Details

Time bar (total: 12.6s)

analyze154.0ms (1.2%)

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

Compiled 32 to 26 computations (18.8% saved)

sample3.2s (25.4%)

Results
1.4s2057×body1024valid
1.1s4959×body256valid
356.0ms1034×body512valid
203.0ms206×body2048valid
102.0ms445×body256unsamplable
88.0ms502×body256infinite
9.0ms20×body1024infinite
4.0ms13×body512infinite
Bogosity

preprocess52.0ms (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)

simplify41.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
44.22%
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
67.28%
(/.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)
44.27%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.04%
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.04%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
1.91%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series12.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite226.0ms (1.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify329.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
090841845
1252137899
Stop Event
node limit
Counts
417 → 565
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
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(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
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(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
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(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
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(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps))
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(+.f64 (/.f64 1 eps) 1)
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(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
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(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
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(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
(/.f64 (exp.f64 (*.f64 -1 x)) eps)
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(-.f64 (/.f64 1 eps) 1)
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(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (*.f64 (-.f64 1 eps) x) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 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 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 6) 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)))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps) (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) eps))))
(+.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) eps) (fma.f64 -1 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))) 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 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (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 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (-.f64 (/.f64 (*.f64 1 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) eps) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
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(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 x (log.f64 (exp.f64 (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1 eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(*.f64 x (-.f64 1 eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(*.f64 x (-.f64 1 eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(exp.f64 (+.f64 eps -1))
0.05%
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
1.89%
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
4.16%
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 101 to 61 computations (39.6% saved)

series83.0ms (0.7%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
28.0ms
x
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
28.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
8.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
4.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite102.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018126
1386122
25057122
Stop Event
node limit
Counts
4 → 123
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (+.f64 eps -1))
Outputs
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simplify195.0ms (1.5%)

Algorithm
egg-herbie
Rules
942×associate--l+
856×associate--r+
696×associate-*r*
604×fma-def
592×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049410733
114979937
262569847
Stop Event
node limit
Counts
199 → 278
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 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)
(+.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 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
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(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -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
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(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
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(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
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(exp.f64 (-.f64 eps 1))
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(exp.f64 (-.f64 eps 1))
(exp.f64 (neg.f64 (+.f64 1 (*.f64 -1 eps))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) 3)) (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))
(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))) 3)
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(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (exp.f64 (fma.f64 eps x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 1 (/.f64 (exp.f64 (fma.f64 eps x x)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) 1) (/.f64 1 (+.f64 1 (/.f64 1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) 1)) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (/.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) 2))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (-.f64 1 (pow.f64 eps -2)))) (+.f64 -1 (/.f64 1 eps)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (+.f64 1 (pow.f64 eps -3)))) (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(*.f64 (exp.f64 (+.f64 eps -1)) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (exp.f64 -1) (exp.f64 eps))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))
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(pow.f64 (exp.f64 (-.f64 eps 1)) x)
(pow.f64 (exp.f64 x) (-.f64 eps 1))
1
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(*.f64 (/.f64 (-.f64 1 (pow.f64 eps -3)) (/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (-.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (exp.f64 (neg.f64 (fma.f64 eps x x))))) (+.f64 1 (-.f64 (/.f64 -1 eps) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(/.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3)))
(/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (*.f64 (-.f64 1 (pow.f64 eps -3)) (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (/.f64 -1 eps)) (+.f64 -1 (pow.f64 eps -2))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(/.f64 1 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 -1 (neg.f64 (/.f64 -1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (-.f64 -1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(fabs.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)
(exp.f64 (-.f64 eps 1))
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(exp.f64 (-.f64 eps 1))
(*.f64 (exp.f64 (+.f64 eps -1)) 1)
(exp.f64 (-.f64 eps 1))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2))
(exp.f64 (-.f64 eps 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(*.f64 (exp.f64 -1) (exp.f64 eps))
(exp.f64 (-.f64 eps 1))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(exp.f64 (-.f64 eps 1))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(exp.f64 (-.f64 eps 1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(exp.f64 (-.f64 eps 1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(exp.f64 (-.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(exp.f64 (-.f64 eps 1))
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (E.f64) (-.f64 eps 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 eps 1))) (sqrt.f64 (-.f64 eps 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 eps 1)) 2)) (cbrt.f64 (-.f64 eps 1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) 2))
(fabs.f64 (exp.f64 (-.f64 eps 1)))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(exp.f64 (-.f64 eps 1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(exp.f64 (-.f64 eps 1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))

eval752.0ms (5.9%)

Compiler

Compiled 40408 to 29344 computations (27.4% saved)

prune192.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New8367843
Fresh000
Picked101
Done101
Total8387845
Error
0%
Counts
845 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
69.81%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))) 2)
44.27%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
62.41%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.91%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
0.42%
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
25.49%
(/.f64 2 2)
72.28%
(/.f64 0 2)
Compiler

Compiled 286 to 226 computations (21% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
0.01%
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
0.03%
(/.f64 x (exp.f64 x))
Compiler

Compiled 62 to 22 computations (64.5% saved)

series3.0ms (0%)

Counts
3 → 25
Calls

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

rewrite164.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1322×associate-/r*
1138×*-commutative
1064×associate-/l*
658×associate-/r/
406×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01289
126157
2385657
Stop Event
node limit
Counts
3 → 277
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x))) (*.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 -.f64 (/.f64 0 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (exp.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (exp.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (exp.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (*.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (exp.f64 x))) (*.f64 x (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) 1) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) 1) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (neg.f64 (exp.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (pow.f64 (exp.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))))))

simplify182.0ms (1.4%)

Algorithm
egg-herbie
Rules
1412×associate-*r*
1178×associate-*l*
772×associate-/l*
772×*-commutative
714×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068623530
1212921470
Stop Event
node limit
Counts
302 → 502
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)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 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 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (-.f64 (/.f64 0 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)
(+.f64 (-.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) 1)
(-.f64 (/.f64 0 (exp.f64 x)) (*.f64 x (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(*.f64 (exp.f64 x) x)
(*.f64 (*.f64 x (exp.f64 x)) 1)
(*.f64 (*.f64 x (exp.f64 x)) -1)
(*.f64 1 (*.f64 x (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 -1 (*.f64 x (exp.f64 x)))
(*.f64 (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 -1 (exp.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (exp.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (*.f64 x (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (exp.f64 x))) (*.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) 1) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) 1) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (exp.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (exp.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (exp.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(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 (/.f64 (exp.f64 x) x) -1)
(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)))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) 2))) (-.f64 1 (*.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x)))) (-.f64 1 (*.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (+.f64 x 2)))) 1)
(-.f64 (/.f64 0 (exp.f64 x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (*.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 (exp.f64 x) (-.f64 x 2))))
(-.f64 (+.f64 (*.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) 2)))) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 x) 2) (exp.f64 (log1p.f64 (*.f64 x (exp.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 x) 2) (/.f64 0 (exp.f64 x))) (*.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 2))
(*.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) 1)
(*.f64 1 (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) (-.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))))
(*.f64 (+.f64 x 2) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) (-.f64 x 2)) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (-.f64 (*.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) 3) (pow.f64 (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (pow.f64 (*.f64 x (exp.f64 x)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))) (*.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (/.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (exp.f64 x) (-.f64 x 2))))
(/.f64 1 (/.f64 1 (*.f64 (exp.f64 x) (+.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))) (*.f64 (exp.f64 x) (+.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (/.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2)))))))
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(/.f64 (/.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))) 2)) (cbrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) 3)) 1) (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) 3)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2))))))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (pow.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2)))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2)))))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (*.f64 (exp.f64 x) (*.f64 x (*.f64 (exp.f64 x) (+.f64 x 2)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (exp.f64 x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))) (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x)))) (neg.f64 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x)))) (neg.f64 (exp.f64 x))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (+.f64 (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))))) (/.f64 (exp.f64 x) x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x))) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x)))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (+.f64 (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (/.f64 (exp.f64 x) x))
(pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(log.f64 (exp.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(log.f64 (/.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (pow.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(exp.f64 (log.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(log1p.f64 (expm1.f64 (fma.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)))
(fma.f64 1 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
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(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 x)) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x))))))) (*.f64 (neg.f64 (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 x)) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 2 (*.f64 (exp.f64 x) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))))) (*.f64 (neg.f64 (exp.f64 x)) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 2 (*.f64 (exp.f64 x) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 (exp.f64 x) 2) (-.f64 (*.f64 (exp.f64 x) 2) (*.f64 x (exp.f64 x)))))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 x)) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 x)) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))) (exp.f64 x)) x)
(*.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 2 (*.f64 (exp.f64 x) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x))))))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (*.f64 x (exp.f64 x)) 2) (*.f64 2 (*.f64 (exp.f64 x) (-.f64 (*.f64 2 (exp.f64 x)) (*.f64 x (exp.f64 x)))))))))
(pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 1)
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(pow.f64 (sqrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))) 2)
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))) 3)
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(pow.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 3) 1/3)
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 2))
(log.f64 (exp.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (/.f64 (exp.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (pow.f64 (exp.f64 x) (exp.f64 x))))
(-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 (exp.f64 x) (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))))))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2))) 3))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(exp.f64 (log.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(log1p.f64 (expm1.f64 (fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.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 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 1 (*.f64 x (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 x 2)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 1 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 x))) (sqrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (exp.f64 x) (+.f64 x 2))) (*.f64 x (exp.f64 x)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (exp.f64 x))) 2) (cbrt.f64 (*.f64 x (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 x 2)))
(+.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 x 2)) (*.f64 x (exp.f64 x))) (*.f64 2 (*.f64 x (exp.f64 x))))
(fma.f64 x (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 x 2)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize77.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.04%
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.2%
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))
3.92%
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
Compiler

Compiled 180 to 131 computations (27.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite113.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
022128
1513104
27665104
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (fma.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))) (cbrt.f64 (pow.f64 (+.f64 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simplify147.0ms (1.2%)

Algorithm
egg-herbie
Rules
1368×associate--r+
1032×associate-+l-
998×associate--l+
904×associate-+r-
646×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041211937
1122411345
2489511327
Stop Event
node limit
Counts
171 → 257
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x)))))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) x)))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 x))) eps)) (+.f64 (*.f64 -1 x) x)))))
2
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(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))) (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps))) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (-.f64 (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))) (*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) 3) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 3)) (+.f64 (+.f64 (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps))) (pow.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 2)) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2))) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))))
(pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (/.f64 -1 eps)) (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 1 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps)) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))))
(+.f64 1 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1))
(+.f64 (fma.f64 eps x x) (*.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(+.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 0)
(+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) -1) 1)
(+.f64 0 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) -1)
(+.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) x) (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 eps x)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))
(+.f64 (*.f64 (fma.f64 eps x x) -1) (*.f64 (fma.f64 eps x x) (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 eps x)) (*.f64 (-.f64 1 (/.f64 1 eps)) x))
(+.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (fma.f64 eps x x))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps))) (*.f64 x (-.f64 1 (/.f64 1 eps))))
(+.f64 (*.f64 x (-.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps))))
(+.f64 (+.f64 0 (fma.f64 eps x x)) (*.f64 (/.f64 1 eps) (fma.f64 eps x x)))
(+.f64 (+.f64 0 (*.f64 x (+.f64 (/.f64 1 eps) -1))) (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))))
(+.f64 (+.f64 0 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1)) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps))
(+.f64 (+.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 0 (*.f64 (fma.f64 eps x x) (/.f64 1 eps))) (*.f64 (fma.f64 eps x x) -1))
(+.f64 (+.f64 0 (*.f64 (fma.f64 eps x x) -1)) (*.f64 (fma.f64 eps x x) (/.f64 1 eps)))
(+.f64 (+.f64 0 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps)) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1))
(+.f64 (+.f64 0 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 eps x))) (*.f64 (-.f64 1 (/.f64 1 eps)) x))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 0 (*.f64 (/.f64 1 eps) (fma.f64 eps x x))) (fma.f64 eps x x))
(+.f64 (+.f64 0 (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1)))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps)))) (*.f64 x (-.f64 1 (/.f64 1 eps))))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) x) (*.f64 eps x))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 eps x)) x)
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 (*.f64 eps x) 1)) x)
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (neg.f64 (*.f64 eps x))) x)
(-.f64 0 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) 1)
(/.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 eps x x)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 eps x x)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (+.f64 (+.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 0 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3) 1/3)
(neg.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 1 eps))) (fma.f64 eps x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
Outputs
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 x)) x) 1) eps)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps)
(/.f64 (+.f64 -1 (+.f64 x (exp.f64 (neg.f64 x)))) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 -1 x (+.f64 (+.f64 x (exp.f64 (neg.f64 x))) (/.f64 x eps))))) (/.f64 1 eps))
(+.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (/.f64 x eps) 0) (exp.f64 (neg.f64 x)))) (/.f64 1 eps))))
(+.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x eps)) (/.f64 -1 eps)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (+.f64 (exp.f64 (*.f64 -1 x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 -1 x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (/.f64 x eps) x))))))) (/.f64 1 eps))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
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(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
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(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
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(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (fma.f64 eps x x) (/.f64 1 eps)) (*.f64 (fma.f64 eps x x) -1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (fma.f64 eps x x) -1) (*.f64 (fma.f64 eps x x) (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 eps x)) (*.f64 (-.f64 1 (/.f64 1 eps)) x))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1)) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps))) (*.f64 x (-.f64 1 (/.f64 1 eps))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 x (-.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
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(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (+.f64 0 (*.f64 x (+.f64 (/.f64 1 eps) -1))) (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1)) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 eps x))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (fma.f64 eps x x) (/.f64 1 eps))) (*.f64 (fma.f64 eps x x) -1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (fma.f64 eps x x) -1)) (*.f64 (fma.f64 eps x x) (/.f64 1 eps)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) eps)) (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) 1))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 eps x))) (*.f64 (-.f64 1 (/.f64 1 eps)) x))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) (+.f64 (/.f64 1 eps) -1))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (/.f64 1 eps) (fma.f64 eps x x))) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (+.f64 0 (*.f64 eps (*.f64 x (+.f64 (/.f64 1 eps) -1)))) (*.f64 x (+.f64 (/.f64 1 eps) -1)))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(+.f64 (+.f64 0 (*.f64 (*.f64 eps x) (-.f64 1 (/.f64 1 eps)))) (*.f64 x (-.f64 1 (/.f64 1 eps))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) x) (*.f64 eps x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 eps x)) x)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 (*.f64 eps x) 1)) x)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps x))
(+.f64 (+.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (neg.f64 (*.f64 eps x))) x)
(+.f64 x (-.f64 (*.f64 (/.f64 1 eps) (fma.f64 eps x x)) (*.f64 x eps)))
(+.f64 x (-.f64 (/.f64 (fma.f64 x eps x) eps) (*.f64 x eps)))
(-.f64 0 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(*.f64 (fma.f64 eps x x) (neg.f64 (-.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (fma.f64 x eps x)))
(*.f64 (fma.f64 x eps x) (-.f64 -1 (/.f64 -1 eps)))
(-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) 1) 1)
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 eps x x))
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x))
(/.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (fma.f64 eps x x) (/.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 (/.f64 (fma.f64 x eps x) (-.f64 -1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (fma.f64 eps x x) (+.f64 -1 (pow.f64 eps -3))) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (fma.f64 eps x x) (/.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (/.f64 (fma.f64 x eps x) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(/.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (fma.f64 eps eps -1)) (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (/.f64 (+.f64 -1 eps) (fma.f64 eps eps -1)))
(*.f64 (/.f64 (-.f64 (/.f64 x eps) x) (+.f64 -1 eps)) (fma.f64 eps eps -1))
(/.f64 (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) (fma.f64 eps eps -1)))
(/.f64 (*.f64 (*.f64 x (+.f64 (/.f64 1 eps) -1)) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 x (+.f64 -1 (/.f64 1 eps))) (/.f64 (fma.f64 eps eps (-.f64 1 eps)) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 (/.f64 x eps) x) (fma.f64 eps eps (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 eps x x)) (+.f64 -1 (/.f64 -1 eps)))
(/.f64 (fma.f64 eps x x) (/.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(/.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (pow.f64 eps -2))) (+.f64 -1 (/.f64 -1 eps)))
(*.f64 (/.f64 (fma.f64 x eps x) (-.f64 -1 (/.f64 1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (fma.f64 eps x x)) (+.f64 (+.f64 1 (pow.f64 eps -2)) (/.f64 1 eps)))
(/.f64 (fma.f64 eps x x) (/.f64 (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 -1 (pow.f64 eps -3))))
(*.f64 (/.f64 (fma.f64 x eps x) (+.f64 1 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))) (+.f64 -1 (pow.f64 eps -3)))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (+.f64 (+.f64 0 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2)) (*.f64 0 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps))) 3)) (pow.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps))) 2))
(pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 1)
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 2)
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 3)
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3) 1/3)
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(neg.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))
(*.f64 (fma.f64 eps x x) (neg.f64 (-.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (fma.f64 x eps x)))
(*.f64 (fma.f64 x eps x) (-.f64 -1 (/.f64 -1 eps)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 2))
(fabs.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))
(fabs.f64 (*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps))))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 1 eps))) (fma.f64 eps x x)))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps))) 3))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (+.f64 (/.f64 1 eps) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps x x) 3) (pow.f64 (+.f64 -1 (/.f64 1 eps)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x eps x) 3) (pow.f64 (+.f64 -1 (/.f64 1 eps)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(exp.f64 (log.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))) 1))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))))
(*.f64 (fma.f64 eps x x) (-.f64 1 (/.f64 1 eps)))
(*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))
(*.f64 (fma.f64 x eps x) (-.f64 1 (/.f64 1 eps)))

localize33.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 88 to 58 computations (34.1% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1914×add-sqr-sqrt
1898×*-un-lft-identity
1766×add-cube-cbrt
272×pow1
256×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01334
127826
2381726
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (-.f64 1 eps)))
(*.f64 x (+.f64 -1 (neg.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x eps))))))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
1450×associate-/l/
1214×associate-/r/
800×*-commutative
666×associate-/l*
636×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931796
12621536
29021524
339331524
Stop Event
node limit
Counts
104 → 61
Calls
Call 1
Inputs
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 -1 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 0 (+.f64 x (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 0 (+.f64 x (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x -1 (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
Outputs
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 (-.f64 eps 1) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) (neg.f64 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 (*.f64 eps x) x)
(-.f64 0 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps 1))
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(*.f64 x (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps 1))
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(*.f64 x (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(-.f64 (*.f64 eps x) x)
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 eps x) (fma.f64 eps x x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 eps (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (fma.f64 eps eps eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 -1 x (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(+.f64 (*.f64 x eps) (neg.f64 x))
(-.f64 (*.f64 eps x) x)
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x eps) 1))
(-.f64 (*.f64 eps x) x)
(-.f64 0 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 x eps)))) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(/.f64 (*.f64 x (+.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps 1))
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(*.f64 x (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 (fma.f64 x (pow.f64 eps 3) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (*.f64 (+.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 x (/.f64 (+.f64 eps 1) (+.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (+.f64 eps 1)) (fma.f64 eps eps 1))
(*.f64 (fma.f64 eps eps 1) (/.f64 x (+.f64 eps 1)))
(*.f64 x (/.f64 (fma.f64 eps eps 1) (+.f64 eps 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 eps (fma.f64 eps eps 1)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (+.f64 -1 (pow.f64 eps 3))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (neg.f64 x) (*.f64 x eps)))
(-.f64 (*.f64 eps x) x)
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (*.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 eps x) (fma.f64 eps x x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 eps (fma.f64 eps x x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 x (fma.f64 eps eps eps)))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 x eps)))
(neg.f64 (*.f64 x (+.f64 eps 1)))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x eps)))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(+.f64 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 x eps))
(-.f64 (*.f64 eps x) x)
(fma.f64 -1 x (*.f64 x eps))
(-.f64 (*.f64 eps x) x)

eval828.0ms (6.6%)

Compiler

Compiled 42795 to 25241 computations (41% saved)

prune346.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New111281120
Fresh112
Picked101
Done224
Total1116111127
Error
0%
Counts
1127 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
44.27%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
25.92%
(/.f64 (-.f64 (exp.f64 (+.f64 x (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
73.76%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))) 2)
18.79%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
25.47%
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
25.85%
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps))) 2)
25.79%
(/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2)
25.84%
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (+.f64 (*.f64 -1 x) x)))) 2)
0.41%
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
25.49%
(/.f64 2 2)
72.28%
(/.f64 0 2)
Compiler

Compiled 364 to 286 computations (21.4% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.03%
(/.f64 x (exp.f64 x))
Compiler

Compiled 45 to 14 computations (68.9% saved)

localize9.0ms (0.1%)

Compiler

Compiled 24 to 11 computations (54.2% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 60 to 33 computations (45% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite137.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1804×associate-*r/
1406×associate-*l/
486×associate-/r*
298×add-sqr-sqrt
292×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
128548
2402848
Stop Event
node limit
Counts
2 → 169
Calls
Call 1
Inputs
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 1 eps))) (-.f64 1 (*.f64 x eps)))
(*.f64 (neg.f64 x) (-.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 x eps)))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (+.f64 2 (*.f64 x eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 x eps))) (-.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (-.f64 (/.f64 (pow.f64 (*.f64 x eps) 3) (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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simplify157.0ms (1.2%)

Algorithm
egg-herbie
Rules
1242×associate-*r/
876×associate-*l/
786×associate-/l*
772×+-commutative
464×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049411843
1133210623
2564310611
Stop Event
node limit
Counts
217 → 293
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) eps) x))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) eps) x) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
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(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(*.f64 -1 (*.f64 eps x))
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(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
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(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
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(+.f64 (*.f64 eps x) (*.f64 -1 x))
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(*.f64 eps x)
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(-.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
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(-.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 x eps)))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 2 (*.f64 x eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 x eps))) (-.f64 (/.f64 (pow.f64 (*.f64 x eps) 2) (+.f64 1 (*.f64 x eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(-.f64 (/.f64 1 (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (-.f64 (/.f64 (pow.f64 (*.f64 x eps) 3) (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (+.f64 (*.f64 x eps) (expm1.f64 (+.f64 x (*.f64 x eps))))) (/.f64 (pow.f64 (+.f64 1 (*.f64 x eps)) 2) (+.f64 (*.f64 x eps) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(-.f64 (+.f64 (+.f64 2 (*.f64 x eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 1)
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(-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 (+.f64 1 (*.f64 x eps)))) (/.f64 (pow.f64 (*.f64 x eps) 2) (+.f64 1 (*.f64 x eps))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2)))) (/.f64 (pow.f64 (*.f64 x eps) 3) (+.f64 (+.f64 1 (*.f64 x eps)) (pow.f64 (*.f64 x eps) 2))))
(-.f64 (+.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)
(-.f64 (+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 0) (*.f64 x eps))
(*.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 x eps))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 x eps))) 1)
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(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x eps)) 2) (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2)) (+.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (*.f64 x eps) 2)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (*.f64 x eps) 2)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (pow.f64 (+.f64 1 (*.f64 x eps)) 2))) (neg.f64 (+.f64 (*.f64 x eps) (expm1.f64 (+.f64 x (*.f64 x eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (+.f64 1 (*.f64 x eps)) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (+.f64 1 (*.f64 x eps)) 3)) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (*.f64 (+.f64 1 (*.f64 x eps)) (+.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2) (pow.f64 (+.f64 1 (*.f64 x eps)) 2)) 1) (+.f64 (*.f64 x eps) (expm1.f64 (+.f64 x (*.f64 x eps)))))
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(/.f64 (*.f64 -1 (*.f64 (-.f64 1 (pow.f64 eps 3)) x)) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps eps)))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 (-.f64 1 eps) -1) (-.f64 0 (*.f64 x x))) x)
(/.f64 (*.f64 (*.f64 (-.f64 1 eps) -1) (-.f64 0 (pow.f64 x 3))) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (-.f64 1 eps)) x)
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (-.f64 1 eps)) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (neg.f64 (-.f64 1 eps))) x)
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (neg.f64 (-.f64 1 eps))) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps))) x) (+.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 eps) 3)) x) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 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 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps 3))) (*.f64 (sqrt.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (*.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (log.f64 (+.f64 x (*.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
Outputs
2
(+.f64 2 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) eps) x))
(+.f64 2 (*.f64 (-.f64 (neg.f64 (-.f64 1 eps)) eps) x))
(fma.f64 (-.f64 (+.f64 -1 eps) eps) x 2)
(fma.f64 (+.f64 -1 (-.f64 eps eps)) x 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) eps) x) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 2 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) eps) x (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)))))
(+.f64 2 (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 (-.f64 (+.f64 -1 eps) eps) x)))
(+.f64 2 (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 (+.f64 -1 (-.f64 eps eps)) x)))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 eps)) eps) x) (+.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 2 (fma.f64 (-.f64 (neg.f64 (-.f64 1 eps)) eps) x (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 (-.f64 (+.f64 -1 eps) eps) x 2) (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 (+.f64 -1 (-.f64 eps eps)) x 2) (fma.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (*.f64 x x)) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (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 1 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) 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 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) 1))
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) 1))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (*.f64 (neg.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 (*.f64 (-.f64 1 eps) x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (neg.f64 (-.f64 1 eps)) x)
(-.f64 (*.f64 eps x) x)
(-.f64 1 (-.f64 (*.f64 x eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 eps x)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (*.f64 x eps))
(+.f64 (-.f64 1 (*.f64 eps x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 eps x)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 x eps)))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 (-.f64 (+.f64 2 (*.f64 eps x)) 1) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (fma.f64 eps x 1))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 2 (*.f64 x eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) 1)
(+.f64 (-.f64 (+.f64 2 (*.f64 eps x)) 1) (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (fma.f64 eps x 1))
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(/.f64 (*.f64 (*.f64 (-.f64 1 eps) -1) (-.f64 0 (*.f64 x x))) x)
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 eps) x) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 eps) -1) (-.f64 0 (pow.f64 x 3))) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (*.f64 x x) (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) x) (/.f64 (+.f64 -1 eps) x))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (-.f64 1 eps)) x)
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) x) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (-.f64 1 eps)) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (-.f64 1 eps) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 eps) x) (/.f64 (neg.f64 (pow.f64 x 3)) x))
(/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (neg.f64 (-.f64 1 eps))) x)
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (+.f64 -1 eps) x) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (-.f64 0 (pow.f64 x 3)) (neg.f64 (-.f64 1 eps))) (+.f64 (+.f64 0 (*.f64 x x)) (*.f64 0 x)))
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (*.f64 x x) (neg.f64 (-.f64 1 eps))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) x) (/.f64 (+.f64 -1 eps) x))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps))) x) (+.f64 1 eps))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 eps) 3)) x) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 eps))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 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 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.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 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (/.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 x (sqrt.f64 (-.f64 1 eps)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (*.f64 x (sqrt.f64 (-.f64 1 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 eps 3))) (*.f64 (sqrt.f64 (-.f64 1 eps)) x)) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1 eps))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (sqrt.f64 (-.f64 1 (pow.f64 eps 3)))))
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (sqrt.f64 (-.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.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 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.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 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (*.f64 (cbrt.f64 (+.f64 1 eps)) (cbrt.f64 (+.f64 1 eps)))) (cbrt.f64 (+.f64 1 eps)))
(*.f64 (/.f64 x (+.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(*.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 x (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(*.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 x (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (+.f64 x (*.f64 x eps)) 1)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x eps))) 2)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 3)
(fma.f64 x eps x)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3) 1/3)
(fma.f64 x eps x)
(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 x eps)))
(neg.f64 (fma.f64 x eps x))
(neg.f64 (fma.f64 eps x x))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(-.f64 x (*.f64 eps x))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 3))
(fma.f64 x eps x)
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(exp.f64 (log.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x eps x)
(fma.f64 eps x x)
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 x eps))) 1))
(fma.f64 x eps x)
(fma.f64 eps x x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x eps))))
(fma.f64 x eps x)
(fma.f64 eps x x)

localize92.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))
0.01%
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
0.02%
(*.f64 x (neg.f64 (-.f64 1 eps)))
0.2%
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))
Compiler

Compiled 152 to 114 computations (25% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite182.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
694×associate-+l+
640×associate-+r+
562×+-commutative
482×add-sqr-sqrt
476×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020132
1465104
26944104
Stop Event
node limit
Counts
2 → 162
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1)))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 eps 1)))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 -1 eps)) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) (fma.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (*.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1) (fma.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (+.f64 (/.f64 -1 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (+.f64 (*.f64 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simplify292.0ms (2.3%)

Algorithm
egg-herbie
Rules
1544×associate-+l-
1302×associate-+r-
964×associate-+r+
928×+-commutative
866×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052020180
1159019014
2654918784
Stop Event
node limit
Counts
210 → 290
Calls
Call 1
Inputs
(-.f64 2 (/.f64 1 eps))
(-.f64 (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x)) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) (/.f64 1 eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(/.f64 (-.f64 x 1) eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.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 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(*.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2)) (/.f64 1 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(*.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (/.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) eps)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (/.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) eps))) (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 3))))
(/.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2)) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 3)) (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (/.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) eps))))
(/.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (-.f64 (pow.f64 eps -2) (/.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps -2) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2))) (neg.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps -3) (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (/.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) eps)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) 2) (pow.f64 eps -2)) (-.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) (/.f64 1 eps)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))) 1) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) 1))))
(/.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 eps (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3))))) (*.f64 eps (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (neg.f64 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)))) (*.f64 (neg.f64 eps) (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(/.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) eps)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) -1)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (neg.f64 eps)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) eps) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) 1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (neg.f64 eps)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) -1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) (neg.f64 eps)))
(pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(fma.f64 1 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) (/.f64 1 eps))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
Outputs
(-.f64 2 (/.f64 1 eps))
(+.f64 2 (/.f64 -1 eps))
(-.f64 (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x)) (/.f64 1 eps))
(+.f64 2 (-.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 1)) x) (/.f64 1 eps)))
(+.f64 2 (fma.f64 (+.f64 eps (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) -1)) x (/.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x))) (/.f64 1 eps))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 2 (*.f64 (+.f64 eps (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 1)) x))) (/.f64 1 eps))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) 2) (fma.f64 (+.f64 eps (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) -1)) x (/.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 (+.f64 eps (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps))) 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) (/.f64 1 eps))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 2 (fma.f64 (+.f64 eps (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 1)) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 (+.f64 eps (fma.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps) -1)) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) 2)) (/.f64 -1 eps))
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 eps x x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 -1 eps)))
(/.f64 (-.f64 x 1) eps)
(/.f64 (+.f64 x -1) eps)
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))) (/.f64 1 eps))
(-.f64 (+.f64 (-.f64 1 x) (+.f64 (/.f64 x eps) (+.f64 x (exp.f64 (neg.f64 x))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))) 0) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x))))) (/.f64 1 eps))
(-.f64 (+.f64 (-.f64 1 x) (fma.f64 eps (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1)) (+.f64 (/.f64 x eps) (+.f64 x (exp.f64 (neg.f64 x)))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))) 0) (*.f64 (*.f64 eps x) (+.f64 -1 (exp.f64 (neg.f64 x))))) (+.f64 1 (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.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 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (+.f64 (exp.f64 (*.f64 -1 x)) x)))))) (/.f64 1 eps))
(-.f64 (+.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (fma.f64 eps (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1)) (+.f64 (/.f64 x eps) (+.f64 x (exp.f64 (neg.f64 x))))))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 eps x) (+.f64 -1 (exp.f64 (neg.f64 x))))) (+.f64 (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))) 0)) (+.f64 1 (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) 3) -1) (fma.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))) (+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps)))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 3)) (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) (fma.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps)) 1)))
(/.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 eps (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1)) (*.f64 eps (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3))))) (*.f64 eps (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) eps (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (+.f64 (*.f64 -1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (neg.f64 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1))) (*.f64 eps (neg.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))) (*.f64 (neg.f64 eps) (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)))) (*.f64 (neg.f64 eps) (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (neg.f64 eps) (neg.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)))
(/.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) eps)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) eps))
(/.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (*.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 eps (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1)) (*.f64 eps (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1)))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) -1)) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (neg.f64 eps)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps) (neg.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1))) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1))) (*.f64 eps (neg.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) eps) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) 1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) eps))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) eps (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2))) (*.f64 eps (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (neg.f64 eps)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) -1)) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1)) (neg.f64 eps)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 3)) (neg.f64 eps) (neg.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (+.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) 1) (pow.f64 (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)))) (*.f64 (+.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) 1) (pow.f64 (*.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps))) 2)) (neg.f64 eps)))
(pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 1)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 2)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 3)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 3) 1/3)
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 2))
(fabs.f64 (+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)))))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 3))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (*.f64 (fma.f64 x eps x) (+.f64 1 (/.f64 -1 eps))))))
(expm1.f64 (log.f64 (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) (/.f64 1 eps))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))) 1))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 1 (/.f64 1 eps) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 1 eps) x))) 1))
(+.f64 (/.f64 1 eps) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x eps x) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (fma.f64 (fma.f64 eps x x) (+.f64 1 (/.f64 -1 eps)) -1))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 79 to 36 computations (54.4% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1458×add-sqr-sqrt
1442×*-un-lft-identity
1348×add-cube-cbrt
1334×add-cbrt-cube
1322×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11299
217779
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 x (*.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x eps))) (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x eps x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x eps x)) (sqrt.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x eps x)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2) (cbrt.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (/.f64 1 (-.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (-.f64 x (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))) (neg.f64 (-.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x eps x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x eps x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) x)))))

simplify60.0ms (0.5%)

Algorithm
egg-herbie
Rules
962×associate-+r+
770×associate-+l+
674×*-commutative
598×associate-*r/
566×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01001059
12441019
29641019
335461019
Stop Event
node limit
Counts
63 → 49
Calls
Call 1
Inputs
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 (+.f64 eps 1) x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(*.f64 -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 1 (fma.f64 x eps x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x eps))) (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 x (*.f64 x eps))))
(*.f64 x (+.f64 1 eps))
(*.f64 x (+.f64 eps 1))
(*.f64 (fma.f64 x eps x) 1)
(*.f64 1 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (fma.f64 x eps x)) (sqrt.f64 (fma.f64 x eps x)))
(*.f64 (cbrt.f64 (fma.f64 x eps x)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2) (cbrt.f64 (fma.f64 x eps x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (/.f64 1 (-.f64 x (*.f64 x eps))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))
(*.f64 (+.f64 eps 1) x)
(/.f64 1 (/.f64 (-.f64 x (*.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (-.f64 x (*.f64 x eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))) (neg.f64 (-.f64 x (*.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))
(pow.f64 (fma.f64 x eps x) 1)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(exp.f64 (log.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x eps x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 1 (*.f64 x eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) x)
Outputs
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))
(fma.f64 eps x x)
x
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(+.f64 (*.f64 eps x) x)
(fma.f64 eps x x)
(-.f64 (+.f64 1 (fma.f64 x eps x)) 1)
(fma.f64 eps x x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x eps))) (/.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 x (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(*.f64 x (+.f64 1 eps))
(fma.f64 eps x x)
(*.f64 x (+.f64 eps 1))
(fma.f64 eps x x)
(*.f64 (fma.f64 x eps x) 1)
(fma.f64 eps x x)
(*.f64 1 (fma.f64 x eps x))
(fma.f64 eps x x)
(*.f64 (sqrt.f64 (fma.f64 x eps x)) (sqrt.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(*.f64 (cbrt.f64 (fma.f64 x eps x)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))
(fma.f64 eps x x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2) (cbrt.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (/.f64 1 (-.f64 x (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 eps x) (+.f64 eps -1)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 eps 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 eps (+.f64 eps -1)))))
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(/.f64 1 (/.f64 (-.f64 x (*.f64 x eps)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 eps x) (+.f64 eps -1)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 eps 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 eps (+.f64 eps -1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2)) (-.f64 x (*.f64 x eps)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 eps x) (+.f64 eps -1)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 eps 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 eps (+.f64 eps -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x eps)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 eps x) (+.f64 eps -1)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 eps 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 eps (+.f64 eps -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x eps) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))) (neg.f64 (-.f64 x (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)) (-.f64 x (*.f64 eps x)))
(-.f64 (*.f64 (/.f64 x (-.f64 eps 1)) (*.f64 eps eps)) (/.f64 x (-.f64 eps 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x eps) (-.f64 (*.f64 x eps) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 eps (-.f64 (*.f64 eps x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 eps x) (+.f64 eps -1)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 eps 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 eps (+.f64 eps -1)))))
(pow.f64 (fma.f64 x eps x) 1)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) 3)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (fma.f64 x eps x) 3) 1/3)
(fma.f64 eps x x)
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fma.f64 eps x x)
(log.f64 (exp.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(exp.f64 (log.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x eps x)) 1))
(fma.f64 eps x x)
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 eps x x)
(fma.f64 1 x (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 1 (*.f64 x eps) x)
(fma.f64 eps x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) x)
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) x)
(fma.f64 eps x x)

eval517.0ms (4.1%)

Compiler

Compiled 29861 to 19414 computations (35% saved)

prune220.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New8857892
Fresh134
Picked101
Done246
Total88914903
Error
0%
Counts
903 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
44.27%
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
25.92%
(/.f64 (-.f64 (exp.f64 (+.f64 x (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))))) 2)
73.76%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))) 1))) 2)
18.79%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps)))))) 2)
73.45%
(/.f64 (-.f64 2 (/.f64 1 eps)) 2)
25.47%
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
25.85%
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 x eps))) 2)
25.66%
(/.f64 (+.f64 (exp.f64 (*.f64 eps x)) (-.f64 1 (*.f64 x eps))) 2)
73.78%
(/.f64 (+.f64 2 (-.f64 (*.f64 (+.f64 eps (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)) 1)) x) (/.f64 1 eps))) 2)
25.79%
(/.f64 (+.f64 2 (*.f64 x (neg.f64 x))) 2)
25.84%
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) 2)
0.41%
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
25.49%
(/.f64 2 2)
72.28%
(/.f64 0 2)
Compiler

Compiled 414 to 321 computations (22.5% saved)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 68 to 35 computations (48.5% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1290×associate-*r/
1072×associate-*l/
494×associate-/r*
360×associate-/r/
308×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01437
130233
2414233
Stop Event
node limit
Counts
1 → 117
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (+.f64 -1 (neg.f64 eps))))))
Outputs
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simplify162.0ms (1.3%)

Algorithm
egg-herbie
Rules
1088×+-commutative
716×associate-*r*
644×times-frac
638×associate-*l*
558×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035312631
1101112197
2653911381
Stop Event
node limit
Counts
141 → 258
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (exp.f64 (*.f64 -1 x)))))
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(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) 1) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
Outputs
(+.f64 1 (exp.f64 (*.f64 -1 x)))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (exp.f64 (*.f64 -1 x))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (exp.f64 (*.f64 -1 x)))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 1/2) 1/2)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) 1/2))) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))
(+.f64 (*.f64 eps (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (pow.f64 eps 3)) (exp.f64 (*.f64 -1 x))))))
(fma.f64 eps (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (pow.f64 eps 3) (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 1/2) 1/2)) (fma.f64 (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) -1/6))) (pow.f64 eps 3) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) 1/2))) (fma.f64 (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) -1/6))) (pow.f64 eps 3) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))) 1))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
2
(+.f64 2 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x))
(+.f64 2 (*.f64 x (+.f64 eps (+.f64 -1 (neg.f64 eps)))))
(fma.f64 x (-.f64 eps (+.f64 1 eps)) 2)
(+.f64 2 (+.f64 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 2))))
(+.f64 2 (fma.f64 (+.f64 eps (+.f64 -1 (neg.f64 eps))) x (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 eps eps))))))
(+.f64 (fma.f64 x (-.f64 eps (+.f64 1 eps)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 eps) 2))))
(+.f64 2 (*.f64 x (+.f64 (-.f64 eps (+.f64 1 eps)) (*.f64 x (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 eps) 2)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) x) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 eps) 2)) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 -1/6 (pow.f64 (+.f64 1 eps) 3) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 (+.f64 eps (+.f64 -1 (neg.f64 eps))) x (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 eps eps)))))))
(fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3))) (+.f64 (fma.f64 x (-.f64 eps (+.f64 1 eps)) 2) (*.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 eps) 2)))))
(+.f64 (fma.f64 x (-.f64 eps (+.f64 1 eps)) 2) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 eps) 2))) (*.f64 x (fma.f64 1/6 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 (+.f64 1 eps) 3)))))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
(+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) x)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) eps))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 6) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 6)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) eps) 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) 3)) 1) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x (*.f64 x (+.f64 -1 eps)))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 6) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 x) eps) 6)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 -1 eps)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (pow.f64 (pow.f64 (exp.f64 x) eps) 6)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x (*.f64 x (+.f64 -1 eps))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 4) (*.f64 (exp.f64 (*.f64 x (+.f64 eps (+.f64 -1 eps)))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 4) (*.f64 (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x)) (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)))
(/.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) eps))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) 1) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x (*.f64 x (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x (*.f64 x (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (exp.f64 (+.f64 (*.f64 eps x) (*.f64 x (+.f64 eps -1)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (fma.f64 eps x (*.f64 x (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (*.f64 x (+.f64 eps (+.f64 -1 eps))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))) 2) (exp.f64 (-.f64 (*.f64 eps (+.f64 x x)) x))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 1)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 2)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 3)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3) 1/3)
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))
(fabs.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x)))))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) 3))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 1 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 1 (exp.f64 (neg.f64 x))))

localize8.0ms (0.1%)

Compiler

Compiled 20 to 16 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
0.03%
(/.f64 x (exp.f64 x))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
0.0ms
x
@-inf
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
0.0ms
x
@inf
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))

rewrite75.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1012×*-commutative
956×associate-/r*
820×distribute-lft-in
796×distribute-rgt-in
726×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120423
2295723
Stop Event
node limit
Counts
1 → 101
Calls
Call 1
Inputs
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
Outputs
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simplify101.0ms (0.8%)

Algorithm
egg-herbie
Rules
1848×associate-/r*
980×+-commutative
822×associate-+l+
730×associate-+r+
456×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03427229
110216713
242926645
Stop Event
node limit
Counts
113 → 213
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4)))))
(*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x)
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(-.f64 2 (-.f64 x (/.f64 x (exp.f64 x))))
(-.f64 (-.f64 2 x) (neg.f64 (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (/.f64 x (exp.f64 x))) 1 (/.f64 x (exp.f64 x))))
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(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (-.f64 1 (-.f64 2 x)))
(-.f64 (exp.f64 (log.f64 (-.f64 3 x))) (-.f64 1 (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)))) 1)
(-.f64 (+.f64 2 (/.f64 x (exp.f64 x))) x)
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(-.f64 (/.f64 4 (+.f64 2 x)) (-.f64 (/.f64 x (/.f64 (+.f64 2 x) x)) (/.f64 x (exp.f64 x))))
(-.f64 (/.f64 8 (+.f64 4 (*.f64 x (+.f64 2 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 2 x)))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (-.f64 2 x) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)
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(-.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 4 (+.f64 2 x))) (/.f64 x (/.f64 (+.f64 2 x) x)))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) (/.f64 8 (+.f64 4 (*.f64 x (+.f64 2 x))))) (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(-.f64 (+.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 0) x)
(-.f64 (-.f64 (+.f64 2 (/.f64 x (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (-.f64 (+.f64 2 (/.f64 x (exp.f64 x))) 0) x)
(-.f64 (-.f64 (+.f64 2 (/.f64 x (exp.f64 x))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 1)
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(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x)))))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (neg.f64 (exp.f64 x))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (pow.f64 (-.f64 2 x) 2) 3) (pow.f64 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (*.f64 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)))))
(/.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (/.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 1 (/.f64 1 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2))) (/.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)))) (/.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (-.f64 2 x) 2)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (-.f64 2 x) 3)) (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (*.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2))) (*.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (-.f64 2 x) 2))))
(/.f64 (-.f64 4 (*.f64 (-.f64 x (/.f64 x (exp.f64 x))) (-.f64 x (/.f64 x (exp.f64 x))))) (+.f64 2 (-.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 2 x) 3) 3) (pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))) (+.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (-.f64 2 x) 3)) (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (pow.f64 (-.f64 2 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 2 x) 2) 3) (pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) 3)) (*.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))) (+.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (-.f64 2 x) 2))))))
(/.f64 (-.f64 8 (pow.f64 (-.f64 x (/.f64 x (exp.f64 x))) 3)) (+.f64 4 (*.f64 (-.f64 x (/.f64 x (exp.f64 x))) (+.f64 2 (-.f64 x (/.f64 x (exp.f64 x)))))))
(/.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (*.f64 (exp.f64 x) (+.f64 2 x)))
(/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (exp.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(/.f64 (+.f64 2 (+.f64 x (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x)))) (*.f64 (+.f64 2 x) (/.f64 (exp.f64 x) x)))
(/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(/.f64 (+.f64 (*.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2))) (neg.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) 1) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (sqrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))) (sqrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))) (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))) (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (-.f64 2 x)))) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (/.f64 x (exp.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (+.f64 2 x)) (exp.f64 x))
(/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x)))) (+.f64 2 x)) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x))) (+.f64 2 x)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (exp.f64 x)) (+.f64 2 x))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (exp.f64 x)) (+.f64 4 (*.f64 x (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x)) (+.f64 2 x))
(/.f64 (/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (/.f64 (exp.f64 x) x)) (+.f64 4 (*.f64 x (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x))) (neg.f64 (exp.f64 x))) (+.f64 2 x))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (neg.f64 (exp.f64 x))) (+.f64 4 (*.f64 x (+.f64 2 x))))
(pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))
(fma.f64 1 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(fma.f64 1 (/.f64 x (exp.f64 x)) (-.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))) (-.f64 2 x))
(fma.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (-.f64 2 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))) (-.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (cbrt.f64 (-.f64 2 x)) (/.f64 x (exp.f64 x)))
Outputs
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 1/2 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 3) (neg.f64 (*.f64 x x))))
(+.f64 2 (-.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 x x)))
(-.f64 (*.f64 1/2 (pow.f64 x 3)) (-.f64 (*.f64 x x) 2))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 3) (-.f64 (*.f64 -1/6 (pow.f64 x 4)) (*.f64 x x))))
(*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x)
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 x (expm1.f64 (neg.f64 x)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(+.f64 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) 1) x) 2)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 x (neg.f64 (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (neg.f64 x))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(+.f64 2 (neg.f64 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x))))))
(-.f64 2 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(+.f64 2 (neg.f64 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x))))))
(-.f64 2 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 (exp.f64 x))) x)))
(+.f64 2 (neg.f64 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x))))))
(-.f64 2 (*.f64 x (-.f64 1 (exp.f64 (neg.f64 x)))))
(-.f64 2 (-.f64 x (/.f64 x (exp.f64 x))))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(-.f64 (-.f64 2 x) (neg.f64 (/.f64 x (exp.f64 x))))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (/.f64 -1 (exp.f64 x)) x (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (expm1.f64 (neg.f64 x)) 2) (fma.f64 (/.f64 -1 (exp.f64 x)) x (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (/.f64 x (exp.f64 x))) 1 (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) 1 (/.f64 x (exp.f64 x))))
(+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 x (expm1.f64 (neg.f64 x)) 2) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (exp.f64 x)))) (sqrt.f64 (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) 1 (/.f64 x (exp.f64 x))))
(+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 x (expm1.f64 (neg.f64 x)) 2) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (exp.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (/.f64 x (exp.f64 x))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) 1 (/.f64 x (exp.f64 x))))
(+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) (+.f64 (/.f64 x (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 x (expm1.f64 (neg.f64 x)) 2) (-.f64 (/.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (-.f64 1 (-.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (+.f64 -1 x))
(+.f64 (-.f64 2 x) (expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x)))))
(-.f64 (exp.f64 (log.f64 (-.f64 3 x))) (-.f64 1 (/.f64 x (exp.f64 x))))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)))) 1)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(-.f64 (+.f64 2 (/.f64 x (exp.f64 x))) x)
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(-.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))) (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))))
(-.f64 (/.f64 4 (+.f64 2 x)) (-.f64 (/.f64 x (/.f64 (+.f64 2 x) x)) (/.f64 x (exp.f64 x))))
(+.f64 (-.f64 (/.f64 4 (+.f64 2 x)) (*.f64 (/.f64 x (+.f64 2 x)) x)) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 4 (+.f64 2 x)) (*.f64 x (/.f64 x (+.f64 2 x)))))
(-.f64 (/.f64 8 (+.f64 4 (*.f64 x (+.f64 2 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 2 x)))) (/.f64 x (exp.f64 x))))
(+.f64 (-.f64 (/.f64 8 (+.f64 4 (*.f64 x (+.f64 2 x)))) (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 2 x))))) (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 8 (fma.f64 x (+.f64 2 x) 4)) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 2 x) 4))))
(-.f64 (+.f64 (-.f64 2 x) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (+.f64 -1 x))
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(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
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(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))) (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))) (cbrt.f64 (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 2 (+.f64 x (/.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (-.f64 2 x)))) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (/.f64 x (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (*.f64 (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (/.f64 x (exp.f64 x)))) (+.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (-.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (-.f64 2 x))) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (+.f64 x (+.f64 (/.f64 x (exp.f64 x)) -2)) (pow.f64 (-.f64 2 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (+.f64 x (+.f64 (/.f64 x (exp.f64 x)) -2)) (pow.f64 (-.f64 2 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 (/.f64 x (exp.f64 x)) 3)) (fma.f64 (/.f64 x (exp.f64 x)) (+.f64 x (+.f64 (/.f64 x (exp.f64 x)) -2)) (pow.f64 (-.f64 2 x) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (+.f64 2 x)) (exp.f64 x))
(/.f64 (fma.f64 x (+.f64 2 x) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (*.f64 (exp.f64 x) (+.f64 2 x)))
(/.f64 (fma.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)) (*.f64 x (+.f64 2 x))) (*.f64 (exp.f64 x) (+.f64 2 x)))
(/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x)))) (+.f64 2 x)) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 2 x) (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x))) (+.f64 2 x)) (exp.f64 x)) x)
(/.f64 (+.f64 2 (fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x) x)) (*.f64 (+.f64 2 x) (/.f64 (exp.f64 x) x)))
(*.f64 x (/.f64 (+.f64 2 (fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x) x)) (*.f64 (exp.f64 x) (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x))) (+.f64 2 x)) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (+.f64 2 x))) (*.f64 (+.f64 2 x) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (+.f64 2 x) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x))))) (*.f64 (exp.f64 x) (+.f64 (neg.f64 x) -2)))
(/.f64 (fma.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x)) (*.f64 x (-.f64 -2 x))) (*.f64 (exp.f64 x) (-.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (exp.f64 x))
(/.f64 (fma.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3)) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (exp.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(/.f64 (fma.f64 x (fma.f64 x (+.f64 2 x) 4) (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3)))) (*.f64 (exp.f64 x) (fma.f64 x (+.f64 2 x) 4)))
(/.f64 (/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (/.f64 (exp.f64 x) x))
(/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (/.f64 (exp.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)) (fma.f64 x (+.f64 2 x) 4)) (*.f64 (fma.f64 x (+.f64 2 x) 4) (/.f64 (exp.f64 x) x)))
(/.f64 (*.f64 x (/.f64 (fma.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)) (fma.f64 x (+.f64 2 x) 4)) (exp.f64 x))) (fma.f64 x (+.f64 2 x) 4))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (+.f64 4 (*.f64 x (+.f64 2 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x (+.f64 2 x) 4) (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))))) (*.f64 (exp.f64 x) (neg.f64 (fma.f64 x (+.f64 2 x) 4))))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 2 x)) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (exp.f64 x)) (+.f64 2 x))
(/.f64 (fma.f64 x (+.f64 2 x) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)))) (*.f64 (exp.f64 x) (+.f64 2 x)))
(/.f64 (fma.f64 (exp.f64 x) (-.f64 4 (*.f64 x x)) (*.f64 x (+.f64 2 x))) (*.f64 (exp.f64 x) (+.f64 2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (exp.f64 x)) (+.f64 4 (*.f64 x (+.f64 2 x))))
(/.f64 (fma.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3)) (*.f64 x (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (exp.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x)))))
(/.f64 (fma.f64 x (fma.f64 x (+.f64 2 x) 4) (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3)))) (*.f64 (exp.f64 x) (fma.f64 x (+.f64 2 x) 4)))
(/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x)) (+.f64 2 x))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 2 x) (*.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x))) (+.f64 2 x)) (exp.f64 x)) x)
(/.f64 (+.f64 2 (fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x) x)) (*.f64 (+.f64 2 x) (/.f64 (exp.f64 x) x)))
(*.f64 x (/.f64 (+.f64 2 (fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 (exp.f64 x) x) x)) (*.f64 (exp.f64 x) (+.f64 2 x))))
(/.f64 (/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (/.f64 (exp.f64 x) x)) (+.f64 4 (*.f64 x (+.f64 2 x))))
(/.f64 (+.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (*.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (/.f64 (exp.f64 x) x)))
(/.f64 (fma.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)) (fma.f64 x (+.f64 2 x) 4)) (*.f64 (fma.f64 x (+.f64 2 x) 4) (/.f64 (exp.f64 x) x)))
(/.f64 (*.f64 x (/.f64 (fma.f64 (/.f64 (exp.f64 x) x) (-.f64 8 (pow.f64 x 3)) (fma.f64 x (+.f64 2 x) 4)) (exp.f64 x))) (fma.f64 x (+.f64 2 x) 4))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 2 x) (neg.f64 x))) (neg.f64 (exp.f64 x))) (+.f64 2 x))
(/.f64 (fma.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (+.f64 2 x))) (*.f64 (+.f64 2 x) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (+.f64 2 x) (*.f64 (exp.f64 x) (-.f64 4 (*.f64 x x))))) (*.f64 (exp.f64 x) (+.f64 (neg.f64 x) -2)))
(/.f64 (fma.f64 (-.f64 4 (*.f64 x x)) (neg.f64 (exp.f64 x)) (*.f64 x (-.f64 -2 x))) (*.f64 (exp.f64 x) (-.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (neg.f64 (exp.f64 x))) (+.f64 4 (*.f64 x (+.f64 2 x))))
(/.f64 (fma.f64 (-.f64 8 (pow.f64 x 3)) (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (+.f64 4 (*.f64 x (+.f64 2 x))))) (*.f64 (+.f64 4 (*.f64 x (+.f64 2 x))) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x (+.f64 2 x) 4) (*.f64 (exp.f64 x) (-.f64 8 (pow.f64 x 3))))) (*.f64 (exp.f64 x) (neg.f64 (fma.f64 x (+.f64 2 x) 4))))
(pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 1)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(pow.f64 (sqrt.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))) 2)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))) 3)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(pow.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 3) 1/3)
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 2))
(fabs.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)))
(fabs.f64 (fma.f64 x (expm1.f64 (neg.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(cbrt.f64 (pow.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x)) 3))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(expm1.f64 (log1p.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(exp.f64 (log.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(log1p.f64 (expm1.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 2 x))
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) -1) x 2)
(fma.f64 x (expm1.f64 (neg.f64 x)) 2)
(fma.f64 1 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(fma.f64 1 (/.f64 x (exp.f64 x)) (-.f64 2 x))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))) (-.f64 2 x))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(fma.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (-.f64 2 x)) (/.f64 x (exp.f64 x)))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))) (-.f64 2 x))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (cbrt.f64 (-.f64 2 x)) (/.f64 x (exp.f64 x)))
(+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x)))
(+.f64 2 (-.f64 (/.f64 x (exp.f64 x)) x))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 54 to 18 computations (66.7% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite97.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1812×associate-*r/
1388×associate-*l/
392×associate-/r*
340×associate-/l*
286×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
126648
2345048
Stop Event
node limit
Counts
2 → 212
Calls
Call 1
Inputs
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 x eps)))
(-.f64 (*.f64 eps x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (*.f64 eps x) (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (-.f64 1 (-.f64 1 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 (-.f64 2 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 (*.f64 eps x)))) (-.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 eps x) 1)) (-.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 (*.f64 eps x) 1)) (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 eps x) 3) (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 x))))))

simplify164.0ms (1.3%)

Algorithm
egg-herbie
Rules
1442×associate--r+
716×fma-def
670×associate-/l*
664×associate-*r*
522×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060014958
1164214234
2757414234
Stop Event
node limit
Counts
260 → 360
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 -1 (*.f64 eps x))
(+.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(+.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (+.f64 1 (*.f64 -1 (*.f64 eps x))))
(*.f64 -1 x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(+.f64 (*.f64 eps x) (*.f64 -1 x))
(*.f64 (-.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 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))
(-.f64 1 (-.f64 (*.f64 eps x) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (*.f64 eps x))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (-.f64 1 (-.f64 1 (*.f64 eps x))))
(-.f64 (exp.f64 (log.f64 (+.f64 (-.f64 2 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 2 (*.f64 eps x)))) (-.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (/.f64 1 (+.f64 (*.f64 eps x) 1)) (-.f64 (/.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 (*.f64 eps x) 1)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (/.f64 1 (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 eps x) 3) (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))) (exp.f64 (-.f64 (*.f64 eps x) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2) (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x)))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (log.f64 (-.f64 2 (*.f64 eps x))))) 1)
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 (+.f64 (*.f64 eps x) 1))) (/.f64 (pow.f64 (*.f64 eps x) 2) (+.f64 (*.f64 eps x) 1)))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (/.f64 1 (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2))))) (/.f64 (pow.f64 (*.f64 eps x) 3) (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))))
(-.f64 (+.f64 (-.f64 1 (*.f64 eps x)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)) 1)
(-.f64 (+.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) 0) (*.f64 eps x))
(*.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x))))
(*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x))) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))) (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))) 2) (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)) (/.f64 1 (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x)))))
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))))
(/.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x))) (/.f64 (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x))) (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)) (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x))))
(/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (-.f64 1 (*.f64 eps x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2))) (/.f64 (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3))) (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) (sqrt.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)))) (/.f64 (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3))) (cbrt.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3)))) (/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))) (cbrt.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2) (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)) (pow.f64 (*.f64 eps x) 2)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (*.f64 eps x) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (*.f64 eps x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 (*.f64 eps x) 1)) (*.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 eps x) 2)))) (*.f64 (exp.f64 x) (+.f64 (*.f64 eps x) 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) eps) (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))) (*.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 eps x) 3)))) (*.f64 (exp.f64 x) (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 2)) (exp.f64 x)) (*.f64 (+.f64 (*.f64 eps x) 1) (pow.f64 (exp.f64 x) eps))) (*.f64 (+.f64 (*.f64 eps x) 1) (exp.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 3)) (exp.f64 x)) (*.f64 (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2))) (pow.f64 (exp.f64 x) eps))) (*.f64 (+.f64 (*.f64 eps x) (+.f64 1 (pow.f64 (*.f64 eps x) 2))) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2))) (neg.f64 (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 eps x) x) 3)) (pow.f64 (-.f64 1 (*.f64 eps x)) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (*.f64 (-.f64 1 (*.f64 eps x)) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2) (pow.f64 (-.f64 1 (*.f64 eps x)) 2)) 1) (+.f64 (*.f64 eps x) (expm1.f64 (-.f64 (*.f64 eps x) x))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2) (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2))) (-.f64 (-.f64 1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)) (pow.f64 (*.f64 eps x) 2))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (*.f64 eps x) 1)))
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(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 eps x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 0 (-.f64 (*.f64 eps x) x))
(+.f64 (neg.f64 x) (*.f64 eps x))
(+.f64 (neg.f64 x) (+.f64 (*.f64 eps x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 eps x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 eps x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 eps x))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (*.f64 eps x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 eps x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 eps x) x))
(+.f64 (+.f64 0 (*.f64 eps x)) (neg.f64 x))
(+.f64 (+.f64 0 (*.f64 eps x)) (*.f64 (neg.f64 x) 1))
(+.f64 (+.f64 0 (neg.f64 x)) (*.f64 eps x))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))
(+.f64 (-.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 x (-.f64 eps 1))
(*.f64 (-.f64 (*.f64 eps x) x) 1)
(*.f64 1 (-.f64 (*.f64 eps x) x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) (sqrt.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2) (cbrt.f64 (-.f64 (*.f64 eps x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 eps x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps x))) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 eps x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (fma.f64 eps x x))
(/.f64 (fma.f64 eps x x) (/.f64 (fma.f64 eps x x) (-.f64 (*.f64 eps x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))) (/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))) (-.f64 (*.f64 eps x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (/.f64 (fma.f64 eps x x) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))) (/.f64 (fma.f64 eps x x) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 eps x) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (neg.f64 (fma.f64 eps x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) 1) (fma.f64 eps x x))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (*.f64 eps x) (neg.f64 x)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 eps x) (neg.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))) (neg.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))) (sqrt.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))) (cbrt.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (*.f64 eps x) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) 1) (-.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 eps x) (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) 1) (neg.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (fma.f64 eps x x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (fma.f64 eps x x))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) x) (+.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) 1) (fma.f64 eps x x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 eps x x)) (cbrt.f64 (fma.f64 eps x x)))) (cbrt.f64 (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (+.f64 eps 1)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(pow.f64 (-.f64 (*.f64 eps x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 eps x) x)))
(fma.f64 eps x (neg.f64 x))
(fma.f64 x eps (neg.f64 x))
(fma.f64 1 (*.f64 eps x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 x))
Outputs
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 1 (exp.f64 (neg.f64 x))))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (exp.f64 (neg.f64 x)))))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 x eps) 2)) (+.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))))
(fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 eps 3) (exp.f64 (neg.f64 x))) (pow.f64 x 3)) (exp.f64 (neg.f64 x))))))
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 x eps) 3)) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 x eps) 2)) 1)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 1 (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 1 (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (-.f64 1 (*.f64 x eps)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 1 (*.f64 x eps)))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (-.f64 1 (*.f64 x eps)))
(*.f64 -1 (*.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 1 (*.f64 x eps)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 eps 1))) (sqrt.f64 (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2) (/.f64 (cbrt.f64 (fma.f64 eps x x)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 eps 1))) 2) (cbrt.f64 (fma.f64 x eps x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 eps 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (fma.f64 eps x x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 4) (*.f64 x (pow.f64 x 3))) (/.f64 (fma.f64 x x (pow.f64 (*.f64 x eps) 2)) (/.f64 1 (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 4) (pow.f64 x 4)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 x eps) 2)) (fma.f64 x eps x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps x) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (fma.f64 eps x x))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x eps) 2) 3) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (*.f64 x eps) 2)))) (/.f64 1 (fma.f64 eps x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 x 6)) (fma.f64 x eps x)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (*.f64 x eps) 2)) (pow.f64 (*.f64 x eps) 4)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 6) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (*.f64 eps x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x eps) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x eps) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 eps 3) (pow.f64 x 6)))) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) x) (+.f64 eps 1))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) 1) (fma.f64 eps x x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 eps x x)) (cbrt.f64 (fma.f64 eps x x)))) (cbrt.f64 (fma.f64 eps x x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (+.f64 eps 1)) x)
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 eps x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x eps x) (pow.f64 (*.f64 x eps) 2)))
(pow.f64 (-.f64 (*.f64 eps x) x) 1)
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) 2)
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 3)
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(pow.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3) 1/3)
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 2))
(fabs.f64 (*.f64 x (-.f64 eps 1)))
(log.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(exp.f64 (log.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 eps x) x)) 1))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 eps x) x)))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(fma.f64 eps x (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(fma.f64 x eps (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(fma.f64 1 (*.f64 eps x) (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 x))
(-.f64 (*.f64 x eps) x)
(*.f64 x (-.f64 eps 1))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))) 1))
0.01%
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))) 1)))
0.02%
(*.f64 x (neg.f64 (-.f64 1 eps)))
0.04%
(+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))
Compiler

Compiled 129 to 56 computations (56.6% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite135.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
768×associate-+l+
534×associate-+r+
498×+-commutative
462×add-sqr-sqrt
456×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019139
1440103
26982103
Stop Event
node limit
Counts
3 → 223
Calls
Call 1
Inputs
(+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))
(-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))) 1)))
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (+.f64 (/.f64 x eps) (*.f64 x (neg.f64 eps)))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x eps) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x eps) (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x eps (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x eps) 2) (fma.f64 x eps (/.f64 x eps))) (/.f64 (pow.f64 (*.f64 x eps) 2) (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 eps (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (/.f64 1 eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x eps (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x eps (/.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x eps (/.f64 x eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (*.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps))) (neg.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (*.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2) (neg.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (/.f64 1 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 x eps (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x eps) 2) (*.f64 (*.f64 x eps) (fma.f64 x eps (/.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (fma.f64 x eps (/.f64 x eps)))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2)) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 x eps (/.f64 x eps)))) (sqrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps (/.f64 x eps))) 2)) (cbrt.f64 (fma.f64 x eps (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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(/.f64 1 eps) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) 2) (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))))))

simplify282.0ms (2.2%)

Algorithm
egg-herbie
Rules
1688×associate-+r-
984×+-commutative
972×fma-def
892×associate-+r+
736×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061019207
1178217089
2748117065
Stop Event
node limit
Counts
295 → 385
Calls
Call 1
Inputs
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(-.f64 2 (/.f64 1 eps))
(-.f64 (+.f64 2 (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x)) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x))) (/.f64 1 eps))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))) (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x)))) (/.f64 1 eps))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(/.f64 (-.f64 x 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
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(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) 3) 1) (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) 1)))
(/.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1)))) (*.f64 eps (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1)) (*.f64 -1 (+.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3))) (*.f64 -1 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (+.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps)) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) -1)) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) 1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(fma.f64 1 (/.f64 1 eps) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(fma.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (/.f64 1 eps))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) 2) (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))
Outputs
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(neg.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
(*.f64 (+.f64 eps (/.f64 -1 eps)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(neg.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
(*.f64 (+.f64 eps (/.f64 -1 eps)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(neg.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
(*.f64 (+.f64 eps (/.f64 -1 eps)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(neg.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
(*.f64 (+.f64 eps (/.f64 -1 eps)) (neg.f64 x))
(/.f64 x eps)
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(-.f64 2 (/.f64 1 eps))
(+.f64 2 (/.f64 -1 eps))
(-.f64 (+.f64 2 (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x)) (/.f64 1 eps))
(+.f64 2 (-.f64 (*.f64 x (+.f64 (/.f64 1 eps) (-.f64 (*.f64 0 eps) 1))) (/.f64 1 eps)))
(+.f64 2 (fma.f64 x (+.f64 (/.f64 1 eps) -1) (/.f64 -1 eps)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x))) (/.f64 1 eps))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 2 (*.f64 x (+.f64 (/.f64 1 eps) (-.f64 (*.f64 0 eps) 1))))) (/.f64 -1 eps))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (fma.f64 x (+.f64 (/.f64 1 eps) -1) 2)) (/.f64 -1 eps))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))) (*.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 eps (*.f64 -1 eps))) 1) x)))) (/.f64 1 eps))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 2 (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)) (*.f64 x (+.f64 (/.f64 1 eps) (-.f64 (*.f64 0 eps) 1)))))) (/.f64 -1 eps))
(+.f64 (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)) (+.f64 (/.f64 x eps) (neg.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) 2)) (/.f64 -1 eps))
(*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x)
(*.f64 x (-.f64 (/.f64 1 eps) eps))
(-.f64 (/.f64 x eps) (*.f64 eps x))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 eps) eps) x (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (-.f64 (/.f64 1 eps) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 eps) eps) x (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (-.f64 (/.f64 1 eps) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 eps)) x) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 eps) eps) x (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (-.f64 (/.f64 1 eps) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (/.f64 -1 eps)))
(*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x))
(neg.f64 (*.f64 x (+.f64 eps (/.f64 -1 eps))))
(*.f64 (+.f64 eps (/.f64 -1 eps)) (neg.f64 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x (+.f64 eps (/.f64 -1 eps))) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x (+.f64 eps (/.f64 -1 eps)))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x (+.f64 eps (/.f64 -1 eps))) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x (+.f64 eps (/.f64 -1 eps)))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 eps (/.f64 1 eps)) x)) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x (+.f64 eps (/.f64 -1 eps))) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x (+.f64 eps (/.f64 -1 eps)))) (/.f64 -1 eps)))
(/.f64 (-.f64 x 1) eps)
(/.f64 (+.f64 x -1) eps)
(/.f64 (+.f64 -1 x) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))) (/.f64 1 eps))
(+.f64 1 (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 -1 x) eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x)))) (/.f64 1 eps)))
(+.f64 (+.f64 1 (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 -1 x) eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 -1 x))) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 -1 x)))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 x))))) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 2)) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 -1 x) eps))))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 (-.f64 eps 1) x))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (pow.f64 (exp.f64 (+.f64 eps -1)) x)))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (-.f64 1 (*.f64 eps x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 eps 1) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 eps) eps) x (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (-.f64 (/.f64 1 eps) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 eps 1) x))))) (/.f64 1 eps))
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 eps) eps) x (pow.f64 (exp.f64 (+.f64 eps -1)) x)) (/.f64 1 eps)))
(+.f64 1 (+.f64 (fma.f64 x (-.f64 (/.f64 1 eps) eps) (pow.f64 (exp.f64 x) (+.f64 eps -1))) (/.f64 -1 eps)))
(*.f64 -1 (*.f64 eps x))
(neg.f64 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 eps x) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (-.f64 1 (*.f64 eps x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps)))))
(+.f64 1 (+.f64 (fma.f64 -1 (*.f64 eps x) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (neg.f64 (/.f64 (-.f64 1 x) eps))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 -1 (fma.f64 eps x (/.f64 x eps))) 3) (pow.f64 eps -3))) (neg.f64 (+.f64 (pow.f64 eps -2) (-.f64 (pow.f64 (+.f64 -1 (fma.f64 eps x (/.f64 x eps))) 2) (/.f64 (+.f64 -1 (fma.f64 eps x (/.f64 x eps))) eps)))))
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(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) 2) (pow.f64 eps -2)) (-.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (/.f64 1 eps)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (fma.f64 eps x (/.f64 x eps))) 2) (pow.f64 eps -2)) (+.f64 (fma.f64 eps x (/.f64 x eps)) (-.f64 -1 (/.f64 1 eps))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 eps x -1) (/.f64 x eps)) 2) (pow.f64 eps -2)) (+.f64 -1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (/.f64 -1 eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (fma.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) -1) (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) 3) 1) (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))) 1) (*.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps))) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) 3) -1) (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) (fma.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) 3)) (+.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) (fma.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps))) 1)))
(/.f64 (+.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1)))) (*.f64 eps (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 1 (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 1 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (fma.f64 eps x (/.f64 x eps)))) (+.f64 eps (*.f64 eps (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))) (*.f64 eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))))
(/.f64 (+.f64 (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1)) (*.f64 -1 (+.f64 1 (fma.f64 x eps (/.f64 x eps))))) (*.f64 eps (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (+.f64 -1 (neg.f64 (fma.f64 eps x (/.f64 x eps))))) (*.f64 eps (+.f64 1 (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (-.f64 -1 (fma.f64 eps x (/.f64 x eps)))) (+.f64 eps (*.f64 eps (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3))) (*.f64 -1 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))))) (*.f64 eps (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps))))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (neg.f64 (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (fma.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2) (-.f64 -1 (fma.f64 eps x (/.f64 x eps))))) (*.f64 eps (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))))
(/.f64 (+.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps)) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) eps))
(/.f64 (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (*.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 1 (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 1 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (fma.f64 eps x (/.f64 x eps)))) (+.f64 eps (*.f64 eps (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) -1) eps) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) -1)) (*.f64 (+.f64 1 (fma.f64 x eps (/.f64 x eps))) eps))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (+.f64 -1 (neg.f64 (fma.f64 eps x (/.f64 x eps))))) (*.f64 eps (+.f64 1 (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)) (-.f64 -1 (fma.f64 eps x (/.f64 x eps)))) (+.f64 eps (*.f64 eps (fma.f64 eps x (/.f64 x eps)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) 1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))) (*.f64 eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 3)) eps) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) -1)) (*.f64 (+.f64 (pow.f64 (fma.f64 x eps (/.f64 x eps)) 2) (+.f64 1 (fma.f64 x eps (/.f64 x eps)))) eps))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (neg.f64 (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))) (*.f64 eps (+.f64 (+.f64 1 (fma.f64 eps x (/.f64 x eps))) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2))))
(/.f64 (fma.f64 eps (+.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 3)) (fma.f64 -1 (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2) (-.f64 -1 (fma.f64 eps x (/.f64 x eps))))) (*.f64 eps (+.f64 1 (+.f64 (fma.f64 eps x (/.f64 x eps)) (pow.f64 (fma.f64 eps x (/.f64 x eps)) 2)))))
(pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 1)
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 2)
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 3)
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 3) 1/3)
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 eps x (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 2))
(fabs.f64 (+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps))))
(log.f64 (exp.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)))))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1)) 3))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 x eps)))))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 eps) (fma.f64 eps x (/.f64 x eps)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))) 1))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) (+.f64 (/.f64 1 eps) -1))))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 1 (/.f64 1 eps) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 1 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1) (/.f64 1 eps))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (sqrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 x eps (/.f64 x eps)) -1))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 -1 (fma.f64 eps x (/.f64 x eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) 2) (cbrt.f64 (+.f64 (fma.f64 x eps (/.f64 x eps)) -1)) (/.f64 1 eps))
(+.f64 (-.f64 (fma.f64 eps x (/.f64 x eps)) 1) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 eps x -1) (/.f64 x eps)))

eval829.0ms (6.6%)

Compiler

Compiled 46832 to 24823 computations (47% saved)

prune491.0ms (3.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1366101376
Fresh505
Picked101
Done358
Total1375151390
Error
0%
Counts
1390 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
25.85%
(/.f64 (-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1) (*.f64 eps x)) 2)
25.88%
(/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 3)) (-.f64 (*.f64 x x) 2)) 2)
73.46%
(/.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 (-.f64 1 eps)))) (+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 eps (neg.f64 x))) 1))) 2)
25.43%
(/.f64 (-.f64 (exp.f64 (*.f64 eps x)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) 2)
73.45%
(/.f64 (-.f64 2 (/.f64 1 eps)) 2)
25.79%
(/.f64 (-.f64 2 (*.f64 x x)) 2)
26.03%
(/.f64 (-.f64 2 x) 2)
25.84%
(/.f64 (-.f64 1 (-.f64 (*.f64 eps x) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
25.47%
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
25.66%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (-.f64 1 (*.f64 x eps))) 2)
73.78%
(/.f64 (+.f64 2 (-.f64 (*.f64 x (+.f64 (/.f64 1 eps) (-.f64 (*.f64 0 eps) 1))) (/.f64 1 eps))) 2)
32.63%
(/.f64 (+.f64 2 (*.f64 x (+.f64 (-.f64 eps (+.f64 1 eps)) (*.f64 x (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 1 eps) 2))))))) 2)
0.41%
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
25.49%
(/.f64 2 2)
72.28%
(/.f64 0 2)
Compiler

Compiled 208 to 158 computations (24% saved)

regimes52.0ms (0.4%)

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

4 calls:

15.0ms
eps
15.0ms
x
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
ErrorSegmentsBranch
0.41%1x
0.41%1eps
0.41%1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.41%1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 671 to 459 computations (31.6% saved)

regimes110.0ms (0.9%)

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

2 calls:

53.0ms
eps
48.0ms
x
Results
ErrorSegmentsBranch
0.64%2x
23.45%3eps
Compiler

Compiled 366 to 255 computations (30.3% saved)

bsearch79.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
78.0ms
0.00021073594779101004
3571.4914621309495
Results
35.0ms74×body1024valid
19.0ms46×body256infinite
13.0ms36×body512valid
5.0ms28×body256valid
4.0msbody2048valid
Compiler

Compiled 207 to 173 computations (16.4% saved)

regimes34.0ms (0.3%)

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

2 calls:

22.0ms
eps
9.0ms
x
Results
ErrorSegmentsBranch
0.67%2x
23.5%3eps
Compiler

Compiled 83 to 66 computations (20.5% saved)

bsearch78.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
78.0ms
0.00021073594779101004
3571.4914621309495
Results
37.0ms78×body1024valid
13.0ms30×body256valid
13.0ms53×body256infinite
11.0ms34×body512valid
1.0msbody2048valid
Compiler

Compiled 180 to 155 computations (13.9% saved)

regimes30.0ms (0.2%)

Accuracy

Total -61.6b remaining (-10753.2%)

Threshold costs -61.6b (-10753.2%)

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

2 calls:

22.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
0.89%2x
23.5%3eps
Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
71.0ms
0.00021073594779101004
3571.4914621309495
Results
36.0ms76×body1024valid
14.0ms38×body512valid
10.0ms53×body256infinite
4.0ms25×body256valid
4.0msbody2048valid
Compiler

Compiled 144 to 137 computations (4.9% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034117
146117
254117
357117
458117
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 350) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2) (/.f64 0 2))
(if (<=.f64 x 2476979795053773/1125899906842624) (/.f64 (+.f64 (/.f64 x (exp.f64 x)) (-.f64 2 x)) 2) 0)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 350) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 350) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 56 to 45 computations (19.6% saved)

soundness278.0ms (2.2%)

Algorithm
egg-herbie
Rules
1412×associate-*r*
1196×associate-/l*
1178×associate-*l*
1030×associate-*l*
1026×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
049410733
114979937
262569847
068623530
1212921470
Stop Event
node limit
node limit
node limit
Compiler

Compiled 510 to 306 computations (40% saved)

end40.0ms (0.3%)

Compiler

Compiled 48 to 35 computations (27.1% saved)

Profiling

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