Details

Time bar (total: 14.7s)

analyze275.0ms (1.9%)

Algorithm
1×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)

sample3.4s (23.3%)

Results
1.4s2077×body1024valid
1.1s4905×body256valid
468.0ms1029×body512valid
246.0ms245×body2048valid
84.0ms508×body256infinite
65.0ms418×body256unsamplable
12.0ms23×body1024infinite
5.0ms16×body512infinite
Bogosity

preprocess54.0ms (0.4%)

Algorithm
2×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
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (neg.f64 (-.f64 1 x)) eps))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (*.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 x))) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 x 1)) eps) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify43.0ms (0.3%)

Algorithm
1×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
1×node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New336
Fresh101
Picked000
Done000
Total437
Error
28.1b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.2b
(/.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)
▶44.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
▶28.1b
(/.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 89 to 69 computations (22.5% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
✓0.0b
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓1.0b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
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
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))

rewrite204.0ms (1.4%)

Algorithm
1×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
020142
1443118
26105118
Stop Event
1×node limit
Counts
4 → 290
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)))))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(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 (+.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 (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))) 1)))))) (#(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 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) 1)))))) (#(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 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 (/.f64 1 eps) (pow.f64 (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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simplify286.0ms (2%)

Algorithm
1×egg-herbie
Rules
1306×fma-def
972×associate-*r*
840×+-commutative
770×associate-+r+
748×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079235706
1216029944
Stop Event
1×node limit
Counts
386 → 478
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
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2
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(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
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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)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
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(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.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))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.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))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.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))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.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))))))
(fma.f64 1 (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))))
(fma.f64 1 (fma.f64 (+.f64 1 (/.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)))) (+.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)))))
(fma.f64 (+.f64 1 (/.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))))
(fma.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.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))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.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))))) (+.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)))))
(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 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.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))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.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))))) (+.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)))))
(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 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(/.f64 1 (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(/.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1)
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 3) 1/3)
(pow.f64 (E.f64) (+.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 x eps)))) (sqrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (+.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 (-.f64 1 eps) x) 0)
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))
(+.f64 (*.f64 x (neg.f64 eps)) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 x (*.f64 x (neg.f64 eps)))
(-.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (*.f64 (-.f64 1 eps) x) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(neg.f64 (*.f64 (-.f64 1 eps) x))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
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2
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(fma.f64 x eps x)
(-.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 x (*.f64 x eps))
(fma.f64 x eps x)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))
(-.f64 (expm1.f64 (log1p.f64 x)) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))
(-.f64 (expm1.f64 (log1p.f64 x)) (*.f64 x eps))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x 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 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(/.f64 (*.f64 (-.f64 1 eps) x) 1)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.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 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 1 (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 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x 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 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x 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 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps 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 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (fma.f64 eps eps (-.f64 1 eps)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 eps 3))) (-.f64 1 (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.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 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.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 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps 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 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(*.f64 (/.f64 x (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (fma.f64 eps eps (-.f64 1 eps)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 eps 3))) (-.f64 1 (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.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 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.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 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))
(pow.f64 (*.f64 (-.f64 1 eps) x) 1)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x)) 2)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 3)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3) 1/3)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(neg.f64 (*.f64 (-.f64 1 eps) x))
(*.f64 x (+.f64 eps -1))
(-.f64 (*.f64 x eps) x)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))
(fabs.f64 (-.f64 x (*.f64 x eps)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) x))))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) x) 3))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) x)) 1))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)))
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (-.f64 1 eps))
✓0.0b
(exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))
✓0.2b
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
✓1.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
Compiler

Compiled 137 to 93 computations (32.1% saved)

series80.0ms (0.5%)

Counts
4 → 80
Calls

21 calls:

TimeVariablePointExpression
55.0ms
eps
@inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
8.0ms
eps
@-inf
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
7.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
3.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
3.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))

rewrite180.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
021136
1477108
26893108
Stop Event
1×node limit
Counts
4 → 223
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))))
(pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))
(exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1)))
(exp.f64 (-.f64 1 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (/.f64 1 eps)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 (*.f64 (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) (sqrt.f64 (exp.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (E.f64) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 eps) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 eps))))))))

simplify303.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1150×fma-def
960×associate-*r*
798×associate-+r-
788×associate-+l-
728×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065428659
1177123411
2692522697
Stop Event
1×node limit
Counts
303 → 436
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x)))) eps))) (*.f64 -1 (exp.f64 (*.f64 (-.f64 (*.f64 -1 eps) 1) x))))
2
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 (/.f64 1 eps) 1)))) (pow.f64 x 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(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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1
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(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))
(fma.f64 1 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (fma.f64 eps x x))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) 2) (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))) 1)
(*.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(*.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(*.f64 (pow.f64 1 x) (exp.f64 (*.f64 (+.f64 1 eps) x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) x))
(/.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) x)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (*.f64 2 x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(exp.f64 (*.f64 (+.f64 1 eps) x))
(exp.f64 (*.f64 (*.f64 (+.f64 1 eps) x) 1))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 eps)))) 1)
(*.f64 1 (exp.f64 (+.f64 1 eps)))
(*.f64 (exp.f64 (+.f64 1 eps)) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) (sqrt.f64 (exp.f64 (+.f64 1 eps))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (+.f64 1 eps))))
(*.f64 (E.f64) (exp.f64 eps))
(/.f64 1 (/.f64 (exp.f64 eps) (E.f64)))
(/.f64 (E.f64) (exp.f64 eps))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 eps))))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (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 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) 1/5040))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 x (exp.f64 (neg.f64 x)) (-.f64 (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 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) -1/24 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))))
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2
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(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) x)) 3))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (+.f64 1 eps) x))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(exp.f64 (*.f64 (*.f64 (+.f64 1 eps) x) 1))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 1 (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (exp.f64 (*.f64 eps x)) (exp.f64 x))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(*.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) eps))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps))
(pow.f64 (exp.f64 (fma.f64 eps x x)) 1)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (E.f64) (fma.f64 eps x x))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 eps -1))
(pow.f64 (exp.f64 x) (+.f64 -1 eps))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 -1 eps))) (sqrt.f64 (+.f64 -1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 eps)) 2)) (cbrt.f64 (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 x 2)))
(fabs.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(exp.f64 (fma.f64 x eps x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 eps)))) 1)
(exp.f64 (+.f64 eps 1))
(*.f64 1 (exp.f64 (+.f64 1 eps)))
(exp.f64 (+.f64 eps 1))
(*.f64 (exp.f64 (+.f64 1 eps)) 1)
(exp.f64 (+.f64 eps 1))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) (sqrt.f64 (exp.f64 (+.f64 1 eps))))
(exp.f64 (+.f64 eps 1))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2))
(exp.f64 (+.f64 eps 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 2) (cbrt.f64 (exp.f64 (+.f64 1 eps))))
(exp.f64 (+.f64 eps 1))
(*.f64 (E.f64) (exp.f64 eps))
(exp.f64 (+.f64 eps 1))
(/.f64 1 (/.f64 (exp.f64 eps) (E.f64)))
(exp.f64 (-.f64 1 eps))
(/.f64 (E.f64) (exp.f64 eps))
(exp.f64 (-.f64 1 eps))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 eps)))
(*.f64 1 (exp.f64 (-.f64 1 eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) 1)
(exp.f64 (+.f64 eps 1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 eps))) 2)
(exp.f64 (+.f64 eps 1))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 eps))) 3)
(exp.f64 (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3) 1/3)
(exp.f64 (+.f64 eps 1))
(pow.f64 (E.f64) (+.f64 1 eps))
(pow.f64 (E.f64) (+.f64 eps 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps 1))) (sqrt.f64 (+.f64 eps 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (cbrt.f64 (+.f64 eps 1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 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 1 eps))))
(exp.f64 (+.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 eps)))))
(exp.f64 (+.f64 eps 1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) 3))
(exp.f64 (+.f64 eps 1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 eps))))
(exp.f64 (+.f64 eps 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 eps))))
(exp.f64 (+.f64 eps 1))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
✓0.0b
(exp.f64 (fma.f64 eps x x))
✓0.2b
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
✓2.7b
(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)

series82.0ms (0.6%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
46.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
22.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
4.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
3.0ms
eps
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
1.0ms
eps
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite99.0ms (0.7%)

Algorithm
1×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
018128
1386124
25057124
Stop Event
1×node limit
Counts
4 → 122
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)
(exp.f64 (fma.f64 eps x x))
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
Outputs
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pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))))))

simplify138.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
844×associate--r+
820×associate-*r*
632×fma-def
588×associate-*l*
542×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050210786
1152510002
267989912
Stop Event
1×node limit
Counts
194 → 289
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)))))
(-.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)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 x)
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))))
1
(+.f64 1 (*.f64 (+.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))))))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
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(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 (pow.f64 eps -2) 1)) (-.f64 (/.f64 1 eps) 1))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (+.f64 1 (pow.f64 eps -3)))) (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))))) (-.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 eps -2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -3)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (+.f64 1 (pow.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) (pow.f64 eps -2)))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 (*.f64 1/2 (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 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (*.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 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (*.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 x eps 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 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps 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 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (exp.f64 (neg.f64 (fma.f64 x 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 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)) (exp.f64 (neg.f64 (fma.f64 x 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 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)) (exp.f64 (neg.f64 (fma.f64 x 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 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)) (exp.f64 (neg.f64 (fma.f64 x 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) 2)
(fma.f64 (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2)
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) 2)
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))))))))
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (neg.f64 eps)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1 (/.f64 -1 eps))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1 (/.f64 -1 eps))))) 2))
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 -1 eps))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1 (/.f64 -1 eps))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 1 (/.f64 -1 eps))))) 2))
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1
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1
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(*.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 x eps 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)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 2)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))) 3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3) 1/3)
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))) -1)
(/.f64 1 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 -1 eps)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 x eps x) (log1p.f64 (/.f64 -1 eps)))))
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (neg.f64 (exp.f64 (fma.f64 eps x x))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(/.f64 (-.f64 -1 (/.f64 -1 eps)) (neg.f64 (exp.f64 (fma.f64 x eps x))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 2))
(fabs.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x))))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x))) 3))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 x eps x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 x eps x)))

eval1.0s (7%)

Compiler

Compiled 59121 to 40143 computations (32.1% saved)

prune535.0ms (3.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1190131203
Fresh000
Picked101
Done202
Total1193131206
Error
0.0b
Counts
1206 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
44.2b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x))))) 2)
▶47.0b
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
▶0.6b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶43.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
43.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
43.7b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
43.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
▶43.9b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
43.9b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
0.9b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
0.6b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
16.3b
(/.f64 2 2)
▶47.0b
(/.f64 0 2)
Compiler

Compiled 622 to 484 computations (22.2% saved)

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 62 to 33 computations (46.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify66.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.0b
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
✓3.3b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
Compiler

Compiled 102 to 74 computations (27.5% saved)

series3.0ms (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 (/.f64 1 eps) -1) 1))
0.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
0.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))
0.0ms
eps
@0
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1))

rewrite140.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
990×associate-/r*
562×associate-/r/
510×associate-/l*
490×associate-+l+
370×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01796
138082
2491182
Stop Event
1×node limit
Counts
2 → 213
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) 1))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
Outputs
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simplify295.0ms (2%)

Algorithm
1×egg-herbie
Rules
1598×associate--l+
1246×associate-+r+
1146×fma-def
988×associate-+l+
840×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057621463
1165919917
2799719641
Stop Event
1×node limit
Counts
261 → 381
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
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2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(/.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))))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))
(+.f64 (/.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))
(+.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))
(+.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))
(+.f64 (/.f64 1 eps) 1)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 (/.f64 1 eps) 1))
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(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (+.f64 (/.f64 1 eps) -1)) -1)
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (-.f64 1 (pow.f64 eps -2))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) 1) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) -1) (+.f64 (/.f64 1 eps) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (+.f64 (/.f64 1 eps) -1)) -1)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2)) (neg.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps)))) (sqrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 eps))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))) (cbrt.f64 (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2))) (cbrt.f64 (+.f64 (/.f64 1 eps) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1) (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 x) (-.f64 1 eps))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 (pow.f64 eps -2) (+.f64 1 (/.f64 -1 eps)))))
(pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) 1) eps)
(/.f64 (expm1.f64 (neg.f64 x)) eps)
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 (+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (/.f64 (expm1.f64 (neg.f64 x)) eps))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))))) (/.f64 1 eps))
(+.f64 (+.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 x)) eps)) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))))))) (/.f64 -1 eps))
(+.f64 1 (+.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (exp.f64 (neg.f64 x))))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (+.f64 1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))
(+.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
(+.f64 1 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))))) eps)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 1 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps)))
2
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2)
(fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2)
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2)
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2) (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)))))
(fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 2))) 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 x (-.f64 1 eps)) (+.f64 1 (/.f64 1 eps))) 2) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))) (*.f64 (*.f64 -1/6 (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))))
(+.f64 (fma.f64 (+.f64 -1 (/.f64 -1 eps)) (*.f64 x (-.f64 1 eps)) 2) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 1 eps) 3))) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 eps))))))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps))
(+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (-.f64 (+.f64 1 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) eps)) (/.f64 1 eps)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps)))
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(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps)))) 2))
(fabs.f64 (exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps)))))
(log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))
(exp.f64 (fma.f64 (-.f64 1 eps) x (log1p.f64 (/.f64 1 eps))))
(exp.f64 (fma.f64 x (-.f64 1 eps) (log1p.f64 (/.f64 1 eps))))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (exp.f64 x))
✓1.4b
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
Compiler

Compiled 53 to 35 computations (34% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite116.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1336×add-sqr-sqrt
1314×*-un-lft-identity
1230×add-cube-cbrt
1220×add-cbrt-cube
1214×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
12306
225426
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x)))
(/.f64 1 (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 x)))))))

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1284×associate-/r/
884×associate-*r*
676×*-commutative
668×associate-*l*
652×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072440
1175436
2663290
32641282
46845282
Stop Event
1×node limit
Counts
36 → 44
Calls
Call 1
Inputs
0
0
0
0
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
0
(+.f64 1 (expm1.f64 x))
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 -1 (neg.f64 (exp.f64 x)))
(*.f64 1 (exp.f64 x))
(*.f64 (exp.f64 x) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(pow.f64 (exp.f64 x) -1)
(pow.f64 (exp.f64 x) 1)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 -1) x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
Outputs
0
0
0
0
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) x))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 -1/6 (pow.f64 x 3) 1))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) 1)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 -1/6 (pow.f64 x 3) 1))
0
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(-.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 -1 (neg.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1) (pow.f64 (sqrt.f64 (exp.f64 x)) -1))
(pow.f64 (sqrt.f64 (exp.f64 x)) -2)
(exp.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (exp.f64 x)) -1))
(pow.f64 (sqrt.f64 (exp.f64 x)) -2)
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 x) -1)
(pow.f64 (sqrt.f64 (exp.f64 x)) -2)
(exp.f64 (neg.f64 x))
(pow.f64 (exp.f64 x) 1)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (E.f64) x)
(pow.f64 (exp.f64 -1) x)
(pow.f64 (sqrt.f64 (exp.f64 x)) -2)
(exp.f64 (neg.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)
(exp.f64 x)
(+.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(+.f64 1 (expm1.f64 x))
(exp.f64 x)

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1)))
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓0.1b
(pow.f64 (-.f64 x (*.f64 x eps)) 2)
✓2.0b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 188 to 115 computations (38.8% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.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)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.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)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.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)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.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)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite79.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
596×add-sqr-sqrt
582×*-un-lft-identity
580×pow1
552×add-exp-log
552×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026181
1584173
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(pow.f64 (-.f64 x (*.f64 x eps)) 2)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.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 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))))))

simplify185.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1162×associate-+r-
960×fma-def
792×associate-+r+
792×associate-*r*
702×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048517132
1156815354
2744715342
Stop Event
1×node limit
Counts
186 → 300
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) eps) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) eps) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (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 x (*.f64 -1 (/.f64 x eps))))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) x)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps)))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 1 (*.f64 -1 eps)) 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (pow.f64 x 2))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -2 (*.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(/.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) eps)
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 x (+.f64 (*.f64 -1 (/.f64 x eps)) (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)))))))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.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 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))
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(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2))
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(fma.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.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 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
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(fma.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
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(+.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(+.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(+.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1) (+.f64 1 (/.f64 1 eps))))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))) 1)
(/.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 1)
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
Outputs
(/.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) (exp.f64 (neg.f64 x)))) eps)
(/.f64 (+.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) (-.f64 1 (exp.f64 (neg.f64 x)))) eps)
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (fma.f64 1/2 (/.f64 (*.f64 x x) eps) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (/.f64 x eps) x)))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 1/2 (/.f64 x (/.f64 eps x))) (/.f64 x eps)) 0) (*.f64 x (*.f64 x -1/2))) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))))
(-.f64 (+.f64 (+.f64 1 (+.f64 (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (/.f64 (neg.f64 x) eps)) (*.f64 x (*.f64 x -1/2))) (/.f64 1 eps))) (*.f64 x (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) eps) (+.f64 x (*.f64 -1 (/.f64 x eps)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (fma.f64 1/2 (/.f64 (*.f64 x x) eps) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (*.f64 x x) x)) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))) eps (fma.f64 -1 (/.f64 x eps) x))))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (fma.f64 1/2 (*.f64 x x) (-.f64 (fma.f64 eps (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 x (fma.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))) x) (/.f64 x eps)))) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))) eps) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 1/2 (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 x (*.f64 -1 (/.f64 x eps))))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 (exp.f64 (*.f64 -1 x)) eps))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (fma.f64 1/2 (/.f64 (*.f64 x x) eps) (fma.f64 1/2 (*.f64 x x) (fma.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (*.f64 x x) x)) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))) eps (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 1/2 (*.f64 x x)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 -1/6 (exp.f64 (neg.f64 x))) (pow.f64 x 3)))) (fma.f64 -1 (/.f64 x eps) x)))))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) eps)))))
(+.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (fma.f64 1/2 (*.f64 x x) (fma.f64 eps (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 x (fma.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))))) (-.f64 (fma.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) -1/2))) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) x) (/.f64 x eps))))) x) (-.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))
(*.f64 1/2 (pow.f64 (*.f64 x eps) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 eps (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (*.f64 x x) x))))
(fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) x)))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 eps (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (*.f64 x x) x)) (fma.f64 -1 (*.f64 x x) (*.f64 0 x))))) (neg.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 x eps)))))))
(+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2))) (+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) eps)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))) (+.f64 (*.f64 -1 (/.f64 x eps)) x))))))))) (+.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps)))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (fma.f64 1/2 (/.f64 (*.f64 x x) eps) (fma.f64 1/2 (*.f64 x x) (fma.f64 eps (fma.f64 1/2 (*.f64 x x) (fma.f64 -1 (*.f64 x x) x)) (fma.f64 -1 (/.f64 x eps) x)))))))) (fma.f64 -1 (exp.f64 (neg.f64 (+.f64 x (*.f64 x eps)))) (/.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 x eps)))) eps))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (-.f64 (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (fma.f64 1/2 (*.f64 x x) (-.f64 (fma.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))) x) (/.f64 x eps)))) x) (*.f64 x x))) (-.f64 1 (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(+.f64 (/.f64 1 eps) (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (-.f64 (-.f64 (fma.f64 1/2 (/.f64 x (/.f64 eps x)) (fma.f64 1/2 (*.f64 x x) (-.f64 (fma.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))) x) (/.f64 x eps)))) x) (*.f64 x x))) (-.f64 1 (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))
(*.f64 1/2 (pow.f64 (*.f64 x eps) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 x x)))))
(fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 (fma.f64 (*.f64 x x) -1/2 (*.f64 x (+.f64 x -1))) (neg.f64 eps)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 x x)))) (*.f64 -1 (+.f64 x (fma.f64 -1 x (*.f64 x x)))))))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (+.f64 (+.f64 (-.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (*.f64 eps (fma.f64 (*.f64 x x) -1/2 (*.f64 x (+.f64 x -1))))) (*.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 eps eps 1)))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 1 (+.f64 (+.f64 (-.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (*.f64 eps (fma.f64 (*.f64 x x) -1/2 (*.f64 x (+.f64 x -1))))) (*.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 eps eps 1)))) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))))))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps))))))) eps) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 x x)))) (*.f64 -1 (+.f64 x (fma.f64 -1 x (*.f64 x x))))))))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 (-.f64 (+.f64 1 (+.f64 (-.f64 (neg.f64 (+.f64 0 (*.f64 x x))) (*.f64 eps (fma.f64 (*.f64 x x) -1/2 (*.f64 x (+.f64 x -1))))) (*.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 eps eps 1))))) (/.f64 (fma.f64 -1 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (-.f64 (-.f64 (+.f64 (+.f64 1 (*.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 eps eps 1)))) (neg.f64 (+.f64 0 (*.f64 x x)))) (*.f64 eps (fma.f64 (*.f64 x x) -1/2 (*.f64 x (+.f64 x -1))))) (/.f64 (fma.f64 -1 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) eps)) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
2
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(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.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 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) (pow.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2) (*.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (-.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))) 3)) (fma.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))) (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 (/.f64 1 eps)))) (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))) (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))
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(pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 1)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))) 3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 3) 1/3)
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))) 2))
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(fabs.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps)))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
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(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
(exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 -1 eps))))
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(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (*.f64 x (+.f64 x (*.f64 eps (fma.f64 x eps x))))) (fma.f64 x eps x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2))) (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 x eps) 4)) (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x eps) 4)) (pow.f64 (fma.f64 x eps x) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 eps x) 2) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) 2) (pow.f64 (*.f64 eps x) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 x eps) 2) 3)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 x eps) 2) (fma.f64 x x (pow.f64 (*.f64 x eps) 2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 x eps) 2) 3)) (fma.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (*.f64 x x) (fma.f64 eps eps 1)) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (pow.f64 (+.f64 x (*.f64 x eps)) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (pow.f64 (fma.f64 x eps x) 2))
(neg.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(neg.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 2))
(neg.f64 (pow.f64 (fma.f64 x eps x) 2))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 4))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x eps)) 4))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2)))
(pow.f64 (+.f64 x (*.f64 x eps)) 2)
(pow.f64 (fma.f64 x eps x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))))
(pow.f64 (+.f64 x (*.f64 x eps)) 2)
(pow.f64 (fma.f64 x eps x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 3))
(pow.f64 (+.f64 x (*.f64 x eps)) 2)
(pow.f64 (fma.f64 x eps x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2)))
(pow.f64 (+.f64 x (*.f64 x eps)) 2)
(pow.f64 (fma.f64 x eps x) 2)
(exp.f64 (*.f64 2 (+.f64 (log1p.f64 eps) (log.f64 x))))
(pow.f64 (exp.f64 2) (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 2 (+.f64 (log1p.f64 eps) (log.f64 x))) 1))
(pow.f64 (exp.f64 2) (+.f64 (log1p.f64 eps) (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2)))
(pow.f64 (+.f64 x (*.f64 x eps)) 2)
(pow.f64 (fma.f64 x eps x) 2)
(fma.f64 x x (neg.f64 (pow.f64 (*.f64 eps x) 2)))
(-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) 2))
(+.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (/.f64 1 eps)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(+.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(+.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(+.f64 (*.f64 (*.f64 (+.f64 eps -1) x) (+.f64 1 (/.f64 1 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1) (+.f64 1 (/.f64 1 eps))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(+.f64 (*.f64 (/.f64 1 eps) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))) 1)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(/.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (-.f64 1 (pow.f64 eps -2))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(*.f64 (/.f64 (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (/.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (/.f64 -1 eps)))
(/.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (-.f64 1 (pow.f64 eps -2))))
(*.f64 (/.f64 (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (+.f64 1 (/.f64 -1 eps))) (-.f64 1 (pow.f64 eps -2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) (+.f64 1 (+.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)) (/.f64 (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2))) (+.f64 1 (pow.f64 eps -3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (+.f64 (/.f64 -1 eps) (pow.f64 eps -2)))) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 1)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 2)
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))) 2)
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (sqrt.f64 (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3) 1/3)
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1))) 2))
(fabs.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1))))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1))) 3))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))))
(*.f64 (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (exp.f64 (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))) 1))
(exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (log.f64 (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))))
(*.f64 (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)) (exp.f64 (log1p.f64 (/.f64 1 eps))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 eps -1) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 eps x)) 2) 1)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (+.f64 x (*.f64 x eps)) 2) 1)))
(*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x (+.f64 -1 eps) (fma.f64 1/2 (pow.f64 (fma.f64 x eps x) 2) 1)))

eval841.0ms (5.7%)

Compiler

Compiled 41264 to 29491 computations (28.5% saved)

prune375.0ms (2.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1030131043
Fresh448
Picked101
Done314
Total1038181056
Error
0.0b
Counts
1056 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
39.4b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
43.9b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
45.8b
(/.f64 (-.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
16.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
▶43.8b
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
39.4b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
▶16.3b
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
54.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
43.7b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
43.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
45.9b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
▶0.9b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
31.9b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
59.6b
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
▶16.3b
(/.f64 2 2)
✓47.0b
(/.f64 0 2)
Compiler

Compiled 753 to 603 computations (19.9% saved)

localize43.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 68 to 37 computations (45.6% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 44 to 27 computations (38.6% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
✓0.0b
(*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 eps)))
✓2.2b
(-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 135 to 96 computations (28.9% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite168.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
876×associate-+l+
590×associate-+r+
484×add-sqr-sqrt
480×+-commutative
478×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020127
1467115
26855115
Stop Event
1×node limit
Counts
3 → 323
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 eps)))
(*.f64 (+.f64 1 eps) (neg.f64 x))
Outputs
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simplify324.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1714×fma-def
1312×+-commutative
956×associate-+r-
702×associate-*r*
620×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080839923
1240034743
2752334683
Stop Event
1×node limit
Counts
395 → 507
Calls
Call 1
Inputs
2
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(*.f64 -1 x)
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(fma.f64 1 (fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps)))) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (hypot.f64 1 (pow.f64 eps -1/2))) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (sqrt.f64 (fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))) (sqrt.f64 (fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)))) 2) (cbrt.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))) 2) (cbrt.f64 (fma.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps))))) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps 1)) x)) (*.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))
(+.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1)))
(+.f64 1 (+.f64 (+.f64 x (*.f64 eps x)) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))
(+.f64 1 (+.f64 (+.f64 x (*.f64 eps x)) (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1)))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x)))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))
(+.f64 (fma.f64 (+.f64 -1 eps) x 1) (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x)))))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps)))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 eps x))) (fma.f64 (+.f64 -1 eps) x 1)))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 x (*.f64 eps x)) (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x 1)))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x))))
(+.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps))))
(+.f64 x (+.f64 (*.f64 eps x) (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))))
(+.f64 x (+.f64 (*.f64 (*.f64 eps x) 1) (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))))
(+.f64 x (+.f64 (+.f64 1 (*.f64 eps x)) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))
(+.f64 x (+.f64 (+.f64 1 (*.f64 eps x)) (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1)))
(+.f64 0 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))))
(+.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) (fma.f64 (+.f64 -1 eps) x 1))
(+.f64 (*.f64 eps x) (+.f64 x (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 2 x)))) (+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 eps x) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 eps x) (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1)))
(+.f64 (+.f64 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)) (+.f64 x (*.f64 eps x)))
(+.f64 (+.f64 (+.f64 x (*.f64 eps x)) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)) 1)
(+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x))) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 eps) x 1)))
(+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 1) (fma.f64 (+.f64 -1 eps) x 1))
(+.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps))) (+.f64 1 (/.f64 1 eps)))
(+.f64 (*.f64 (+.f64 x (*.f64 eps x)) (/.f64 1 eps)) (+.f64 (/.f64 1 eps) (fma.f64 (+.f64 -1 eps) x 1)))
(+.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 1 eps)) (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 eps x))))
(+.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 1 eps)) (*.f64 (+.f64 x (*.f64 eps x)) (/.f64 1 eps)))
(+.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (*.f64 (/.f64 1 eps) (+.f64 x (*.f64 eps x)))) (/.f64 1 eps))
(+.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (*.f64 (+.f64 x (*.f64 eps x)) (/.f64 1 eps))) (/.f64 1 eps))
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) x) (+.f64 1 (*.f64 eps x)))
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) (+.f64 1 x)) (*.f64 eps x))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x))) 1) (/.f64 1 eps))
(+.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 x (*.f64 eps x))) (/.f64 1 eps)) 1)
(+.f64 (+.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps))) 1) (/.f64 1 eps))
(+.f64 (+.f64 (*.f64 (+.f64 x (*.f64 eps x)) (+.f64 1 (/.f64 1 eps))) (/.f64 1 eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))))) 1)
(/.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (fma.f64 (+.f64 -1 eps) x -1))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 -1 eps) x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 1 (/.f64 1 eps))) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (fma.f64 (+.f64 -1 eps) x 1)) (-.f64 1 (/.f64 1 eps)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (fma.f64 (+.f64 -1 eps) x 1)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 -1 eps) x 1) 2) (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))) (-.f64 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 -1 eps) x 1) 3) (pow.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 -1 eps) x 1) 2) (-.f64 (*.f64 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)) (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (fma.f64 (+.f64 -1 eps) x -1) (-.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (fma.f64 (+.f64 -1 eps) x -1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (-.f64 1 (pow.f64 eps -2))) (*.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (-.f64 1 (/.f64 1 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 1 (pow.f64 eps -3))) (*.f64 (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (*.f64 (-.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 -1 (pow.f64 (+.f64 x (*.f64 eps x)) 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (fma.f64 (+.f64 -1 eps) x -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (+.f64 1 (pow.f64 (+.f64 x (*.f64 eps x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (+.f64 (fma.f64 (+.f64 -1 eps) x 1) (pow.f64 (+.f64 x (*.f64 eps x)) 2))))
(pow.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))) 1)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (hypot.f64 1 (pow.f64 eps -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 1 eps))) (fma.f64 (+.f64 -1 eps) x 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)))))
(exp.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 x (*.f64 eps x))) (log1p.f64 (/.f64 1 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (+.f64 -1 eps) x 1) (+.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (fma.f64 (+.f64 -1 eps) x 1) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))
(fma.f64 (fma.f64 (+.f64 -1 eps) x 1) 1 (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (sqrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) 2) (cbrt.f64 (fma.f64 (+.f64 -1 eps) x 1)) (/.f64 (fma.f64 (+.f64 -1 eps) x 1) eps))
(+.f64 (+.f64 x (*.f64 eps x)) 0)
(+.f64 x (*.f64 eps x))
(+.f64 x (*.f64 (*.f64 eps x) 1))
(+.f64 0 (+.f64 x (*.f64 eps x)))
(+.f64 (*.f64 eps x) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 2 x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (*.f64 (*.f64 eps x) 1) x)
(+.f64 (+.f64 0 (*.f64 eps x)) x)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (*.f64 2 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))))
(+.f64 (+.f64 (*.f64 eps x) 0) x)
(-.f64 (fma.f64 (+.f64 -1 eps) x 1) 1)
(-.f64 0 (+.f64 x (*.f64 eps x)))
(-.f64 0 (-.f64 x (*.f64 eps x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 (*.f64 eps eps) (+.f64 eps 1)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 -1 eps))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 -1 eps))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 (*.f64 eps eps) (+.f64 eps 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x (*.f64 eps x)))))
(pow.f64 (+.f64 x (*.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)
(neg.f64 (+.f64 x (*.f64 eps x)))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 -1 x (*.f64 eps x))
(fma.f64 1 x (*.f64 eps x))
(fma.f64 x -1 (*.f64 eps x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
Outputs
2
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x))
(fma.f64 (fma.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps))) x 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
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(*.f64 eps x)
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(+.f64 (+.f64 (*.f64 eps x) 0) x)
(fma.f64 eps x x)
(-.f64 (fma.f64 (+.f64 -1 eps) x 1) 1)
(+.f64 (fma.f64 (+.f64 eps -1) x 1) -1)
(-.f64 (*.f64 eps x) x)
(-.f64 0 (+.f64 x (*.f64 eps x)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(-.f64 0 (-.f64 x (*.f64 eps x)))
(+.f64 (fma.f64 (+.f64 eps -1) x 1) -1)
(-.f64 (*.f64 eps x) x)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (+.f64 (*.f64 eps eps) (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (fma.f64 eps eps (+.f64 1 eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 -1 (pow.f64 eps 3)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 -1 eps))
(/.f64 x (/.f64 (-.f64 -1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (-.f64 -1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(*.f64 (/.f64 x (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 -1 eps))
(/.f64 x (/.f64 (-.f64 -1 eps) (-.f64 1 (*.f64 eps eps))))
(*.f64 (/.f64 x (-.f64 -1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))
(*.f64 (/.f64 x (-.f64 1 eps)) (-.f64 1 (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 eps 3)) x) (+.f64 (*.f64 eps eps) (+.f64 eps 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 eps 3))) (fma.f64 eps eps (+.f64 1 eps)))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 eps eps eps))) (+.f64 -1 (pow.f64 eps 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(*.f64 (/.f64 x (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (+.f64 1 (pow.f64 eps 3)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (*.f64 (fma.f64 eps x x) (-.f64 x (*.f64 eps x))) (-.f64 x (*.f64 eps x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 eps (*.f64 eps x)))) (-.f64 x (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 x (*.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 x x (*.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 eps x) 3)) (fma.f64 (*.f64 eps x) (-.f64 (*.f64 eps x) x) (*.f64 x x)))
(pow.f64 (+.f64 x (*.f64 eps x)) 1)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)
(fma.f64 eps x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)
(fma.f64 eps x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)
(fma.f64 eps x x)
(neg.f64 (+.f64 x (*.f64 eps x)))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(fabs.f64 (fma.f64 eps x x))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) x))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x)))))
(fma.f64 eps x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(fma.f64 eps x x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(fma.f64 eps x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 eps x x)
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) 1))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))
(fma.f64 eps x x)
(fma.f64 -1 x (*.f64 eps x))
(+.f64 (fma.f64 (+.f64 eps -1) x 1) -1)
(-.f64 (*.f64 eps x) x)
(fma.f64 1 x (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 x -1 (*.f64 eps x))
(+.f64 (fma.f64 (+.f64 eps -1) x 1) -1)
(-.f64 (*.f64 eps x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))
(fma.f64 eps x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 eps x))
(fma.f64 eps x x)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 90 to 64 computations (28.9% saved)

series3.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite111.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1552×associate-*l/
1210×distribute-lft-in
730×associate-/r*
424×associate-/r/
312×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01468
129852
2400352
Stop Event
1×node limit
Counts
4 → 442
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
(*.f64 x (-.f64 1 eps))
(*.f64 x (+.f64 eps 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) (sqrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 1 (neg.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 x eps)) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 2)) (cbrt.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (exp.f64 (*.f64 x eps))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x eps x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 -1) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x eps x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))))
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simplify168.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1042×associate-*r*
972×associate-/r*
950×associate-/l/
798×associate-*l*
688×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099915576
1272514666
Stop Event
1×node limit
Counts
538 → 684
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
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(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
1
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(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
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x
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(*.f64 (+.f64 1 eps) x)
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(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
x
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x)))) 1)
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(*.f64 (exp.f64 (fma.f64 x eps x)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))
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(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 eps 1)) x)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 eps 1)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (fma.f64 x eps x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (+.f64 eps 1))) (*.f64 (sqrt.f64 (+.f64 eps 1)) x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (cbrt.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x eps x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (*.f64 (cbrt.f64 (+.f64 eps 1)) x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 x)) (+.f64 eps 1))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (-.f64 -1 eps)) x)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) -1) (fma.f64 x eps x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 x (sqrt.f64 (+.f64 eps 1)))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 x (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (+.f64 eps 1) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (+.f64 eps 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) 1)) (+.f64 eps 1))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 eps 1)))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 -1 (sqrt.f64 (fma.f64 x eps x)))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (fma.f64 x eps x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 (sqrt.f64 (fma.f64 x eps x)))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (fma.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)
(neg.f64 (fma.f64 x eps x))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 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)
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 1 (*.f64 x (-.f64 -1 eps)))
(-.f64 1 (fma.f64 eps x x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (-.f64 -1 eps))))
(fma.f64 1/2 (pow.f64 (fma.f64 eps x x) 2) (-.f64 1 (fma.f64 eps x x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (*.f64 x x)) (+.f64 1 (*.f64 x (-.f64 -1 eps)))))
(fma.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)) (fma.f64 1/2 (pow.f64 (fma.f64 eps x x) 2) (-.f64 1 (fma.f64 eps x x))))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (/.f64 x (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x))) (*.f64 eps (/.f64 x (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x)))) (*.f64 eps (/.f64 x (exp.f64 x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (-.f64 eps 1)))
(+.f64 1 (fma.f64 eps x (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (*.f64 x (-.f64 eps 1))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1 (fma.f64 eps x (neg.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (fma.f64 (-.f64 eps 1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))))))
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1 (fma.f64 (+.f64 -1 eps) x (*.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3))))))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 eps x) x))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (exp.f64 (neg.f64 x))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))))
(fma.f64 eps (/.f64 x (exp.f64 x)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (*.f64 eps x) 3)) (exp.f64 (neg.f64 x)))))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 x (-.f64 eps 1)))
(exp.f64 (fma.f64 eps x (neg.f64 x)))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (-.f64 1 eps) x)
(*.f64 x (-.f64 1 eps))
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 eps 1) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 eps x x)
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)
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x eps x)))) 1)
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(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 x (/.f64 (+.f64 1 (sqrt.f64 eps)) (fma.f64 eps eps -1))) (+.f64 (sqrt.f64 eps) -1))
(/.f64 (*.f64 (/.f64 (fma.f64 eps eps -1) (+.f64 1 (sqrt.f64 eps))) x) (+.f64 -1 (sqrt.f64 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps eps (-.f64 1 eps))) x)
(*.f64 x (/.f64 (+.f64 1 (pow.f64 eps 3)) (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (*.f64 (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (/.f64 (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) x) (+.f64 eps 1))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) x) (-.f64 -1 eps))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) 1) (fma.f64 x eps x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 eps 1)) x)
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (+.f64 eps 1)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (fma.f64 x eps x))) (neg.f64 (sqrt.f64 (fma.f64 x eps x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 (+.f64 eps 1))) (*.f64 (sqrt.f64 (+.f64 eps 1)) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps))))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (*.f64 x (*.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (+.f64 1 eps) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (-.f64 -1 eps)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (-.f64 -1 eps) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (cbrt.f64 (fma.f64 x eps x))) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (fma.f64 eps x x))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (fma.f64 eps x x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x eps x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2)) (*.f64 (cbrt.f64 (+.f64 eps 1)) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 x (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (*.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (+.f64 1 eps) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (+.f64 1 eps) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (-.f64 -1 eps)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (-.f64 -1 eps) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (*.f64 (-.f64 -1 eps) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 x)) (+.f64 eps 1))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (-.f64 -1 eps)) x)
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) -1) (fma.f64 x eps x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 x (sqrt.f64 (+.f64 eps 1)))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps))))
(neg.f64 (/.f64 (pow.f64 (fma.f64 eps x x) 2) (*.f64 x (*.f64 (sqrt.f64 (+.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 x (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 x (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (*.f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (+.f64 eps 1) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (+.f64 1 eps) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (+.f64 1 eps) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (+.f64 eps 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (*.f64 (+.f64 1 eps) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (+.f64 1 eps) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) 1)) (+.f64 eps 1))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 eps 1)))) (sqrt.f64 (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 eps)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (sqrt.f64 (+.f64 1 eps)) (*.f64 x (neg.f64 (sqrt.f64 (+.f64 1 eps))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))) (cbrt.f64 (+.f64 eps 1)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (cbrt.f64 (+.f64 1 eps)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 -1 (sqrt.f64 (fma.f64 x eps x)))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 (sqrt.f64 (fma.f64 x eps x)))) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (fma.f64 x eps x) 2)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2))) (cbrt.f64 (fma.f64 x eps x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 (-.f64 -1 eps) x))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps x x) 2)) (*.f64 x (-.f64 -1 eps)))
(pow.f64 (fma.f64 x eps x) 1)
(fma.f64 eps x x)
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) 2)
(pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)
(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)
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(fma.f64 eps x x)
(log.f64 (+.f64 1 (expm1.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)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(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)

eval1.0s (7.1%)

Compiler

Compiled 48054 to 34533 computations (28.1% saved)

prune507.0ms (3.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1359121371
Fresh6612
Picked101
Done325
Total1369201389
Error
0.0b
Counts
1389 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
59.1b
(/.f64 (-.f64 (/.f64 (-.f64 1 x) eps) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
39.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
16.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
▶54.5b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
45.8b
(/.f64 (-.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
16.5b
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
16.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
54.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
43.7b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
54.5b
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
43.8b
(/.f64 (-.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
▶16.5b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
▶12.6b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
31.9b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
▶61.7b
(/.f64 (*.f64 eps x) 2)
59.6b
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
✓16.3b
(/.f64 2 2)
✓47.0b
(/.f64 0 2)
Compiler

Compiled 740 to 586 computations (20.8% saved)

localize21.0ms (0.1%)

Compiler

Compiled 53 to 32 computations (39.6% saved)

localize5.0ms (0%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (exp.f64 x))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1234×add-sqr-sqrt
1222×*-un-lft-identity
1134×add-cube-cbrt
1118×add-cbrt-cube
1108×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112011
2152311
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 x (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.f64 x)))))) (#(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 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 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 (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 (cbrt.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))))) (#(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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))))) (#(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 (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 pow.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1402×associate-*r*
1224×associate-*l*
840×distribute-rgt-in
840×distribute-lft-in
524×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095866
1235686
2809536
34917536
Stop Event
1×node limit
Counts
34 → 54
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)))
(-.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(*.f64 1 (/.f64 x (exp.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2))
(*.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 (cbrt.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (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))))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(log.f64 (exp.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 (log.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))
Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(fma.f64 x (neg.f64 x) (fma.f64 1/2 (pow.f64 x 3) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 -1/6 (pow.f64 x 4) x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 x 4) x)) (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 x (exp.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 1 (/.f64 x (exp.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 x (*.f64 (sqrt.f64 (exp.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 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))
(/.f64 x (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 x (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (+.f64 x x))))
(/.f64 x (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 x (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 x (*.f64 (sqrt.f64 (exp.f64 x)) (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 (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(neg.f64 (/.f64 x (neg.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(log.f64 (exp.f64 (/.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(exp.f64 (-.f64 (log.f64 x) x))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(/.f64 x (exp.f64 x))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 85 to 61 computations (28.2% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
858×associate-/r*
536×associate-/r/
498×associate-/l*
442×associate-+l+
426×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662
135250
2488148
Stop Event
1×node limit
Counts
2 → 170
Calls
Call 1
Inputs
(*.f64 x (-.f64 -1 eps))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (-.f64 -1 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (-.f64 -1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 -1 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 eps)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))))) 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simplify147.0ms (1%)

Algorithm
1×egg-herbie
Rules
1526×associate--l+
660×fma-def
602×times-frac
550×associate-*r*
506×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045012868
1126112032
2709412026
Stop Event
1×node limit
Counts
218 → 287
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x)))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(*.f64 -1 (*.f64 eps x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 -1 (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 -1 (-.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) -1) 1))
(+.f64 -1 (-.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) 1) 1))
(+.f64 (*.f64 x (-.f64 -1 eps)) 0)
(+.f64 1 (-.f64 (*.f64 x (-.f64 -1 eps)) 1))
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(pow.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2))
(log.f64 (exp.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(exp.f64 (log.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 x (-.f64 -1 eps) 1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 x (-.f64 -1 eps) 1))
Outputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 x (-.f64 -1 eps))
2
(+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)))
(+.f64 2 (*.f64 x (+.f64 eps (-.f64 (-.f64 -1 eps) 1))))
(fma.f64 x (+.f64 -1 (+.f64 eps (-.f64 -1 eps))) 2)
(fma.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)) 2)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (+.f64 2 (*.f64 x (+.f64 eps (-.f64 (-.f64 -1 eps) 1)))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (fma.f64 x (+.f64 -1 (+.f64 eps (-.f64 -1 eps))) 2))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (fma.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 x (-.f64 (+.f64 eps (*.f64 -1 (+.f64 1 eps))) 1)) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (+.f64 2 (fma.f64 x (+.f64 eps (-.f64 (-.f64 -1 eps) 1)) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) (fma.f64 x (+.f64 -1 (+.f64 eps (-.f64 -1 eps))) 2)) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 x 3)) (*.f64 x (+.f64 eps (+.f64 (neg.f64 eps) -2)))) (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x x)) 2))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 -1 x (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (exp.f64 (neg.f64 x))) x)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 -1 x (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x))))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 -1 x (exp.f64 (neg.f64 x))))))
(+.f64 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) x)) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 eps eps))) 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 x)))))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 eps eps)) (+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (fma.f64 -1 x (exp.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3))) (-.f64 (exp.f64 (neg.f64 x)) x))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 eps eps))) 1))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 x) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (-.f64 1 (fma.f64 eps x x)))
(+.f64 -1 (fma.f64 x (-.f64 -1 eps) 1))
(*.f64 x (-.f64 -1 eps))
(+.f64 -1 (-.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) -1) 1))
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(+.f64 -1 (-.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) 1) 1))
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(+.f64 (*.f64 x (-.f64 -1 eps)) 0)
(*.f64 x (-.f64 -1 eps))
(+.f64 1 (-.f64 (*.f64 x (-.f64 -1 eps)) 1))
(*.f64 x (-.f64 -1 eps))
(+.f64 1 (-.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 -1 eps)))) 1))
(*.f64 x (-.f64 -1 eps))
(+.f64 0 (*.f64 x (-.f64 -1 eps)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) -2)
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(+.f64 (*.f64 x (neg.f64 eps)) (*.f64 x -1))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))
(*.f64 x (-.f64 -1 eps))
(+.f64 (*.f64 (*.f64 x (-.f64 -1 eps)) -1) -2)
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(+.f64 (*.f64 (neg.f64 eps) x) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(-.f64 -1 (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(-.f64 (fma.f64 x (-.f64 -1 eps) 1) 1)
(*.f64 x (-.f64 -1 eps))
(-.f64 0 (*.f64 x (neg.f64 (-.f64 -1 eps))))
(*.f64 x (-.f64 -1 eps))
(-.f64 0 (-.f64 x (*.f64 (neg.f64 eps) x)))
(*.f64 x (-.f64 -1 eps))
(-.f64 (*.f64 x (neg.f64 (-.f64 -1 eps))) 2)
(+.f64 -1 (fma.f64 (*.f64 x (-.f64 -1 eps)) -1 -1))
(fma.f64 x (+.f64 1 eps) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (-.f64 -1 eps)))) (+.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps)))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (-.f64 -1 eps)))) (+.f64 1 (/.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps))))))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 eps x x))) 1) (/.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (+.f64 1 (fma.f64 eps x x))))
(/.f64 x (/.f64 1 (-.f64 -1 eps)))
(*.f64 x (-.f64 -1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 -1 eps) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)))
(/.f64 (-.f64 -1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (*.f64 eps (+.f64 -1 eps))) x))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 eps 3)) (+.f64 1 (*.f64 eps (+.f64 -1 eps)))) x)
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 -1 eps) 1)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 -1 eps))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)))
(/.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) (+.f64 1 (*.f64 eps (+.f64 -1 eps))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 eps 3)) (+.f64 1 (*.f64 eps (+.f64 -1 eps)))) x)
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 -1 eps) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 -1 eps))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 eps 3)) x) (+.f64 1 (*.f64 eps (+.f64 -1 eps))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 eps 3)) (+.f64 1 (*.f64 eps (+.f64 -1 eps)))) x)
(*.f64 x (/.f64 (-.f64 -1 (pow.f64 eps 3)) (fma.f64 eps (+.f64 -1 eps) 1)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 -1 eps))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 -1 eps))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.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 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.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 1 (*.f64 eps eps)) (+.f64 -1 eps)) x)
(*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 -1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) 1) (+.f64 1 (*.f64 eps (+.f64 -1 eps))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (+.f64 1 eps) -1))) (cbrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2)) (/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2)))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) (sqrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))) (sqrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (*.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2)) (/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)) (neg.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)) (fma.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (sqrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))) (sqrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2)) (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)) (/.f64 1 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))
(*.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3))))
(*.f64 (fma.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2)) (/.f64 (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3))))
(/.f64 (/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (+.f64 (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1))))
(/.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)))))
(/.f64 (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2) (*.f64 (+.f64 (sqrt.f64 (-.f64 1 (fma.f64 eps x x))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (fma.f64 eps x x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) 1) (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) 1) (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)) (fma.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) 1) (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)) (fma.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (fma.f64 x (-.f64 -1 eps) 1) 3)) 1) (+.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3) (pow.f64 (-.f64 1 (fma.f64 eps x x)) 3)) (fma.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)) (pow.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))) 2)))
(pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 1)
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (sqrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 2)
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 3)
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 3) 1/3)
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(sqrt.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2))
(fabs.f64 (+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps)))))
(log.f64 (exp.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(cbrt.f64 (pow.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 3))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(expm1.f64 (log1p.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (log.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 1))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(log1p.f64 (expm1.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))))
(-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))
(+.f64 (fma.f64 eps x x) (expm1.f64 (*.f64 x (-.f64 1 eps))))
(fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (fma.f64 x (-.f64 -1 eps) 1))
(+.f64 (fma.f64 x (-.f64 -1 eps) 1) (pow.f64 (exp.f64 x) (-.f64 1 eps)))
(+.f64 (-.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x)))))
0.0b
(*.f64 x (-.f64 1 eps))
0.0b
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))
✓0.1b
(exp.f64 (neg.f64 (*.f64 eps x)))
Compiler

Compiled 75 to 36 computations (52% saved)

series4.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite105.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1630×associate-*r/
1172×associate-*l/
696×associate-/r*
320×add-sqr-sqrt
314×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
131744
2434244
Stop Event
1×node limit
Counts
2 → 187
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 eps x)))
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x)))))
Outputs
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simplify145.0ms (1%)

Algorithm
1×egg-herbie
Rules
900×+-commutative
834×times-frac
678×fma-def
636×associate-+r-
594×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046812047
1119811269
2624111075
Stop Event
1×node limit
Counts
219 → 318
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1 (*.f64 eps x)) 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
1
(+.f64 (*.f64 -1 (*.f64 eps x)) 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
2
(+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (exp.f64 (neg.f64 x)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (exp.f64 (*.f64 eps x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (exp.f64 (*.f64 eps x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))
(pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (log.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (*.f64 eps x)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (exp.f64 (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (exp.f64 (*.f64 eps x)))
Outputs
1
(+.f64 (*.f64 -1 (*.f64 eps x)) 1)
(fma.f64 -1 (*.f64 eps x) 1)
(fma.f64 eps (neg.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps))) 1) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 (fma.f64 eps (neg.f64 x) 1) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 eps (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 eps x)))
1
(+.f64 (*.f64 -1 (*.f64 eps x)) 1)
(fma.f64 -1 (*.f64 eps x) 1)
(fma.f64 eps (neg.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps))) 1) (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))))
(+.f64 (fma.f64 eps (neg.f64 x) 1) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 eps (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 eps x)))
2
(+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))
(+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1)))
(fma.f64 -1 x 2)
(-.f64 2 x)
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x)))
(fma.f64 (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 -1 eps) 2))) (*.f64 x x) (+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1))))
(fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 -1 x 2))
(fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 -1 eps) 2))) (-.f64 2 x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))) (pow.f64 x 2)) (+.f64 2 (*.f64 (-.f64 (+.f64 eps (*.f64 -1 eps)) 1) x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3))) (pow.f64 x 3) (fma.f64 (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 -1 eps) 2))) (*.f64 x x) (+.f64 2 (*.f64 x (+.f64 (*.f64 0 eps) -1)))))
(fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 -1 eps) 3) (*.f64 -1/6 (pow.f64 eps 3))) (fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 -1 x 2)))
(fma.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (+.f64 -1 eps) 3) (*.f64 -1/6 (pow.f64 eps 3))) (fma.f64 (*.f64 x x) (*.f64 1/2 (fma.f64 eps eps (pow.f64 (+.f64 -1 eps) 2))) (-.f64 2 x)))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))
(+.f64 1 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))))
(+.f64 1 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 (exp.f64 x)))) (exp.f64 (neg.f64 x)))))
(+.f64 1 (+.f64 (*.f64 eps (+.f64 (*.f64 -1 x) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 eps (*.f64 x (+.f64 -1 (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 (*.f64 1/6 (exp.f64 (neg.f64 x))) (pow.f64 x 3))) (fma.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x))))))
(+.f64 1 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 1/2 (/.f64 1/2 (exp.f64 x)))) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 (*.f64 eps x))) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x)))
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (exp.f64 (fma.f64 eps x (neg.f64 x))))
(+.f64 (exp.f64 (*.f64 eps x)) 0)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(+.f64 0 (exp.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x))))) 1)
(neg.f64 (pow.f64 (exp.f64 eps) x))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(-.f64 0 (exp.f64 (*.f64 eps x)))
(neg.f64 (pow.f64 (exp.f64 eps) x))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x)))) 1)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (exp.f64 (*.f64 eps x))))) 1)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 (exp.f64 (*.f64 eps x)) 1)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 (exp.f64 (*.f64 eps x)) -1)
(neg.f64 (pow.f64 (exp.f64 eps) x))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(*.f64 1 (exp.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 eps x))) (sqrt.f64 (exp.f64 (*.f64 eps x))))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 eps x))) (neg.f64 (sqrt.f64 (exp.f64 (*.f64 eps x)))))
(neg.f64 (pow.f64 (exp.f64 eps) x))
(neg.f64 (pow.f64 (exp.f64 x) eps))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (cbrt.f64 (exp.f64 (*.f64 eps x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 (*.f64 eps x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2)) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) 2)) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 eps x))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 2)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)))
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(/.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 (+.f64 x x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (exp.f64 (*.f64 eps x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (*.f64 eps (+.f64 x x))))))
(/.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 (+.f64 x x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3) (pow.f64 (exp.f64 (*.f64 eps x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (+.f64 (*.f64 eps x) (*.f64 eps x)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (exp.f64 (+.f64 x (*.f64 eps (+.f64 x x))))))
(/.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 (+.f64 x x) x))))
(pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 1)
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2)
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 3)
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3) 1/3)
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (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))))
(log.f64 (exp.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))))))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 3))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(exp.f64 (log.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 1))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 1 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (exp.f64 (*.f64 eps x)))
(+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))
(+.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))

eval568.0ms (3.9%)

Compiler

Compiled 38115 to 23644 computations (38% saved)

prune557.0ms (3.8%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1285121297
Fresh5813
Picked101
Done246
Total1293241317
Error
0.0b
Counts
1317 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
14.1b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2) 2)
61.9b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 3) 2)
42.9b
(/.f64 (-.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
✓0.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
39.4b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
16.6b
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
54.8b
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
45.8b
(/.f64 (-.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
16.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
54.4b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
61.9b
(/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)
16.8b
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 eps 1)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
54.6b
(/.f64 (-.f64 x (neg.f64 1)) 2)
13.4b
(/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (exp.f64 (*.f64 eps x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (exp.f64 (*.f64 eps x))))) 2)
16.5b
(/.f64 (+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
31.9b
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
12.6b
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
16.5b
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
16.5b
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
✓61.7b
(/.f64 (*.f64 eps x) 2)
59.6b
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
✓16.3b
(/.f64 2 2)
✓47.0b
(/.f64 0 2)
Compiler

Compiled 437 to 323 computations (26.1% saved)

regimes130.0ms (0.9%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 eps x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 eps 1)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 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)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 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 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps)))) 3) 2)
(/.f64 (-.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 eps -1) x 1) (+.f64 1 (/.f64 1 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)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (*.f64 x eps) 2) (*.f64 eps (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 x (*.f64 x -1/2)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps)))) 2) 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 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x))))) 2)
(/.f64 (+.f64 (+.f64 (exp.f64 (*.f64 eps x)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (exp.f64 (*.f64 eps x))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 eps x)) 2)) (exp.f64 (*.f64 eps x))))) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
Calls

4 calls:

48.0ms
(/.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)
27.0ms
x
24.0ms
eps
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1eps
0.6b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.6b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 1114 to 772 computations (30.7% saved)

regimes115.0ms (0.8%)

Counts
35 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 eps x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 eps 1)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 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)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 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 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) x))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2)
Calls

2 calls:

82.0ms
x
16.0ms
eps
Results
ErrorSegmentsBranch
0.9b2x
12.6b1eps
Compiler

Compiled 540 to 382 computations (29.3% saved)

bsearch47.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
47.0ms
0.4537055243272189
2.286445856167492
Results
28.0ms55×body1024valid
8.0ms26×body512valid
5.0ms31×body256infinite
3.0ms4×body2048valid
2.0ms11×body256valid
Compiler

Compiled 240 to 173 computations (27.9% saved)

regimes66.0ms (0.5%)

Counts
31 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 eps x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 eps 1)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 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)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 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 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 0 2)
Calls

2 calls:

30.0ms
x
16.0ms
eps
Results
ErrorSegmentsBranch
0.9b2x
12.6b1eps
Compiler

Compiled 479 to 350 computations (26.9% saved)

bsearch77.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
77.0ms
2.286445856167492
2903.694973815242
Results
39.0ms70×body1024valid
16.0ms57×body256infinite
10.0ms31×body512valid
7.0ms9×body2048valid
3.0ms18×body256valid
Compiler

Compiled 220 to 173 computations (21.4% saved)

regimes53.0ms (0.4%)

Counts
30 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 eps x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2)
(/.f64 (-.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))) (*.f64 x (-.f64 -1 eps))) 2)
(/.f64 (+.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 eps 1)))) (neg.f64 (+.f64 1 (*.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (/.f64 (-.f64 1 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)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (*.f64 x (-.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 -1 eps)) 1) (+.f64 1 (/.f64 1 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 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2)
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2)
(/.f64 0 2)
Calls

2 calls:

26.0ms
x
14.0ms
eps
Results
ErrorSegmentsBranch
1.2b2x
16.3b1eps
Compiler

Compiled 465 to 345 computations (25.8% saved)

bsearch50.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
49.0ms
0.4537055243272189
2.286445856167492
Results
23.0ms48×body1024valid
9.0ms27×body512valid
8.0ms9×body2048valid
4.0ms24×body256infinite
3.0ms12×body256valid
Compiler

Compiled 192 to 161 computations (16.1% saved)

regimes29.0ms (0.2%)

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

2 calls:

16.0ms
x
9.0ms
eps
Results
ErrorSegmentsBranch
1.2b2x
16.3b1eps
Compiler

Compiled 169 to 127 computations (24.9% saved)

bsearch65.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
65.0ms
2.286445856167492
2903.694973815242
Results
34.0ms65×body1024valid
13.0ms33×body512valid
7.0ms10×body2048valid
7.0ms43×body256infinite
3.0ms20×body256valid
Compiler

Compiled 204 to 181 computations (11.3% saved)

regimes27.0ms (0.2%)

Accuracy

Total -61.4b remaining (-4938.1%)

Threshold costs -61.4b (-4938.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 0 2)
(/.f64 2 2)
(/.f64 (*.f64 eps x) 2)
(/.f64 (-.f64 x (neg.f64 1)) 2)
(/.f64 (-.f64 (-.f64 x (*.f64 x x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (neg.f64 1)) 2)
(/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 1 eps) x))) 2) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 1/2 (pow.f64 (*.f64 x eps) 2)) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (neg.f64 1)) 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (neg.f64 1)) 2)
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 eps))))) 2)
Outputs
(/.f64 2 2)
(/.f64 0 2)
Calls

2 calls:

17.0ms
x
7.0ms
eps
Results
ErrorSegmentsBranch
1.2b2x
16.3b1eps
Compiler

Compiled 110 to 85 computations (22.7% saved)

bsearch64.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
64.0ms
2.286445856167492
2903.694973815242
Results
35.0ms70×body1024valid
10.0ms25×body512valid
7.0ms10×body2048valid
7.0ms45×body256infinite
4.0ms23×body256valid
Compiler

Compiled 132 to 125 computations (5.3% saved)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
138×*-commutative
134×distribute-lft-neg-in
94×+-commutative
72×neg-sub0
66×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057313
188301
2141301
3210301
4272301
5330301
6395301
7438301
8456301
9460301
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 370) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (/.f64 0 2))
(if (<=.f64 x 7746191359077253/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 380) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 370) (/.f64 2 2) (/.f64 0 2))
(/.f64 0 2)
Outputs
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (exp.f64 x)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 (+.f64 x 1)) (exp.f64 x))) 2)
(/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x)))) 2))
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 x eps) x))) 2) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) 2))
(if (<=.f64 x 8106479329266893/4503599627370496) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 x eps) x))) 2) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (/.f64 x (exp.f64 x))) 2))
(if (<=.f64 x 370) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (/.f64 0 2))
(if (<=.f64 x 370) (/.f64 (+.f64 (exp.f64 (*.f64 eps (neg.f64 x))) (exp.f64 (-.f64 (*.f64 x eps) x))) 2) 0)
(if (<=.f64 x 7746191359077253/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) (/.f64 0 2))
(if (<=.f64 x 7746191359077253/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (neg.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))))) 2) 0)
(if (<=.f64 x 7746191359077253/4503599627370496) (/.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) 2) 0)
(if (<=.f64 x 380) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 1)) 2) (/.f64 0 2))
(if (<=.f64 x 380) (/.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) 1) 2) 0)
(if (<=.f64 x 380) (/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) 2) 0)
(if (<=.f64 x 370) (/.f64 2 2) (/.f64 0 2))
(if (<=.f64 x 370) 1 0)
(/.f64 0 2)
0
Compiler

Compiled 123 to 92 computations (25.2% saved)

soundness200.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
1306×fma-def
1196×associate-/l*
1030×associate-*l*
1026×times-frac
972×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
079235706
1216029944
Stop Event
1×node limit
1×node limit
Compiler

Compiled 363 to 272 computations (25.1% saved)

end104.0ms (0.7%)

Compiler

Compiled 111 to 70 computations (36.9% saved)

Profiling

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