
13.0ms42×body512valid
8.0ms51×body256infinite
7.0msbody2048valid
6.0ms35×body256valid
Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes17.0ms (0.1%)

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

2 calls:

10.0ms
eps
6.0ms
x
Results
ErrorSegmentsBranch
1.1b2x
14.4b3eps
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch68.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
78.91329554195327
1.9436055445882476e+21
Results
25.0ms50×body1024valid
16.0ms92×body256valid
11.0ms71×body256infinite
8.0ms26×body512valid
6.0msbody2048valid
Compiler

Compiled 168 to 161 computations (4.2% saved)

regimes15.0ms (0.1%)

Accuracy

Total -22.1b remaining (-55.6%)

Threshold costs -22.1b (-55.6%)

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

2 calls:

9.0ms
eps
6.0ms
x
Results
ErrorSegmentsBranch
39.9b2x
44.7b3eps
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch71.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
70.0ms
78.91329554195327
1.9436055445882476e+21
Results
26.0ms54×body1024valid
15.0ms86×body256valid
12.0ms72×body256infinite
10.0ms29×body512valid
6.0msbody2048valid
Compiler

Compiled 168 to 161 computations (4.2% saved)

simplify48.0ms (0.4%)

Algorithm
egg-herbie
Rules
28×*-commutative
20×+-commutative
sub-neg
neg-mul-1
cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056276
181276
288276
391276
492276
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))))
(if (<=.f64 x 3/2) (*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))))) (*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x)))))
(if (<=.f64 x 8106479329266893/4503599627370496) (*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))))) (*.f64 1/2 0))
(if (<=.f64 x 799388933858263/562949953421312) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 360) (*.f64 1/2 1) (*.f64 1/2 0))
(*.f64 1/2 0)
Outputs
(*.f64 1/2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))))
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x))))
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))))
(if (<=.f64 x 3/2) (*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))))) (*.f64 1/2 (*.f64 2 (/.f64 x (exp.f64 x)))))
(if (<=.f64 x 8106479329266893/4503599627370496) (*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))))) (*.f64 1/2 0))
(if (<=.f64 x 8106479329266893/4503599627370496) (*.f64 1/2 (*.f64 2 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x (+.f64 1/3 (*.f64 x -1/8)))))))) 0)
(if (<=.f64 x 799388933858263/562949953421312) (*.f64 1/2 (-.f64 2 (*.f64 x x))) (*.f64 1/2 0))
(if (<=.f64 x 799388933858263/562949953421312) (*.f64 1/2 (-.f64 2 (*.f64 x x))) 0)
(if (<=.f64 x 360) (/.f64 2 2) (*.f64 1/2 0))
(if (<=.f64 x 360) 1 0)
(if (<=.f64 x 360) (*.f64 1/2 1) (*.f64 1/2 0))
(if (<=.f64 x 360) 1/2 0)
(*.f64 1/2 0)
0
Compiler

Compiled 120 to 97 computations (19.2% saved)

soundness301.0ms (2.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
053011010
1148010206
2719510072
070416952
1181815608
Stop Event
node limit
node limit
node limit
Compiler

Compiled 545 to 333 computations (38.9% saved)

end62.0ms (0.5%)

Compiler

Compiled 106 to 79 computations (25.5% saved)

Profiling

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